/usr/lib/grass74/include/grass/lapack.h is in grass-dev 7.4.0-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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5022 5023 5024 5025 5026 5027 5028 5029 5030 5031 5032 5033 5034 5035 5036 5037 5038 5039 5040 5041 5042 5043 5044 5045 5046 5047 5048 5049 5050 5051 5052 5053 5054 5055 5056 5057 5058 5059 5060 5061 5062 5063 5064 5065 5066 5067 5068 5069 5070 5071 5072 5073 5074 5075 5076 5077 5078 5079 5080 5081 5082 5083 5084 5085 5086 5087 5088 5089 5090 5091 5092 5093 5094 5095 5096 5097 5098 5099 5100 5101 5102 5103 5104 5105 5106 5107 5108 5109 5110 5111 5112 5113 5114 5115 5116 5117 5118 5119 5120 5121 5122 5123 5124 5125 5126 5127 5128 5129 5130 5131 5132 5133 5134 5135 5136 5137 5138 5139 5140 5141 5142 5143 5144 5145 5146 | #ifndef LAPACK_WRAP_
#define LAPACK_WRAP_
extern int cbdsqr_(char *uplo, integer * n, integer * ncvt, integer * nru,
integer * ncc, real * d__, real * e, complex * vt,
integer * ldvt, complex * u, integer * ldu, complex * c__,
integer * ldc, real * rwork, integer * info,
ftnlen uplo_len);
extern int cgbbrd_(char *vect, integer * m, integer * n, integer * ncc,
integer * kl, integer * ku, complex * ab, integer * ldab,
real * d__, real * e, complex * q, integer * ldq,
complex * pt, integer * ldpt, complex * c__, integer * ldc,
complex * work, real * rwork, integer * info,
ftnlen vect_len);
extern int cgbcon_(char *norm, integer * n, integer * kl, integer * ku,
complex * ab, integer * ldab, integer * ipiv, real * anorm,
real * rcond, complex * work, real * rwork, integer * info,
ftnlen norm_len);
extern int cgbequ_(integer * m, integer * n, integer * kl, integer * ku,
complex * ab, integer * ldab, real * r__, real * c__,
real * rowcnd, real * colcnd, real * amax, integer * info);
extern int cgbrfs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, complex * ab, integer * ldab,
complex * afb, integer * ldafb, integer * ipiv,
complex * b, integer * ldb, complex * x, integer * ldx,
real * ferr, real * berr, complex * work, real * rwork,
integer * info, ftnlen trans_len);
extern int cgbsv_(integer * n, integer * kl, integer * ku, integer * nrhs,
complex * ab, integer * ldab, integer * ipiv, complex * b,
integer * ldb, integer * info);
extern int cgbsvx_(char *fact, char *trans, integer * n, integer * kl,
integer * ku, integer * nrhs, complex * ab, integer * ldab,
complex * afb, integer * ldafb, integer * ipiv,
char *equed, real * r__, real * c__, complex * b,
integer * ldb, complex * x, integer * ldx, real * rcond,
real * ferr, real * berr, complex * work, real * rwork,
integer * info, ftnlen fact_len, ftnlen trans_len,
ftnlen equed_len);
extern int cgbtf2_(integer * m, integer * n, integer * kl, integer * ku,
complex * ab, integer * ldab, integer * ipiv,
integer * info);
extern int cgbtrf_(integer * m, integer * n, integer * kl, integer * ku,
complex * ab, integer * ldab, integer * ipiv,
integer * info);
extern int cgbtrs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, complex * ab, integer * ldab,
integer * ipiv, complex * b, integer * ldb, integer * info,
ftnlen trans_len);
extern int cgebak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, real * scale, integer * m, complex * v,
integer * ldv, integer * info, ftnlen job_len,
ftnlen side_len);
extern int cgebal_(char *job, integer * n, complex * a, integer * lda,
integer * ilo, integer * ihi, real * scale, integer * info,
ftnlen job_len);
extern int cgebd2_(integer * m, integer * n, complex * a, integer * lda,
real * d__, real * e, complex * tauq, complex * taup,
complex * work, integer * info);
extern int cgebrd_(integer * m, integer * n, complex * a, integer * lda,
real * d__, real * e, complex * tauq, complex * taup,
complex * work, integer * lwork, integer * info);
extern int cgecon_(char *norm, integer * n, complex * a, integer * lda,
real * anorm, real * rcond, complex * work, real * rwork,
integer * info, ftnlen norm_len);
extern int cgeequ_(integer * m, integer * n, complex * a, integer * lda,
real * r__, real * c__, real * rowcnd, real * colcnd,
real * amax, integer * info);
extern int cgees_(char *jobvs, char *sort, L_fp select, integer * n,
complex * a, integer * lda, integer * sdim, complex * w,
complex * vs, integer * ldvs, complex * work,
integer * lwork, real * rwork, logical * bwork,
integer * info, ftnlen jobvs_len, ftnlen sort_len);
extern int cgeesx_(char *jobvs, char *sort, L_fp select, char *sense,
integer * n, complex * a, integer * lda, integer * sdim,
complex * w, complex * vs, integer * ldvs, real * rconde,
real * rcondv, complex * work, integer * lwork,
real * rwork, logical * bwork, integer * info,
ftnlen jobvs_len, ftnlen sort_len, ftnlen sense_len);
extern int cgeev_(char *jobvl, char *jobvr, integer * n, complex * a,
integer * lda, complex * w, complex * vl, integer * ldvl,
complex * vr, integer * ldvr, complex * work,
integer * lwork, real * rwork, integer * info,
ftnlen jobvl_len, ftnlen jobvr_len);
extern int cgeevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, complex * a, integer * lda, complex * w,
complex * vl, integer * ldvl, complex * vr, integer * ldvr,
integer * ilo, integer * ihi, real * scale, real * abnrm,
real * rconde, real * rcondv, complex * work,
integer * lwork, real * rwork, integer * info,
ftnlen balanc_len, ftnlen jobvl_len, ftnlen jobvr_len,
ftnlen sense_len);
extern int cgegs_(char *jobvsl, char *jobvsr, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, complex * alpha,
complex * beta, complex * vsl, integer * ldvsl,
complex * vsr, integer * ldvsr, complex * work,
integer * lwork, real * rwork, integer * info,
ftnlen jobvsl_len, ftnlen jobvsr_len);
extern int cgegv_(char *jobvl, char *jobvr, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, complex * alpha,
complex * beta, complex * vl, integer * ldvl, complex * vr,
integer * ldvr, complex * work, integer * lwork,
real * rwork, integer * info, ftnlen jobvl_len,
ftnlen jobvr_len);
extern int cgehd2_(integer * n, integer * ilo, integer * ihi, complex * a,
integer * lda, complex * tau, complex * work,
integer * info);
extern int cgehrd_(integer * n, integer * ilo, integer * ihi, complex * a,
integer * lda, complex * tau, complex * work,
integer * lwork, integer * info);
extern int cgelq2_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * info);
extern int cgelqf_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * lwork,
integer * info);
extern int cgels_(char *trans, integer * m, integer * n, integer * nrhs,
complex * a, integer * lda, complex * b, integer * ldb,
complex * work, integer * lwork, integer * info,
ftnlen trans_len);
extern int cgelsd_(integer * m, integer * n, integer * nrhs, complex * a,
integer * lda, complex * b, integer * ldb, real * s,
real * rcond, integer * rank, complex * work,
integer * lwork, real * rwork, integer * iwork,
integer * info);
extern int cgelss_(integer * m, integer * n, integer * nrhs, complex * a,
integer * lda, complex * b, integer * ldb, real * s,
real * rcond, integer * rank, complex * work,
integer * lwork, real * rwork, integer * info);
extern int cgelsx_(integer * m, integer * n, integer * nrhs, complex * a,
integer * lda, complex * b, integer * ldb, integer * jpvt,
real * rcond, integer * rank, complex * work, real * rwork,
integer * info);
extern int cgelsy_(integer * m, integer * n, integer * nrhs, complex * a,
integer * lda, complex * b, integer * ldb, integer * jpvt,
real * rcond, integer * rank, complex * work,
integer * lwork, real * rwork, integer * info);
extern int cgeql2_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * info);
extern int cgeqlf_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * lwork,
integer * info);
extern int cgeqp3_(integer * m, integer * n, complex * a, integer * lda,
integer * jpvt, complex * tau, complex * work,
integer * lwork, real * rwork, integer * info);
extern int cgeqpf_(integer * m, integer * n, complex * a, integer * lda,
integer * jpvt, complex * tau, complex * work,
real * rwork, integer * info);
extern int cgeqr2_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * info);
extern int cgeqrf_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * lwork,
integer * info);
extern int cgerfs_(char *trans, integer * n, integer * nrhs, complex * a,
integer * lda, complex * af, integer * ldaf,
integer * ipiv, complex * b, integer * ldb, complex * x,
integer * ldx, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen trans_len);
extern int cgerq2_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * info);
extern int cgerqf_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * lwork,
integer * info);
extern int cgesc2_(integer * n, complex * a, integer * lda, complex * rhs,
integer * ipiv, integer * jpiv, real * scale);
extern int cgesdd_(char *jobz, integer * m, integer * n, complex * a,
integer * lda, real * s, complex * u, integer * ldu,
complex * vt, integer * ldvt, complex * work,
integer * lwork, real * rwork, integer * iwork,
integer * info, ftnlen jobz_len);
extern int cgesv_(integer * n, integer * nrhs, complex * a, integer * lda,
integer * ipiv, complex * b, integer * ldb, integer * info);
extern int cgesvd_(char *jobu, char *jobvt, integer * m, integer * n,
complex * a, integer * lda, real * s, complex * u,
integer * ldu, complex * vt, integer * ldvt,
complex * work, integer * lwork, real * rwork,
integer * info, ftnlen jobu_len, ftnlen jobvt_len);
extern int cgesvx_(char *fact, char *trans, integer * n, integer * nrhs,
complex * a, integer * lda, complex * af, integer * ldaf,
integer * ipiv, char *equed, real * r__, real * c__,
complex * b, integer * ldb, complex * x, integer * ldx,
real * rcond, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen fact_len,
ftnlen trans_len, ftnlen equed_len);
extern int cgetc2_(integer * n, complex * a, integer * lda, integer * ipiv,
integer * jpiv, integer * info);
extern int cgetf2_(integer * m, integer * n, complex * a, integer * lda,
integer * ipiv, integer * info);
extern int cgetrf_(integer * m, integer * n, complex * a, integer * lda,
integer * ipiv, integer * info);
extern int cgetri_(integer * n, complex * a, integer * lda, integer * ipiv,
complex * work, integer * lwork, integer * info);
extern int cgetrs_(char *trans, integer * n, integer * nrhs, complex * a,
integer * lda, integer * ipiv, complex * b, integer * ldb,
integer * info, ftnlen trans_len);
extern int cggbak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, real * lscale, real * rscale, integer * m,
complex * v, integer * ldv, integer * info, ftnlen job_len,
ftnlen side_len);
extern int cggbal_(char *job, integer * n, complex * a, integer * lda,
complex * b, integer * ldb, integer * ilo, integer * ihi,
real * lscale, real * rscale, real * work, integer * info,
ftnlen job_len);
extern int cgges_(char *jobvsl, char *jobvsr, char *sort, L_fp selctg,
integer * n, complex * a, integer * lda, complex * b,
integer * ldb, integer * sdim, complex * alpha,
complex * beta, complex * vsl, integer * ldvsl,
complex * vsr, integer * ldvsr, complex * work,
integer * lwork, real * rwork, logical * bwork,
integer * info, ftnlen jobvsl_len, ftnlen jobvsr_len,
ftnlen sort_len);
extern int cggesx_(char *jobvsl, char *jobvsr, char *sort, L_fp selctg,
char *sense, integer * n, complex * a, integer * lda,
complex * b, integer * ldb, integer * sdim,
complex * alpha, complex * beta, complex * vsl,
integer * ldvsl, complex * vsr, integer * ldvsr,
real * rconde, real * rcondv, complex * work,
integer * lwork, real * rwork, integer * iwork,
integer * liwork, logical * bwork, integer * info,
ftnlen jobvsl_len, ftnlen jobvsr_len, ftnlen sort_len,
ftnlen sense_len);
extern int cggev_(char *jobvl, char *jobvr, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, complex * alpha,
complex * beta, complex * vl, integer * ldvl, complex * vr,
integer * ldvr, complex * work, integer * lwork,
real * rwork, integer * info, ftnlen jobvl_len,
ftnlen jobvr_len);
extern int cggevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, complex * a, integer * lda, complex * b,
integer * ldb, complex * alpha, complex * beta,
complex * vl, integer * ldvl, complex * vr, integer * ldvr,
integer * ilo, integer * ihi, real * lscale, real * rscale,
real * abnrm, real * bbnrm, real * rconde, real * rcondv,
complex * work, integer * lwork, real * rwork,
integer * iwork, logical * bwork, integer * info,
ftnlen balanc_len, ftnlen jobvl_len, ftnlen jobvr_len,
ftnlen sense_len);
extern int cggglm_(integer * n, integer * m, integer * p, complex * a,
integer * lda, complex * b, integer * ldb, complex * d__,
complex * x, complex * y, complex * work, integer * lwork,
integer * info);
extern int cgghrd_(char *compq, char *compz, integer * n, integer * ilo,
integer * ihi, complex * a, integer * lda, complex * b,
integer * ldb, complex * q, integer * ldq, complex * z__,
integer * ldz, integer * info, ftnlen compq_len,
ftnlen compz_len);
extern int cgglse_(integer * m, integer * n, integer * p, complex * a,
integer * lda, complex * b, integer * ldb, complex * c__,
complex * d__, complex * x, complex * work,
integer * lwork, integer * info);
extern int cggqrf_(integer * n, integer * m, integer * p, complex * a,
integer * lda, complex * taua, complex * b, integer * ldb,
complex * taub, complex * work, integer * lwork,
integer * info);
extern int cggrqf_(integer * m, integer * p, integer * n, complex * a,
integer * lda, complex * taua, complex * b, integer * ldb,
complex * taub, complex * work, integer * lwork,
integer * info);
extern int cggsvd_(char *jobu, char *jobv, char *jobq, integer * m,
integer * n, integer * p, integer * k, integer * l,
complex * a, integer * lda, complex * b, integer * ldb,
real * alpha, real * beta, complex * u, integer * ldu,
complex * v, integer * ldv, complex * q, integer * ldq,
complex * work, real * rwork, integer * iwork,
integer * info, ftnlen jobu_len, ftnlen jobv_len,
ftnlen jobq_len);
extern int cggsvp_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, complex * a, integer * lda,
complex * b, integer * ldb, real * tola, real * tolb,
integer * k, integer * l, complex * u, integer * ldu,
complex * v, integer * ldv, complex * q, integer * ldq,
integer * iwork, real * rwork, complex * tau,
complex * work, integer * info, ftnlen jobu_len,
ftnlen jobv_len, ftnlen jobq_len);
extern int cgtcon_(char *norm, integer * n, complex * dl, complex * d__,
complex * du, complex * du2, integer * ipiv, real * anorm,
real * rcond, complex * work, integer * info,
ftnlen norm_len);
extern int cgtrfs_(char *trans, integer * n, integer * nrhs, complex * dl,
complex * d__, complex * du, complex * dlf, complex * df,
complex * duf, complex * du2, integer * ipiv, complex * b,
integer * ldb, complex * x, integer * ldx, real * ferr,
real * berr, complex * work, real * rwork, integer * info,
ftnlen trans_len);
extern int cgtsv_(integer * n, integer * nrhs, complex * dl, complex * d__,
complex * du, complex * b, integer * ldb, integer * info);
extern int cgtsvx_(char *fact, char *trans, integer * n, integer * nrhs,
complex * dl, complex * d__, complex * du, complex * dlf,
complex * df, complex * duf, complex * du2, integer * ipiv,
complex * b, integer * ldb, complex * x, integer * ldx,
real * rcond, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen fact_len,
ftnlen trans_len);
extern int cgttrf_(integer * n, complex * dl, complex * d__, complex * du,
complex * du2, integer * ipiv, integer * info);
extern int cgttrs_(char *trans, integer * n, integer * nrhs, complex * dl,
complex * d__, complex * du, complex * du2, integer * ipiv,
complex * b, integer * ldb, integer * info,
ftnlen trans_len);
extern int cgtts2_(integer * itrans, integer * n, integer * nrhs,
complex * dl, complex * d__, complex * du, complex * du2,
integer * ipiv, complex * b, integer * ldb);
extern int chbev_(char *jobz, char *uplo, integer * n, integer * kd,
complex * ab, integer * ldab, real * w, complex * z__,
integer * ldz, complex * work, real * rwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int chbevd_(char *jobz, char *uplo, integer * n, integer * kd,
complex * ab, integer * ldab, real * w, complex * z__,
integer * ldz, complex * work, integer * lwork,
real * rwork, integer * lrwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int chbevx_(char *jobz, char *range, char *uplo, integer * n,
integer * kd, complex * ab, integer * ldab, complex * q,
integer * ldq, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
complex * z__, integer * ldz, complex * work, real * rwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int chbgst_(char *vect, char *uplo, integer * n, integer * ka,
integer * kb, complex * ab, integer * ldab, complex * bb,
integer * ldbb, complex * x, integer * ldx, complex * work,
real * rwork, integer * info, ftnlen vect_len,
ftnlen uplo_len);
extern int chbgv_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, complex * ab, integer * ldab, complex * bb,
integer * ldbb, real * w, complex * z__, integer * ldz,
complex * work, real * rwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int chbgvd_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, complex * ab, integer * ldab, complex * bb,
integer * ldbb, real * w, complex * z__, integer * ldz,
complex * work, integer * lwork, real * rwork,
integer * lrwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int chbgvx_(char *jobz, char *range, char *uplo, integer * n,
integer * ka, integer * kb, complex * ab, integer * ldab,
complex * bb, integer * ldbb, complex * q, integer * ldq,
real * vl, real * vu, integer * il, integer * iu,
real * abstol, integer * m, real * w, complex * z__,
integer * ldz, complex * work, real * rwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int chbtrd_(char *vect, char *uplo, integer * n, integer * kd,
complex * ab, integer * ldab, real * d__, real * e,
complex * q, integer * ldq, complex * work, integer * info,
ftnlen vect_len, ftnlen uplo_len);
extern int checon_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, real * anorm, real * rcond, complex * work,
integer * info, ftnlen uplo_len);
extern int cheev_(char *jobz, char *uplo, integer * n, complex * a,
integer * lda, real * w, complex * work, integer * lwork,
real * rwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int cheevd_(char *jobz, char *uplo, integer * n, complex * a,
integer * lda, real * w, complex * work, integer * lwork,
real * rwork, integer * lrwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int cheevr_(char *jobz, char *range, char *uplo, integer * n,
complex * a, integer * lda, real * vl, real * vu,
integer * il, integer * iu, real * abstol, integer * m,
real * w, complex * z__, integer * ldz, integer * isuppz,
complex * work, integer * lwork, real * rwork,
integer * lrwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int cheevx_(char *jobz, char *range, char *uplo, integer * n,
complex * a, integer * lda, real * vl, real * vu,
integer * il, integer * iu, real * abstol, integer * m,
real * w, complex * z__, integer * ldz, complex * work,
integer * lwork, real * rwork, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int chegs2_(integer * itype, char *uplo, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int chegst_(integer * itype, char *uplo, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int chegv_(integer * itype, char *jobz, char *uplo, integer * n,
complex * a, integer * lda, complex * b, integer * ldb,
real * w, complex * work, integer * lwork, real * rwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int chegvd_(integer * itype, char *jobz, char *uplo, integer * n,
complex * a, integer * lda, complex * b, integer * ldb,
real * w, complex * work, integer * lwork, real * rwork,
integer * lrwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int chegvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, complex * a, integer * lda, complex * b,
integer * ldb, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
complex * z__, integer * ldz, complex * work,
integer * lwork, real * rwork, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int cherfs_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, complex * af, integer * ldaf,
integer * ipiv, complex * b, integer * ldb, complex * x,
integer * ldx, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen uplo_len);
extern int chesv_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, integer * ipiv, complex * b, integer * ldb,
complex * work, integer * lwork, integer * info,
ftnlen uplo_len);
extern int chesvx_(char *fact, char *uplo, integer * n, integer * nrhs,
complex * a, integer * lda, complex * af, integer * ldaf,
integer * ipiv, complex * b, integer * ldb, complex * x,
integer * ldx, real * rcond, real * ferr, real * berr,
complex * work, integer * lwork, real * rwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int chetd2_(char *uplo, integer * n, complex * a, integer * lda,
real * d__, real * e, complex * tau, integer * info,
ftnlen uplo_len);
extern int chetf2_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int chetrd_(char *uplo, integer * n, complex * a, integer * lda,
real * d__, real * e, complex * tau, complex * work,
integer * lwork, integer * info, ftnlen uplo_len);
extern int chetrf_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, complex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int chetri_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, complex * work, integer * info,
ftnlen uplo_len);
extern int chetrs_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, integer * ipiv, complex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int chgeqz_(char *job, char *compq, char *compz, integer * n,
integer * ilo, integer * ihi, complex * a, integer * lda,
complex * b, integer * ldb, complex * alpha,
complex * beta, complex * q, integer * ldq, complex * z__,
integer * ldz, complex * work, integer * lwork,
real * rwork, integer * info, ftnlen job_len,
ftnlen compq_len, ftnlen compz_len);
extern int chpcon_(char *uplo, integer * n, complex * ap, integer * ipiv,
real * anorm, real * rcond, complex * work, integer * info,
ftnlen uplo_len);
extern int chpev_(char *jobz, char *uplo, integer * n, complex * ap, real * w,
complex * z__, integer * ldz, complex * work, real * rwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int chpevd_(char *jobz, char *uplo, integer * n, complex * ap,
real * w, complex * z__, integer * ldz, complex * work,
integer * lwork, real * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int chpevx_(char *jobz, char *range, char *uplo, integer * n,
complex * ap, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
complex * z__, integer * ldz, complex * work, real * rwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int chpgst_(integer * itype, char *uplo, integer * n, complex * ap,
complex * bp, integer * info, ftnlen uplo_len);
extern int chpgv_(integer * itype, char *jobz, char *uplo, integer * n,
complex * ap, complex * bp, real * w, complex * z__,
integer * ldz, complex * work, real * rwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int chpgvd_(integer * itype, char *jobz, char *uplo, integer * n,
complex * ap, complex * bp, real * w, complex * z__,
integer * ldz, complex * work, integer * lwork,
real * rwork, integer * lrwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int chpgvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, complex * ap, complex * bp, real * vl,
real * vu, integer * il, integer * iu, real * abstol,
integer * m, real * w, complex * z__, integer * ldz,
complex * work, real * rwork, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int chprfs_(char *uplo, integer * n, integer * nrhs, complex * ap,
complex * afp, integer * ipiv, complex * b, integer * ldb,
complex * x, integer * ldx, real * ferr, real * berr,
complex * work, real * rwork, integer * info,
ftnlen uplo_len);
extern int chpsv_(char *uplo, integer * n, integer * nrhs, complex * ap,
integer * ipiv, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int chpsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
complex * ap, complex * afp, integer * ipiv, complex * b,
integer * ldb, complex * x, integer * ldx, real * rcond,
real * ferr, real * berr, complex * work, real * rwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int chptrd_(char *uplo, integer * n, complex * ap, real * d__,
real * e, complex * tau, integer * info, ftnlen uplo_len);
extern int chptrf_(char *uplo, integer * n, complex * ap, integer * ipiv,
integer * info, ftnlen uplo_len);
extern int chptri_(char *uplo, integer * n, complex * ap, integer * ipiv,
complex * work, integer * info, ftnlen uplo_len);
extern int chptrs_(char *uplo, integer * n, integer * nrhs, complex * ap,
integer * ipiv, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int chsein_(char *side, char *eigsrc, char *initv, logical * select,
integer * n, complex * h__, integer * ldh, complex * w,
complex * vl, integer * ldvl, complex * vr, integer * ldvr,
integer * mm, integer * m, complex * work, real * rwork,
integer * ifaill, integer * ifailr, integer * info,
ftnlen side_len, ftnlen eigsrc_len, ftnlen initv_len);
extern int chseqr_(char *job, char *compz, integer * n, integer * ilo,
integer * ihi, complex * h__, integer * ldh, complex * w,
complex * z__, integer * ldz, complex * work,
integer * lwork, integer * info, ftnlen job_len,
ftnlen compz_len);
extern int clabrd_(integer * m, integer * n, integer * nb, complex * a,
integer * lda, real * d__, real * e, complex * tauq,
complex * taup, complex * x, integer * ldx, complex * y,
integer * ldy);
extern int clacgv_(integer * n, complex * x, integer * incx);
extern int clacon_(integer * n, complex * v, complex * x, real * est,
integer * kase);
extern int clacp2_(char *uplo, integer * m, integer * n, real * a,
integer * lda, complex * b, integer * ldb,
ftnlen uplo_len);
extern int clacpy_(char *uplo, integer * m, integer * n, complex * a,
integer * lda, complex * b, integer * ldb,
ftnlen uplo_len);
extern int clacrm_(integer * m, integer * n, complex * a, integer * lda,
real * b, integer * ldb, complex * c__, integer * ldc,
real * rwork);
extern int clacrt_(integer * n, complex * cx, integer * incx, complex * cy,
integer * incy, complex * c__, complex * s);
extern C_f cladiv_(complex * ret_val, complex * x, complex * y);
extern int claed0_(integer * qsiz, integer * n, real * d__, real * e,
complex * q, integer * ldq, complex * qstore,
integer * ldqs, real * rwork, integer * iwork,
integer * info);
extern int claed7_(integer * n, integer * cutpnt, integer * qsiz,
integer * tlvls, integer * curlvl, integer * curpbm,
real * d__, complex * q, integer * ldq, real * rho,
integer * indxq, real * qstore, integer * qptr,
integer * prmptr, integer * perm, integer * givptr,
integer * givcol, real * givnum, complex * work,
real * rwork, integer * iwork, integer * info);
extern int claed8_(integer * k, integer * n, integer * qsiz, complex * q,
integer * ldq, real * d__, real * rho, integer * cutpnt,
real * z__, real * dlamda, complex * q2, integer * ldq2,
real * w, integer * indxp, integer * indx, integer * indxq,
integer * perm, integer * givptr, integer * givcol,
real * givnum, integer * info);
extern int claein_(logical * rightv, logical * noinit, integer * n,
complex * h__, integer * ldh, complex * w, complex * v,
complex * b, integer * ldb, real * rwork, real * eps3,
real * smlnum, integer * info);
extern int claesy_(complex * a, complex * b, complex * c__, complex * rt1,
complex * rt2, complex * evscal, complex * cs1,
complex * sn1);
extern int claev2_(complex * a, complex * b, complex * c__, real * rt1,
real * rt2, real * cs1, complex * sn1);
extern int clags2_(logical * upper, real * a1, complex * a2, real * a3,
real * b1, complex * b2, real * b3, real * csu,
complex * snu, real * csv, complex * snv, real * csq,
complex * snq);
extern int clagtm_(char *trans, integer * n, integer * nrhs, real * alpha,
complex * dl, complex * d__, complex * du, complex * x,
integer * ldx, real * beta, complex * b, integer * ldb,
ftnlen trans_len);
extern int clahef_(char *uplo, integer * n, integer * nb, integer * kb,
complex * a, integer * lda, integer * ipiv, complex * w,
integer * ldw, integer * info, ftnlen uplo_len);
extern int clahqr_(logical * wantt, logical * wantz, integer * n,
integer * ilo, integer * ihi, complex * h__, integer * ldh,
complex * w, integer * iloz, integer * ihiz, complex * z__,
integer * ldz, integer * info);
extern int clahrd_(integer * n, integer * k, integer * nb, complex * a,
integer * lda, complex * tau, complex * t, integer * ldt,
complex * y, integer * ldy);
extern int claic1_(integer * job, integer * j, complex * x, real * sest,
complex * w, complex * gamma, real * sestpr, complex * s,
complex * c__);
extern int clals0_(integer * icompq, integer * nl, integer * nr,
integer * sqre, integer * nrhs, complex * b, integer * ldb,
complex * bx, integer * ldbx, integer * perm,
integer * givptr, integer * givcol, integer * ldgcol,
real * givnum, integer * ldgnum, real * poles, real * difl,
real * difr, real * z__, integer * k, real * c__, real * s,
real * rwork, integer * info);
extern int clalsa_(integer * icompq, integer * smlsiz, integer * n,
integer * nrhs, complex * b, integer * ldb, complex * bx,
integer * ldbx, real * u, integer * ldu, real * vt,
integer * k, real * difl, real * difr, real * z__,
real * poles, integer * givptr, integer * givcol,
integer * ldgcol, integer * perm, real * givnum,
real * c__, real * s, real * rwork, integer * iwork,
integer * info);
extern int clalsd_(char *uplo, integer * smlsiz, integer * n, integer * nrhs,
real * d__, real * e, complex * b, integer * ldb,
real * rcond, integer * rank, complex * work, real * rwork,
integer * iwork, integer * info, ftnlen uplo_len);
extern E_f clangb_(char *norm, integer * n, integer * kl, integer * ku,
complex * ab, integer * ldab, real * work,
ftnlen norm_len);
extern E_f clange_(char *norm, integer * m, integer * n, complex * a,
integer * lda, real * work, ftnlen norm_len);
extern E_f clangt_(char *norm, integer * n, complex * dl, complex * d__,
complex * du, ftnlen norm_len);
extern E_f clanhb_(char *norm, char *uplo, integer * n, integer * k,
complex * ab, integer * ldab, real * work, ftnlen norm_len,
ftnlen uplo_len);
extern E_f clanhe_(char *norm, char *uplo, integer * n, complex * a,
integer * lda, real * work, ftnlen norm_len,
ftnlen uplo_len);
extern E_f clanhp_(char *norm, char *uplo, integer * n, complex * ap,
real * work, ftnlen norm_len, ftnlen uplo_len);
extern E_f clanhs_(char *norm, integer * n, complex * a, integer * lda,
real * work, ftnlen norm_len);
extern E_f clanht_(char *norm, integer * n, real * d__, complex * e,
ftnlen norm_len);
extern E_f clansb_(char *norm, char *uplo, integer * n, integer * k,
complex * ab, integer * ldab, real * work, ftnlen norm_len,
ftnlen uplo_len);
extern E_f clansp_(char *norm, char *uplo, integer * n, complex * ap,
real * work, ftnlen norm_len, ftnlen uplo_len);
extern E_f clansy_(char *norm, char *uplo, integer * n, complex * a,
integer * lda, real * work, ftnlen norm_len,
ftnlen uplo_len);
extern E_f clantb_(char *norm, char *uplo, char *diag, integer * n,
integer * k, complex * ab, integer * ldab, real * work,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern E_f clantp_(char *norm, char *uplo, char *diag, integer * n,
complex * ap, real * work, ftnlen norm_len,
ftnlen uplo_len, ftnlen diag_len);
extern E_f clantr_(char *norm, char *uplo, char *diag, integer * m,
integer * n, complex * a, integer * lda, real * work,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int clapll_(integer * n, complex * x, integer * incx, complex * y,
integer * incy, real * ssmin);
extern int clapmt_(logical * forwrd, integer * m, integer * n, complex * x,
integer * ldx, integer * k);
extern int claqgb_(integer * m, integer * n, integer * kl, integer * ku,
complex * ab, integer * ldab, real * r__, real * c__,
real * rowcnd, real * colcnd, real * amax, char *equed,
ftnlen equed_len);
extern int claqge_(integer * m, integer * n, complex * a, integer * lda,
real * r__, real * c__, real * rowcnd, real * colcnd,
real * amax, char *equed, ftnlen equed_len);
extern int claqhb_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, real * s, real * scond, real * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int claqhe_(char *uplo, integer * n, complex * a, integer * lda,
real * s, real * scond, real * amax, char *equed,
ftnlen uplo_len, ftnlen equed_len);
extern int claqhp_(char *uplo, integer * n, complex * ap, real * s,
real * scond, real * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int claqp2_(integer * m, integer * n, integer * offset, complex * a,
integer * lda, integer * jpvt, complex * tau, real * vn1,
real * vn2, complex * work);
extern int claqps_(integer * m, integer * n, integer * offset, integer * nb,
integer * kb, complex * a, integer * lda, integer * jpvt,
complex * tau, real * vn1, real * vn2, complex * auxv,
complex * f, integer * ldf);
extern int claqsb_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, real * s, real * scond, real * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int claqsp_(char *uplo, integer * n, complex * ap, real * s,
real * scond, real * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int claqsy_(char *uplo, integer * n, complex * a, integer * lda,
real * s, real * scond, real * amax, char *equed,
ftnlen uplo_len, ftnlen equed_len);
extern int clar1v_(integer * n, integer * b1, integer * bn, real * sigma,
real * d__, real * l, real * ld, real * lld, real * gersch,
complex * z__, real * ztz, real * mingma, integer * r__,
integer * isuppz, real * work);
extern int clar2v_(integer * n, complex * x, complex * y, complex * z__,
integer * incx, real * c__, complex * s, integer * incc);
extern int clarcm_(integer * m, integer * n, real * a, integer * lda,
complex * b, integer * ldb, complex * c__, integer * ldc,
real * rwork);
extern int clarf_(char *side, integer * m, integer * n, complex * v,
integer * incv, complex * tau, complex * c__, integer * ldc,
complex * work, ftnlen side_len);
extern int clarfb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, complex * v,
integer * ldv, complex * t, integer * ldt, complex * c__,
integer * ldc, complex * work, integer * ldwork,
ftnlen side_len, ftnlen trans_len, ftnlen direct_len,
ftnlen storev_len);
extern int clarfg_(integer * n, complex * alpha, complex * x, integer * incx,
complex * tau);
extern int clarft_(char *direct, char *storev, integer * n, integer * k,
complex * v, integer * ldv, complex * tau, complex * t,
integer * ldt, ftnlen direct_len, ftnlen storev_len);
extern int clarfx_(char *side, integer * m, integer * n, complex * v,
complex * tau, complex * c__, integer * ldc,
complex * work, ftnlen side_len);
extern int clargv_(integer * n, complex * x, integer * incx, complex * y,
integer * incy, real * c__, integer * incc);
extern int clarnv_(integer * idist, integer * iseed, integer * n,
complex * x);
extern int clarrv_(integer * n, real * d__, real * l, integer * isplit,
integer * m, real * w, integer * iblock, real * gersch,
real * tol, complex * z__, integer * ldz, integer * isuppz,
real * work, integer * iwork, integer * info);
extern int clartg_(complex * f, complex * g, real * cs, complex * sn,
complex * r__);
extern int clartv_(integer * n, complex * x, integer * incx, complex * y,
integer * incy, real * c__, complex * s, integer * incc);
extern int clarz_(char *side, integer * m, integer * n, integer * l,
complex * v, integer * incv, complex * tau, complex * c__,
integer * ldc, complex * work, ftnlen side_len);
extern int clarzb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, integer * l,
complex * v, integer * ldv, complex * t, integer * ldt,
complex * c__, integer * ldc, complex * work,
integer * ldwork, ftnlen side_len, ftnlen trans_len,
ftnlen direct_len, ftnlen storev_len);
extern int clarzt_(char *direct, char *storev, integer * n, integer * k,
complex * v, integer * ldv, complex * tau, complex * t,
integer * ldt, ftnlen direct_len, ftnlen storev_len);
extern int clascl_(char *type__, integer * kl, integer * ku, real * cfrom,
real * cto, integer * m, integer * n, complex * a,
integer * lda, integer * info, ftnlen type_len);
extern int claset_(char *uplo, integer * m, integer * n, complex * alpha,
complex * beta, complex * a, integer * lda,
ftnlen uplo_len);
extern int clasr_(char *side, char *pivot, char *direct, integer * m,
integer * n, real * c__, real * s, complex * a,
integer * lda, ftnlen side_len, ftnlen pivot_len,
ftnlen direct_len);
extern int classq_(integer * n, complex * x, integer * incx, real * scale,
real * sumsq);
extern int claswp_(integer * n, complex * a, integer * lda, integer * k1,
integer * k2, integer * ipiv, integer * incx);
extern int clasyf_(char *uplo, integer * n, integer * nb, integer * kb,
complex * a, integer * lda, integer * ipiv, complex * w,
integer * ldw, integer * info, ftnlen uplo_len);
extern int clatbs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, integer * kd, complex * ab, integer * ldab,
complex * x, real * scale, real * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int clatdf_(integer * ijob, integer * n, complex * z__, integer * ldz,
complex * rhs, real * rdsum, real * rdscal, integer * ipiv,
integer * jpiv);
extern int clatps_(char *uplo, char *trans, char *diag, char *normin,
integer * n, complex * ap, complex * x, real * scale,
real * cnorm, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len, ftnlen normin_len);
extern int clatrd_(char *uplo, integer * n, integer * nb, complex * a,
integer * lda, real * e, complex * tau, complex * w,
integer * ldw, ftnlen uplo_len);
extern int clatrs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, complex * a, integer * lda, complex * x,
real * scale, real * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int clatrz_(integer * m, integer * n, integer * l, complex * a,
integer * lda, complex * tau, complex * work);
extern int clatzm_(char *side, integer * m, integer * n, complex * v,
integer * incv, complex * tau, complex * c1, complex * c2,
integer * ldc, complex * work, ftnlen side_len);
extern int clauu2_(char *uplo, integer * n, complex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int clauum_(char *uplo, integer * n, complex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int cpbcon_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, real * anorm, real * rcond, complex * work,
real * rwork, integer * info, ftnlen uplo_len);
extern int cpbequ_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, real * s, real * scond, real * amax,
integer * info, ftnlen uplo_len);
extern int cpbrfs_(char *uplo, integer * n, integer * kd, integer * nrhs,
complex * ab, integer * ldab, complex * afb,
integer * ldafb, complex * b, integer * ldb, complex * x,
integer * ldx, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen uplo_len);
extern int cpbstf_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int cpbsv_(char *uplo, integer * n, integer * kd, integer * nrhs,
complex * ab, integer * ldab, complex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int cpbsvx_(char *fact, char *uplo, integer * n, integer * kd,
integer * nrhs, complex * ab, integer * ldab,
complex * afb, integer * ldafb, char *equed, real * s,
complex * b, integer * ldb, complex * x, integer * ldx,
real * rcond, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int cpbtf2_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int cpbtrf_(char *uplo, integer * n, integer * kd, complex * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int cpbtrs_(char *uplo, integer * n, integer * kd, integer * nrhs,
complex * ab, integer * ldab, complex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int cpocon_(char *uplo, integer * n, complex * a, integer * lda,
real * anorm, real * rcond, complex * work, real * rwork,
integer * info, ftnlen uplo_len);
extern int cpoequ_(integer * n, complex * a, integer * lda, real * s,
real * scond, real * amax, integer * info);
extern int cporfs_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, complex * af, integer * ldaf, complex * b,
integer * ldb, complex * x, integer * ldx, real * ferr,
real * berr, complex * work, real * rwork, integer * info,
ftnlen uplo_len);
extern int cposv_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int cposvx_(char *fact, char *uplo, integer * n, integer * nrhs,
complex * a, integer * lda, complex * af, integer * ldaf,
char *equed, real * s, complex * b, integer * ldb,
complex * x, integer * ldx, real * rcond, real * ferr,
real * berr, complex * work, real * rwork, integer * info,
ftnlen fact_len, ftnlen uplo_len, ftnlen equed_len);
extern int cpotf2_(char *uplo, integer * n, complex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int cpotrf_(char *uplo, integer * n, complex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int cpotri_(char *uplo, integer * n, complex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int cpotrs_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int cppcon_(char *uplo, integer * n, complex * ap, real * anorm,
real * rcond, complex * work, real * rwork, integer * info,
ftnlen uplo_len);
extern int cppequ_(char *uplo, integer * n, complex * ap, real * s,
real * scond, real * amax, integer * info,
ftnlen uplo_len);
extern int cpprfs_(char *uplo, integer * n, integer * nrhs, complex * ap,
complex * afp, complex * b, integer * ldb, complex * x,
integer * ldx, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen uplo_len);
extern int cppsv_(char *uplo, integer * n, integer * nrhs, complex * ap,
complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int cppsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
complex * ap, complex * afp, char *equed, real * s,
complex * b, integer * ldb, complex * x, integer * ldx,
real * rcond, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int cpptrf_(char *uplo, integer * n, complex * ap, integer * info,
ftnlen uplo_len);
extern int cpptri_(char *uplo, integer * n, complex * ap, integer * info,
ftnlen uplo_len);
extern int cpptrs_(char *uplo, integer * n, integer * nrhs, complex * ap,
complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int cptcon_(integer * n, real * d__, complex * e, real * anorm,
real * rcond, real * rwork, integer * info);
extern int cpteqr_(char *compz, integer * n, real * d__, real * e,
complex * z__, integer * ldz, real * work, integer * info,
ftnlen compz_len);
extern int cptrfs_(char *uplo, integer * n, integer * nrhs, real * d__,
complex * e, real * df, complex * ef, complex * b,
integer * ldb, complex * x, integer * ldx, real * ferr,
real * berr, complex * work, real * rwork, integer * info,
ftnlen uplo_len);
extern int cptsv_(integer * n, integer * nrhs, real * d__, complex * e,
complex * b, integer * ldb, integer * info);
extern int cptsvx_(char *fact, integer * n, integer * nrhs, real * d__,
complex * e, real * df, complex * ef, complex * b,
integer * ldb, complex * x, integer * ldx, real * rcond,
real * ferr, real * berr, complex * work, real * rwork,
integer * info, ftnlen fact_len);
extern int cpttrf_(integer * n, real * d__, complex * e, integer * info);
extern int cpttrs_(char *uplo, integer * n, integer * nrhs, real * d__,
complex * e, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int cptts2_(integer * iuplo, integer * n, integer * nrhs, real * d__,
complex * e, complex * b, integer * ldb);
extern int crot_(integer * n, complex * cx, integer * incx, complex * cy,
integer * incy, real * c__, complex * s);
extern int cspcon_(char *uplo, integer * n, complex * ap, integer * ipiv,
real * anorm, real * rcond, complex * work, integer * info,
ftnlen uplo_len);
extern int cspmv_(char *uplo, integer * n, complex * alpha, complex * ap,
complex * x, integer * incx, complex * beta, complex * y,
integer * incy, ftnlen uplo_len);
extern int cspr_(char *uplo, integer * n, complex * alpha, complex * x,
integer * incx, complex * ap, ftnlen uplo_len);
extern int csprfs_(char *uplo, integer * n, integer * nrhs, complex * ap,
complex * afp, integer * ipiv, complex * b, integer * ldb,
complex * x, integer * ldx, real * ferr, real * berr,
complex * work, real * rwork, integer * info,
ftnlen uplo_len);
extern int cspsv_(char *uplo, integer * n, integer * nrhs, complex * ap,
integer * ipiv, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int cspsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
complex * ap, complex * afp, integer * ipiv, complex * b,
integer * ldb, complex * x, integer * ldx, real * rcond,
real * ferr, real * berr, complex * work, real * rwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int csptrf_(char *uplo, integer * n, complex * ap, integer * ipiv,
integer * info, ftnlen uplo_len);
extern int csptri_(char *uplo, integer * n, complex * ap, integer * ipiv,
complex * work, integer * info, ftnlen uplo_len);
extern int csptrs_(char *uplo, integer * n, integer * nrhs, complex * ap,
integer * ipiv, complex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int csrot_(integer * n, complex * cx, integer * incx, complex * cy,
integer * incy, real * c__, real * s);
extern int csrscl_(integer * n, real * sa, complex * sx, integer * incx);
extern int cstedc_(char *compz, integer * n, real * d__, real * e,
complex * z__, integer * ldz, complex * work,
integer * lwork, real * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen compz_len);
extern int cstegr_(char *jobz, char *range, integer * n, real * d__, real * e,
real * vl, real * vu, integer * il, integer * iu,
real * abstol, integer * m, real * w, complex * z__,
integer * ldz, integer * isuppz, real * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len);
extern int cstein_(integer * n, real * d__, real * e, integer * m, real * w,
integer * iblock, integer * isplit, complex * z__,
integer * ldz, real * work, integer * iwork,
integer * ifail, integer * info);
extern int csteqr_(char *compz, integer * n, real * d__, real * e,
complex * z__, integer * ldz, real * work, integer * info,
ftnlen compz_len);
extern int csycon_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, real * anorm, real * rcond, complex * work,
integer * info, ftnlen uplo_len);
extern int csymv_(char *uplo, integer * n, complex * alpha, complex * a,
integer * lda, complex * x, integer * incx, complex * beta,
complex * y, integer * incy, ftnlen uplo_len);
extern int csyr_(char *uplo, integer * n, complex * alpha, complex * x,
integer * incx, complex * a, integer * lda, ftnlen uplo_len);
extern int csyrfs_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, complex * af, integer * ldaf,
integer * ipiv, complex * b, integer * ldb, complex * x,
integer * ldx, real * ferr, real * berr, complex * work,
real * rwork, integer * info, ftnlen uplo_len);
extern int csysv_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, integer * ipiv, complex * b, integer * ldb,
complex * work, integer * lwork, integer * info,
ftnlen uplo_len);
extern int csysvx_(char *fact, char *uplo, integer * n, integer * nrhs,
complex * a, integer * lda, complex * af, integer * ldaf,
integer * ipiv, complex * b, integer * ldb, complex * x,
integer * ldx, real * rcond, real * ferr, real * berr,
complex * work, integer * lwork, real * rwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int csytf2_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int csytrf_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, complex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int csytri_(char *uplo, integer * n, complex * a, integer * lda,
integer * ipiv, complex * work, integer * info,
ftnlen uplo_len);
extern int csytrs_(char *uplo, integer * n, integer * nrhs, complex * a,
integer * lda, integer * ipiv, complex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int ctbcon_(char *norm, char *uplo, char *diag, integer * n,
integer * kd, complex * ab, integer * ldab, real * rcond,
complex * work, real * rwork, integer * info,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int ctbrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, complex * ab, integer * ldab,
complex * b, integer * ldb, complex * x, integer * ldx,
real * ferr, real * berr, complex * work, real * rwork,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int ctbtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, complex * ab, integer * ldab,
complex * b, integer * ldb, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int ctgevc_(char *side, char *howmny, logical * select, integer * n,
complex * a, integer * lda, complex * b, integer * ldb,
complex * vl, integer * ldvl, complex * vr, integer * ldvr,
integer * mm, integer * m, complex * work, real * rwork,
integer * info, ftnlen side_len, ftnlen howmny_len);
extern int ctgex2_(logical * wantq, logical * wantz, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, complex * q,
integer * ldq, complex * z__, integer * ldz, integer * j1,
integer * info);
extern int ctgexc_(logical * wantq, logical * wantz, integer * n, complex * a,
integer * lda, complex * b, integer * ldb, complex * q,
integer * ldq, complex * z__, integer * ldz,
integer * ifst, integer * ilst, integer * info);
extern int ctgsen_(integer * ijob, logical * wantq, logical * wantz,
logical * select, integer * n, complex * a, integer * lda,
complex * b, integer * ldb, complex * alpha,
complex * beta, complex * q, integer * ldq, complex * z__,
integer * ldz, integer * m, real * pl, real * pr,
real * dif, complex * work, integer * lwork,
integer * iwork, integer * liwork, integer * info);
extern int ctgsja_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, integer * k, integer * l,
complex * a, integer * lda, complex * b, integer * ldb,
real * tola, real * tolb, real * alpha, real * beta,
complex * u, integer * ldu, complex * v, integer * ldv,
complex * q, integer * ldq, complex * work,
integer * ncycle, integer * info, ftnlen jobu_len,
ftnlen jobv_len, ftnlen jobq_len);
extern int ctgsna_(char *job, char *howmny, logical * select, integer * n,
complex * a, integer * lda, complex * b, integer * ldb,
complex * vl, integer * ldvl, complex * vr, integer * ldvr,
real * s, real * dif, integer * mm, integer * m,
complex * work, integer * lwork, integer * iwork,
integer * info, ftnlen job_len, ftnlen howmny_len);
extern int ctgsy2_(char *trans, integer * ijob, integer * m, integer * n,
complex * a, integer * lda, complex * b, integer * ldb,
complex * c__, integer * ldc, complex * d__, integer * ldd,
complex * e, integer * lde, complex * f, integer * ldf,
real * scale, real * rdsum, real * rdscal, integer * info,
ftnlen trans_len);
extern int ctgsyl_(char *trans, integer * ijob, integer * m, integer * n,
complex * a, integer * lda, complex * b, integer * ldb,
complex * c__, integer * ldc, complex * d__, integer * ldd,
complex * e, integer * lde, complex * f, integer * ldf,
real * scale, real * dif, complex * work, integer * lwork,
integer * iwork, integer * info, ftnlen trans_len);
extern int ctpcon_(char *norm, char *uplo, char *diag, integer * n,
complex * ap, real * rcond, complex * work, real * rwork,
integer * info, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern int ctprfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, complex * ap, complex * b, integer * ldb,
complex * x, integer * ldx, real * ferr, real * berr,
complex * work, real * rwork, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int ctptri_(char *uplo, char *diag, integer * n, complex * ap,
integer * info, ftnlen uplo_len, ftnlen diag_len);
extern int ctptrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, complex * ap, complex * b, integer * ldb,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int ctrcon_(char *norm, char *uplo, char *diag, integer * n,
complex * a, integer * lda, real * rcond, complex * work,
real * rwork, integer * info, ftnlen norm_len,
ftnlen uplo_len, ftnlen diag_len);
extern int ctrevc_(char *side, char *howmny, logical * select, integer * n,
complex * t, integer * ldt, complex * vl, integer * ldvl,
complex * vr, integer * ldvr, integer * mm, integer * m,
complex * work, real * rwork, integer * info,
ftnlen side_len, ftnlen howmny_len);
extern int ctrexc_(char *compq, integer * n, complex * t, integer * ldt,
complex * q, integer * ldq, integer * ifst, integer * ilst,
integer * info, ftnlen compq_len);
extern int ctrrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, complex * a, integer * lda, complex * b,
integer * ldb, complex * x, integer * ldx, real * ferr,
real * berr, complex * work, real * rwork, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int ctrsen_(char *job, char *compq, logical * select, integer * n,
complex * t, integer * ldt, complex * q, integer * ldq,
complex * w, integer * m, real * s, real * sep,
complex * work, integer * lwork, integer * info,
ftnlen job_len, ftnlen compq_len);
extern int ctrsna_(char *job, char *howmny, logical * select, integer * n,
complex * t, integer * ldt, complex * vl, integer * ldvl,
complex * vr, integer * ldvr, real * s, real * sep,
integer * mm, integer * m, complex * work,
integer * ldwork, real * rwork, integer * info,
ftnlen job_len, ftnlen howmny_len);
extern int ctrsyl_(char *trana, char *tranb, integer * isgn, integer * m,
integer * n, complex * a, integer * lda, complex * b,
integer * ldb, complex * c__, integer * ldc, real * scale,
integer * info, ftnlen trana_len, ftnlen tranb_len);
extern int ctrti2_(char *uplo, char *diag, integer * n, complex * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int ctrtri_(char *uplo, char *diag, integer * n, complex * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int ctrtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, complex * a, integer * lda, complex * b,
integer * ldb, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int ctzrqf_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, integer * info);
extern int ctzrzf_(integer * m, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * lwork,
integer * info);
extern int cung2l_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * info);
extern int cung2r_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * info);
extern int cungbr_(char *vect, integer * m, integer * n, integer * k,
complex * a, integer * lda, complex * tau, complex * work,
integer * lwork, integer * info, ftnlen vect_len);
extern int cunghr_(integer * n, integer * ilo, integer * ihi, complex * a,
integer * lda, complex * tau, complex * work,
integer * lwork, integer * info);
extern int cungl2_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * info);
extern int cunglq_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * lwork, integer * info);
extern int cungql_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * lwork, integer * info);
extern int cungqr_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * lwork, integer * info);
extern int cungr2_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * info);
extern int cungrq_(integer * m, integer * n, integer * k, complex * a,
integer * lda, complex * tau, complex * work,
integer * lwork, integer * info);
extern int cungtr_(char *uplo, integer * n, complex * a, integer * lda,
complex * tau, complex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int cunm2l_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int cunm2r_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int cunmbr_(char *vect, char *side, char *trans, integer * m,
integer * n, integer * k, complex * a, integer * lda,
complex * tau, complex * c__, integer * ldc,
complex * work, integer * lwork, integer * info,
ftnlen vect_len, ftnlen side_len, ftnlen trans_len);
extern int cunmhr_(char *side, char *trans, integer * m, integer * n,
integer * ilo, integer * ihi, complex * a, integer * lda,
complex * tau, complex * c__, integer * ldc,
complex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int cunml2_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int cunmlq_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int cunmql_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int cunmqr_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int cunmr2_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int cunmr3_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, complex * a, integer * lda,
complex * tau, complex * c__, integer * ldc,
complex * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int cunmrq_(char *side, char *trans, integer * m, integer * n,
integer * k, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int cunmrz_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, complex * a, integer * lda,
complex * tau, complex * c__, integer * ldc,
complex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int cunmtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, complex * a, integer * lda, complex * tau,
complex * c__, integer * ldc, complex * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen uplo_len, ftnlen trans_len);
extern int cupgtr_(char *uplo, integer * n, complex * ap, complex * tau,
complex * q, integer * ldq, complex * work, integer * info,
ftnlen uplo_len);
extern int cupmtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, complex * ap, complex * tau, complex * c__,
integer * ldc, complex * work, integer * info,
ftnlen side_len, ftnlen uplo_len, ftnlen trans_len);
extern int dbdsdc_(char *uplo, char *compq, integer * n, doublereal * d__,
doublereal * e, doublereal * u, integer * ldu,
doublereal * vt, integer * ldvt, doublereal * q,
integer * iq, doublereal * work, integer * iwork,
integer * info, ftnlen uplo_len, ftnlen compq_len);
extern int dbdsqr_(char *uplo, integer * n, integer * ncvt, integer * nru,
integer * ncc, doublereal * d__, doublereal * e,
doublereal * vt, integer * ldvt, doublereal * u,
integer * ldu, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen uplo_len);
extern int ddisna_(char *job, integer * m, integer * n, doublereal * d__,
doublereal * sep, integer * info, ftnlen job_len);
extern int dgbbrd_(char *vect, integer * m, integer * n, integer * ncc,
integer * kl, integer * ku, doublereal * ab,
integer * ldab, doublereal * d__, doublereal * e,
doublereal * q, integer * ldq, doublereal * pt,
integer * ldpt, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen vect_len);
extern int dgbcon_(char *norm, integer * n, integer * kl, integer * ku,
doublereal * ab, integer * ldab, integer * ipiv,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen norm_len);
extern int dgbequ_(integer * m, integer * n, integer * kl, integer * ku,
doublereal * ab, integer * ldab, doublereal * r__,
doublereal * c__, doublereal * rowcnd, doublereal * colcnd,
doublereal * amax, integer * info);
extern int dgbrfs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, doublereal * ab, integer * ldab,
doublereal * afb, integer * ldafb, integer * ipiv,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublereal * work, integer * iwork, integer * info,
ftnlen trans_len);
extern int dgbsv_(integer * n, integer * kl, integer * ku, integer * nrhs,
doublereal * ab, integer * ldab, integer * ipiv,
doublereal * b, integer * ldb, integer * info);
extern int dgbsvx_(char *fact, char *trans, integer * n, integer * kl,
integer * ku, integer * nrhs, doublereal * ab,
integer * ldab, doublereal * afb, integer * ldafb,
integer * ipiv, char *equed, doublereal * r__,
doublereal * c__, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * rcond,
doublereal * ferr, doublereal * berr, doublereal * work,
integer * iwork, integer * info, ftnlen fact_len,
ftnlen trans_len, ftnlen equed_len);
extern int dgbtf2_(integer * m, integer * n, integer * kl, integer * ku,
doublereal * ab, integer * ldab, integer * ipiv,
integer * info);
extern int dgbtrf_(integer * m, integer * n, integer * kl, integer * ku,
doublereal * ab, integer * ldab, integer * ipiv,
integer * info);
extern int dgbtrs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, doublereal * ab, integer * ldab,
integer * ipiv, doublereal * b, integer * ldb,
integer * info, ftnlen trans_len);
extern int dgebak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, doublereal * scale, integer * m,
doublereal * v, integer * ldv, integer * info,
ftnlen job_len, ftnlen side_len);
extern int dgebal_(char *job, integer * n, doublereal * a, integer * lda,
integer * ilo, integer * ihi, doublereal * scale,
integer * info, ftnlen job_len);
extern int dgebd2_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * d__, doublereal * e, doublereal * tauq,
doublereal * taup, doublereal * work, integer * info);
extern int dgebrd_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * d__, doublereal * e, doublereal * tauq,
doublereal * taup, doublereal * work, integer * lwork,
integer * info);
extern int dgecon_(char *norm, integer * n, doublereal * a, integer * lda,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen norm_len);
extern int dgeequ_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * r__, doublereal * c__, doublereal * rowcnd,
doublereal * colcnd, doublereal * amax, integer * info);
extern int dgees_(char *jobvs, char *sort, L_fp select, integer * n,
doublereal * a, integer * lda, integer * sdim,
doublereal * wr, doublereal * wi, doublereal * vs,
integer * ldvs, doublereal * work, integer * lwork,
logical * bwork, integer * info, ftnlen jobvs_len,
ftnlen sort_len);
extern int dgeesx_(char *jobvs, char *sort, L_fp select, char *sense,
integer * n, doublereal * a, integer * lda, integer * sdim,
doublereal * wr, doublereal * wi, doublereal * vs,
integer * ldvs, doublereal * rconde, doublereal * rcondv,
doublereal * work, integer * lwork, integer * iwork,
integer * liwork, logical * bwork, integer * info,
ftnlen jobvs_len, ftnlen sort_len, ftnlen sense_len);
extern int dgeev_(char *jobvl, char *jobvr, integer * n, doublereal * a,
integer * lda, doublereal * wr, doublereal * wi,
doublereal * vl, integer * ldvl, doublereal * vr,
integer * ldvr, doublereal * work, integer * lwork,
integer * info, ftnlen jobvl_len, ftnlen jobvr_len);
extern int dgeevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, doublereal * a, integer * lda,
doublereal * wr, doublereal * wi, doublereal * vl,
integer * ldvl, doublereal * vr, integer * ldvr,
integer * ilo, integer * ihi, doublereal * scale,
doublereal * abnrm, doublereal * rconde,
doublereal * rcondv, doublereal * work, integer * lwork,
integer * iwork, integer * info, ftnlen balanc_len,
ftnlen jobvl_len, ftnlen jobvr_len, ftnlen sense_len);
extern int dgegs_(char *jobvsl, char *jobvsr, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * alphar, doublereal * alphai, doublereal * beta,
doublereal * vsl, integer * ldvsl, doublereal * vsr,
integer * ldvsr, doublereal * work, integer * lwork,
integer * info, ftnlen jobvsl_len, ftnlen jobvsr_len);
extern int dgegv_(char *jobvl, char *jobvr, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * alphar, doublereal * alphai, doublereal * beta,
doublereal * vl, integer * ldvl, doublereal * vr,
integer * ldvr, doublereal * work, integer * lwork,
integer * info, ftnlen jobvl_len, ftnlen jobvr_len);
extern int dgehd2_(integer * n, integer * ilo, integer * ihi, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * info);
extern int dgehrd_(integer * n, integer * ilo, integer * ihi, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dgelq2_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * info);
extern int dgelqf_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * lwork,
integer * info);
extern int dgels_(char *trans, integer * m, integer * n, integer * nrhs,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * work, integer * lwork,
integer * info, ftnlen trans_len);
extern int dgelsd_(integer * m, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * s, doublereal * rcond, integer * rank,
doublereal * work, integer * lwork, integer * iwork,
integer * info);
extern int dgelss_(integer * m, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * s, doublereal * rcond, integer * rank,
doublereal * work, integer * lwork, integer * info);
extern int dgelsx_(integer * m, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
integer * jpvt, doublereal * rcond, integer * rank,
doublereal * work, integer * info);
extern int dgelsy_(integer * m, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
integer * jpvt, doublereal * rcond, integer * rank,
doublereal * work, integer * lwork, integer * info);
extern int dgeql2_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * info);
extern int dgeqlf_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * lwork,
integer * info);
extern int dgeqp3_(integer * m, integer * n, doublereal * a, integer * lda,
integer * jpvt, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dgeqpf_(integer * m, integer * n, doublereal * a, integer * lda,
integer * jpvt, doublereal * tau, doublereal * work,
integer * info);
extern int dgeqr2_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * info);
extern int dgeqrf_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * lwork,
integer * info);
extern int dgerfs_(char *trans, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * af, integer * ldaf,
integer * ipiv, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen trans_len);
extern int dgerq2_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * info);
extern int dgerqf_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * lwork,
integer * info);
extern int dgesc2_(integer * n, doublereal * a, integer * lda,
doublereal * rhs, integer * ipiv, integer * jpiv,
doublereal * scale);
extern int dgesdd_(char *jobz, integer * m, integer * n, doublereal * a,
integer * lda, doublereal * s, doublereal * u,
integer * ldu, doublereal * vt, integer * ldvt,
doublereal * work, integer * lwork, integer * iwork,
integer * info, ftnlen jobz_len);
extern int dgesv_(integer * n, integer * nrhs, doublereal * a, integer * lda,
integer * ipiv, doublereal * b, integer * ldb,
integer * info);
extern int dgesvd_(char *jobu, char *jobvt, integer * m, integer * n,
doublereal * a, integer * lda, doublereal * s,
doublereal * u, integer * ldu, doublereal * vt,
integer * ldvt, doublereal * work, integer * lwork,
integer * info, ftnlen jobu_len, ftnlen jobvt_len);
extern int dgesvx_(char *fact, char *trans, integer * n, integer * nrhs,
doublereal * a, integer * lda, doublereal * af,
integer * ldaf, integer * ipiv, char *equed,
doublereal * r__, doublereal * c__, doublereal * b,
integer * ldb, doublereal * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublereal * work, integer * iwork, integer * info,
ftnlen fact_len, ftnlen trans_len, ftnlen equed_len);
extern int dgetc2_(integer * n, doublereal * a, integer * lda, integer * ipiv,
integer * jpiv, integer * info);
extern int dgetf2_(integer * m, integer * n, doublereal * a, integer * lda,
integer * ipiv, integer * info);
extern int dgetrf_(integer * m, integer * n, doublereal * a, integer * lda,
integer * ipiv, integer * info);
extern int dgetri_(integer * n, doublereal * a, integer * lda, integer * ipiv,
doublereal * work, integer * lwork, integer * info);
extern int dgetrs_(char *trans, integer * n, integer * nrhs, doublereal * a,
integer * lda, integer * ipiv, doublereal * b,
integer * ldb, integer * info, ftnlen trans_len);
extern int dggbak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, doublereal * lscale, doublereal * rscale,
integer * m, doublereal * v, integer * ldv, integer * info,
ftnlen job_len, ftnlen side_len);
extern int dggbal_(char *job, integer * n, doublereal * a, integer * lda,
doublereal * b, integer * ldb, integer * ilo,
integer * ihi, doublereal * lscale, doublereal * rscale,
doublereal * work, integer * info, ftnlen job_len);
extern int dgges_(char *jobvsl, char *jobvsr, char *sort, L_fp delctg,
integer * n, doublereal * a, integer * lda, doublereal * b,
integer * ldb, integer * sdim, doublereal * alphar,
doublereal * alphai, doublereal * beta, doublereal * vsl,
integer * ldvsl, doublereal * vsr, integer * ldvsr,
doublereal * work, integer * lwork, logical * bwork,
integer * info, ftnlen jobvsl_len, ftnlen jobvsr_len,
ftnlen sort_len);
extern int dggesx_(char *jobvsl, char *jobvsr, char *sort, L_fp delctg,
char *sense, integer * n, doublereal * a, integer * lda,
doublereal * b, integer * ldb, integer * sdim,
doublereal * alphar, doublereal * alphai,
doublereal * beta, doublereal * vsl, integer * ldvsl,
doublereal * vsr, integer * ldvsr, doublereal * rconde,
doublereal * rcondv, doublereal * work, integer * lwork,
integer * iwork, integer * liwork, logical * bwork,
integer * info, ftnlen jobvsl_len, ftnlen jobvsr_len,
ftnlen sort_len, ftnlen sense_len);
extern int dggev_(char *jobvl, char *jobvr, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * alphar, doublereal * alphai, doublereal * beta,
doublereal * vl, integer * ldvl, doublereal * vr,
integer * ldvr, doublereal * work, integer * lwork,
integer * info, ftnlen jobvl_len, ftnlen jobvr_len);
extern int dggevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * alphar, doublereal * alphai,
doublereal * beta, doublereal * vl, integer * ldvl,
doublereal * vr, integer * ldvr, integer * ilo,
integer * ihi, doublereal * lscale, doublereal * rscale,
doublereal * abnrm, doublereal * bbnrm,
doublereal * rconde, doublereal * rcondv,
doublereal * work, integer * lwork, integer * iwork,
logical * bwork, integer * info, ftnlen balanc_len,
ftnlen jobvl_len, ftnlen jobvr_len, ftnlen sense_len);
extern int dggglm_(integer * n, integer * m, integer * p, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * d__, doublereal * x, doublereal * y,
doublereal * work, integer * lwork, integer * info);
extern int dgghrd_(char *compq, char *compz, integer * n, integer * ilo,
integer * ihi, doublereal * a, integer * lda,
doublereal * b, integer * ldb, doublereal * q,
integer * ldq, doublereal * z__, integer * ldz,
integer * info, ftnlen compq_len, ftnlen compz_len);
extern int dgglse_(integer * m, integer * n, integer * p, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * c__, doublereal * d__, doublereal * x,
doublereal * work, integer * lwork, integer * info);
extern int dggqrf_(integer * n, integer * m, integer * p, doublereal * a,
integer * lda, doublereal * taua, doublereal * b,
integer * ldb, doublereal * taub, doublereal * work,
integer * lwork, integer * info);
extern int dggrqf_(integer * m, integer * p, integer * n, doublereal * a,
integer * lda, doublereal * taua, doublereal * b,
integer * ldb, doublereal * taub, doublereal * work,
integer * lwork, integer * info);
extern int dggsvd_(char *jobu, char *jobv, char *jobq, integer * m,
integer * n, integer * p, integer * k, integer * l,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * alpha, doublereal * beta,
doublereal * u, integer * ldu, doublereal * v,
integer * ldv, doublereal * q, integer * ldq,
doublereal * work, integer * iwork, integer * info,
ftnlen jobu_len, ftnlen jobv_len, ftnlen jobq_len);
extern int dggsvp_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, doublereal * a, integer * lda,
doublereal * b, integer * ldb, doublereal * tola,
doublereal * tolb, integer * k, integer * l,
doublereal * u, integer * ldu, doublereal * v,
integer * ldv, doublereal * q, integer * ldq,
integer * iwork, doublereal * tau, doublereal * work,
integer * info, ftnlen jobu_len, ftnlen jobv_len,
ftnlen jobq_len);
extern int dgtcon_(char *norm, integer * n, doublereal * dl, doublereal * d__,
doublereal * du, doublereal * du2, integer * ipiv,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen norm_len);
extern int dgtrfs_(char *trans, integer * n, integer * nrhs, doublereal * dl,
doublereal * d__, doublereal * du, doublereal * dlf,
doublereal * df, doublereal * duf, doublereal * du2,
integer * ipiv, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen trans_len);
extern int dgtsv_(integer * n, integer * nrhs, doublereal * dl,
doublereal * d__, doublereal * du, doublereal * b,
integer * ldb, integer * info);
extern int dgtsvx_(char *fact, char *trans, integer * n, integer * nrhs,
doublereal * dl, doublereal * d__, doublereal * du,
doublereal * dlf, doublereal * df, doublereal * duf,
doublereal * du2, integer * ipiv, doublereal * b,
integer * ldb, doublereal * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublereal * work, integer * iwork, integer * info,
ftnlen fact_len, ftnlen trans_len);
extern int dgttrf_(integer * n, doublereal * dl, doublereal * d__,
doublereal * du, doublereal * du2, integer * ipiv,
integer * info);
extern int dgttrs_(char *trans, integer * n, integer * nrhs, doublereal * dl,
doublereal * d__, doublereal * du, doublereal * du2,
integer * ipiv, doublereal * b, integer * ldb,
integer * info, ftnlen trans_len);
extern int dgtts2_(integer * itrans, integer * n, integer * nrhs,
doublereal * dl, doublereal * d__, doublereal * du,
doublereal * du2, integer * ipiv, doublereal * b,
integer * ldb);
extern int dhgeqz_(char *job, char *compq, char *compz, integer * n,
integer * ilo, integer * ihi, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * alphar, doublereal * alphai,
doublereal * beta, doublereal * q, integer * ldq,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * info, ftnlen job_len,
ftnlen compq_len, ftnlen compz_len);
extern int dhsein_(char *side, char *eigsrc, char *initv, logical * select,
integer * n, doublereal * h__, integer * ldh,
doublereal * wr, doublereal * wi, doublereal * vl,
integer * ldvl, doublereal * vr, integer * ldvr,
integer * mm, integer * m, doublereal * work,
integer * ifaill, integer * ifailr, integer * info,
ftnlen side_len, ftnlen eigsrc_len, ftnlen initv_len);
extern int dhseqr_(char *job, char *compz, integer * n, integer * ilo,
integer * ihi, doublereal * h__, integer * ldh,
doublereal * wr, doublereal * wi, doublereal * z__,
integer * ldz, doublereal * work, integer * lwork,
integer * info, ftnlen job_len, ftnlen compz_len);
extern int dlabad_(doublereal * small, doublereal * large);
extern int dlabrd_(integer * m, integer * n, integer * nb, doublereal * a,
integer * lda, doublereal * d__, doublereal * e,
doublereal * tauq, doublereal * taup, doublereal * x,
integer * ldx, doublereal * y, integer * ldy);
extern int dlacon_(integer * n, doublereal * v, doublereal * x,
integer * isgn, doublereal * est, integer * kase);
extern int dlacpy_(char *uplo, integer * m, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
ftnlen uplo_len);
extern int dladiv_(doublereal * a, doublereal * b, doublereal * c__,
doublereal * d__, doublereal * p, doublereal * q);
extern int dlae2_(doublereal * a, doublereal * b, doublereal * c__,
doublereal * rt1, doublereal * rt2);
extern int dlaebz_(integer * ijob, integer * nitmax, integer * n,
integer * mmax, integer * minp, integer * nbmin,
doublereal * abstol, doublereal * reltol,
doublereal * pivmin, doublereal * d__, doublereal * e,
doublereal * e2, integer * nval, doublereal * ab,
doublereal * c__, integer * mout, integer * nab,
doublereal * work, integer * iwork, integer * info);
extern int dlaed0_(integer * icompq, integer * qsiz, integer * n,
doublereal * d__, doublereal * e, doublereal * q,
integer * ldq, doublereal * qstore, integer * ldqs,
doublereal * work, integer * iwork, integer * info);
extern int dlaed1_(integer * n, doublereal * d__, doublereal * q,
integer * ldq, integer * indxq, doublereal * rho,
integer * cutpnt, doublereal * work, integer * iwork,
integer * info);
extern int dlaed2_(integer * k, integer * n, integer * n1, doublereal * d__,
doublereal * q, integer * ldq, integer * indxq,
doublereal * rho, doublereal * z__, doublereal * dlamda,
doublereal * w, doublereal * q2, integer * indx,
integer * indxc, integer * indxp, integer * coltyp,
integer * info);
extern int dlaed3_(integer * k, integer * n, integer * n1, doublereal * d__,
doublereal * q, integer * ldq, doublereal * rho,
doublereal * dlamda, doublereal * q2, integer * indx,
integer * ctot, doublereal * w, doublereal * s,
integer * info);
extern int dlaed4_(integer * n, integer * i__, doublereal * d__,
doublereal * z__, doublereal * delta, doublereal * rho,
doublereal * dlam, integer * info);
extern int dlaed5_(integer * i__, doublereal * d__, doublereal * z__,
doublereal * delta, doublereal * rho, doublereal * dlam);
extern int dlaed6_(integer * kniter, logical * orgati, doublereal * rho,
doublereal * d__, doublereal * z__, doublereal * finit,
doublereal * tau, integer * info);
extern int dlaed7_(integer * icompq, integer * n, integer * qsiz,
integer * tlvls, integer * curlvl, integer * curpbm,
doublereal * d__, doublereal * q, integer * ldq,
integer * indxq, doublereal * rho, integer * cutpnt,
doublereal * qstore, integer * qptr, integer * prmptr,
integer * perm, integer * givptr, integer * givcol,
doublereal * givnum, doublereal * work, integer * iwork,
integer * info);
extern int dlaed8_(integer * icompq, integer * k, integer * n, integer * qsiz,
doublereal * d__, doublereal * q, integer * ldq,
integer * indxq, doublereal * rho, integer * cutpnt,
doublereal * z__, doublereal * dlamda, doublereal * q2,
integer * ldq2, doublereal * w, integer * perm,
integer * givptr, integer * givcol, doublereal * givnum,
integer * indxp, integer * indx, integer * info);
extern int dlaed9_(integer * k, integer * kstart, integer * kstop,
integer * n, doublereal * d__, doublereal * q,
integer * ldq, doublereal * rho, doublereal * dlamda,
doublereal * w, doublereal * s, integer * lds,
integer * info);
extern int dlaeda_(integer * n, integer * tlvls, integer * curlvl,
integer * curpbm, integer * prmptr, integer * perm,
integer * givptr, integer * givcol, doublereal * givnum,
doublereal * q, integer * qptr, doublereal * z__,
doublereal * ztemp, integer * info);
extern int dlaein_(logical * rightv, logical * noinit, integer * n,
doublereal * h__, integer * ldh, doublereal * wr,
doublereal * wi, doublereal * vr, doublereal * vi,
doublereal * b, integer * ldb, doublereal * work,
doublereal * eps3, doublereal * smlnum,
doublereal * bignum, integer * info);
extern int dlaev2_(doublereal * a, doublereal * b, doublereal * c__,
doublereal * rt1, doublereal * rt2, doublereal * cs1,
doublereal * sn1);
extern int dlaexc_(logical * wantq, integer * n, doublereal * t,
integer * ldt, doublereal * q, integer * ldq, integer * j1,
integer * n1, integer * n2, doublereal * work,
integer * info);
extern int dlag2_(doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * safmin, doublereal * scale1,
doublereal * scale2, doublereal * wr1, doublereal * wr2,
doublereal * wi);
extern int dlags2_(logical * upper, doublereal * a1, doublereal * a2,
doublereal * a3, doublereal * b1, doublereal * b2,
doublereal * b3, doublereal * csu, doublereal * snu,
doublereal * csv, doublereal * snv, doublereal * csq,
doublereal * snq);
extern int dlagtf_(integer * n, doublereal * a, doublereal * lambda,
doublereal * b, doublereal * c__, doublereal * tol,
doublereal * d__, integer * in, integer * info);
extern int dlagtm_(char *trans, integer * n, integer * nrhs,
doublereal * alpha, doublereal * dl, doublereal * d__,
doublereal * du, doublereal * x, integer * ldx,
doublereal * beta, doublereal * b, integer * ldb,
ftnlen trans_len);
extern int dlagts_(integer * job, integer * n, doublereal * a, doublereal * b,
doublereal * c__, doublereal * d__, integer * in,
doublereal * y, doublereal * tol, integer * info);
extern int dlagv2_(doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * alphar, doublereal * alphai,
doublereal * beta, doublereal * csl, doublereal * snl,
doublereal * csr, doublereal * snr);
extern int dlahqr_(logical * wantt, logical * wantz, integer * n,
integer * ilo, integer * ihi, doublereal * h__,
integer * ldh, doublereal * wr, doublereal * wi,
integer * iloz, integer * ihiz, doublereal * z__,
integer * ldz, integer * info);
extern int dlahrd_(integer * n, integer * k, integer * nb, doublereal * a,
integer * lda, doublereal * tau, doublereal * t,
integer * ldt, doublereal * y, integer * ldy);
extern int dlaic1_(integer * job, integer * j, doublereal * x,
doublereal * sest, doublereal * w, doublereal * gamma,
doublereal * sestpr, doublereal * s, doublereal * c__);
extern int dlaln2_(logical * ltrans, integer * na, integer * nw,
doublereal * smin, doublereal * ca, doublereal * a,
integer * lda, doublereal * d1, doublereal * d2,
doublereal * b, integer * ldb, doublereal * wr,
doublereal * wi, doublereal * x, integer * ldx,
doublereal * scale, doublereal * xnorm, integer * info);
extern int dlals0_(integer * icompq, integer * nl, integer * nr,
integer * sqre, integer * nrhs, doublereal * b,
integer * ldb, doublereal * bx, integer * ldbx,
integer * perm, integer * givptr, integer * givcol,
integer * ldgcol, doublereal * givnum, integer * ldgnum,
doublereal * poles, doublereal * difl, doublereal * difr,
doublereal * z__, integer * k, doublereal * c__,
doublereal * s, doublereal * work, integer * info);
extern int dlalsa_(integer * icompq, integer * smlsiz, integer * n,
integer * nrhs, doublereal * b, integer * ldb,
doublereal * bx, integer * ldbx, doublereal * u,
integer * ldu, doublereal * vt, integer * k,
doublereal * difl, doublereal * difr, doublereal * z__,
doublereal * poles, integer * givptr, integer * givcol,
integer * ldgcol, integer * perm, doublereal * givnum,
doublereal * c__, doublereal * s, doublereal * work,
integer * iwork, integer * info);
extern int dlalsd_(char *uplo, integer * smlsiz, integer * n, integer * nrhs,
doublereal * d__, doublereal * e, doublereal * b,
integer * ldb, doublereal * rcond, integer * rank,
doublereal * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern doublereal dlamch_(char *cmach, ftnlen cmach_len);
extern int dlamc1_(integer * beta, integer * t, logical * rnd,
logical * ieee1);
extern int dlamc2_(integer * beta, integer * t, logical * rnd,
doublereal * eps, integer * emin, doublereal * rmin,
integer * emax, doublereal * rmax);
extern doublereal dlamc3_(doublereal * a, doublereal * b);
extern int dlamc4_(integer * emin, doublereal * start, integer * base);
extern int dlamc5_(integer * beta, integer * p, integer * emin,
logical * ieee, integer * emax, doublereal * rmax);
extern int dlamrg_(integer * n1, integer * n2, doublereal * a,
integer * dtrd1, integer * dtrd2, integer * index);
extern doublereal dlangb_(char *norm, integer * n, integer * kl, integer * ku,
doublereal * ab, integer * ldab, doublereal * work,
ftnlen norm_len);
extern doublereal dlange_(char *norm, integer * m, integer * n,
doublereal * a, integer * lda, doublereal * work,
ftnlen norm_len);
extern doublereal dlangt_(char *norm, integer * n, doublereal * dl,
doublereal * d__, doublereal * du, ftnlen norm_len);
extern doublereal dlanhs_(char *norm, integer * n, doublereal * a,
integer * lda, doublereal * work, ftnlen norm_len);
extern doublereal dlansb_(char *norm, char *uplo, integer * n, integer * k,
doublereal * ab, integer * ldab, doublereal * work,
ftnlen norm_len, ftnlen uplo_len);
extern doublereal dlansp_(char *norm, char *uplo, integer * n,
doublereal * ap, doublereal * work, ftnlen norm_len,
ftnlen uplo_len);
extern doublereal dlanst_(char *norm, integer * n, doublereal * d__,
doublereal * e, ftnlen norm_len);
extern doublereal dlansy_(char *norm, char *uplo, integer * n, doublereal * a,
integer * lda, doublereal * work, ftnlen norm_len,
ftnlen uplo_len);
extern doublereal dlantb_(char *norm, char *uplo, char *diag, integer * n,
integer * k, doublereal * ab, integer * ldab,
doublereal * work, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern doublereal dlantp_(char *norm, char *uplo, char *diag, integer * n,
doublereal * ap, doublereal * work, ftnlen norm_len,
ftnlen uplo_len, ftnlen diag_len);
extern doublereal dlantr_(char *norm, char *uplo, char *diag, integer * m,
integer * n, doublereal * a, integer * lda,
doublereal * work, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern int dlanv2_(doublereal * a, doublereal * b, doublereal * c__,
doublereal * d__, doublereal * rt1r, doublereal * rt1i,
doublereal * rt2r, doublereal * rt2i, doublereal * cs,
doublereal * sn);
extern int dlapll_(integer * n, doublereal * x, integer * incx,
doublereal * y, integer * incy, doublereal * ssmin);
extern int dlapmt_(logical * forwrd, integer * m, integer * n, doublereal * x,
integer * ldx, integer * k);
extern doublereal dlapy2_(doublereal * x, doublereal * y);
extern doublereal dlapy3_(doublereal * x, doublereal * y, doublereal * z__);
extern int dlaqgb_(integer * m, integer * n, integer * kl, integer * ku,
doublereal * ab, integer * ldab, doublereal * r__,
doublereal * c__, doublereal * rowcnd, doublereal * colcnd,
doublereal * amax, char *equed, ftnlen equed_len);
extern int dlaqge_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * r__, doublereal * c__, doublereal * rowcnd,
doublereal * colcnd, doublereal * amax, char *equed,
ftnlen equed_len);
extern int dlaqp2_(integer * m, integer * n, integer * offset, doublereal * a,
integer * lda, integer * jpvt, doublereal * tau,
doublereal * vn1, doublereal * vn2, doublereal * work);
extern int dlaqps_(integer * m, integer * n, integer * offset, integer * nb,
integer * kb, doublereal * a, integer * lda,
integer * jpvt, doublereal * tau, doublereal * vn1,
doublereal * vn2, doublereal * auxv, doublereal * f,
integer * ldf);
extern int dlaqsb_(char *uplo, integer * n, integer * kd, doublereal * ab,
integer * ldab, doublereal * s, doublereal * scond,
doublereal * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int dlaqsp_(char *uplo, integer * n, doublereal * ap, doublereal * s,
doublereal * scond, doublereal * amax, char *equed,
ftnlen uplo_len, ftnlen equed_len);
extern int dlaqsy_(char *uplo, integer * n, doublereal * a, integer * lda,
doublereal * s, doublereal * scond, doublereal * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int dlaqtr_(logical * ltran, logical * lreal, integer * n,
doublereal * t, integer * ldt, doublereal * b,
doublereal * w, doublereal * scale, doublereal * x,
doublereal * work, integer * info);
extern int dlar1v_(integer * n, integer * b1, integer * bn,
doublereal * sigma, doublereal * d__, doublereal * l,
doublereal * ld, doublereal * lld, doublereal * gersch,
doublereal * z__, doublereal * ztz, doublereal * mingma,
integer * r__, integer * isuppz, doublereal * work);
extern int dlar2v_(integer * n, doublereal * x, doublereal * y,
doublereal * z__, integer * incx, doublereal * c__,
doublereal * s, integer * incc);
extern int dlarf_(char *side, integer * m, integer * n, doublereal * v,
integer * incv, doublereal * tau, doublereal * c__,
integer * ldc, doublereal * work, ftnlen side_len);
extern int dlarfb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, doublereal * v,
integer * ldv, doublereal * t, integer * ldt,
doublereal * c__, integer * ldc, doublereal * work,
integer * ldwork, ftnlen side_len, ftnlen trans_len,
ftnlen direct_len, ftnlen storev_len);
extern int dlarfg_(integer * n, doublereal * alpha, doublereal * x,
integer * incx, doublereal * tau);
extern int dlarft_(char *direct, char *storev, integer * n, integer * k,
doublereal * v, integer * ldv, doublereal * tau,
doublereal * t, integer * ldt, ftnlen direct_len,
ftnlen storev_len);
extern int dlarfx_(char *side, integer * m, integer * n, doublereal * v,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, ftnlen side_len);
extern int dlargv_(integer * n, doublereal * x, integer * incx,
doublereal * y, integer * incy, doublereal * c__,
integer * incc);
extern int dlarnv_(integer * idist, integer * iseed, integer * n,
doublereal * x);
extern int dlarrb_(integer * n, doublereal * d__, doublereal * l,
doublereal * ld, doublereal * lld, integer * ifirst,
integer * ilast, doublereal * sigma, doublereal * reltol,
doublereal * w, doublereal * wgap, doublereal * werr,
doublereal * work, integer * iwork, integer * info);
extern int dlarre_(integer * n, doublereal * d__, doublereal * e,
doublereal * tol, integer * nsplit, integer * isplit,
integer * m, doublereal * w, doublereal * woff,
doublereal * gersch, doublereal * work, integer * info);
extern int dlarrf_(integer * n, doublereal * d__, doublereal * l,
doublereal * ld, doublereal * lld, integer * ifirst,
integer * ilast, doublereal * w, doublereal * dplus,
doublereal * lplus, doublereal * work, integer * iwork,
integer * info);
extern int dlarrv_(integer * n, doublereal * d__, doublereal * l,
integer * isplit, integer * m, doublereal * w,
integer * iblock, doublereal * gersch, doublereal * tol,
doublereal * z__, integer * ldz, integer * isuppz,
doublereal * work, integer * iwork, integer * info);
extern int dlartg_(doublereal * f, doublereal * g, doublereal * cs,
doublereal * sn, doublereal * r__);
extern int dlartv_(integer * n, doublereal * x, integer * incx,
doublereal * y, integer * incy, doublereal * c__,
doublereal * s, integer * incc);
extern int dlaruv_(integer * iseed, integer * n, doublereal * x);
extern int dlarz_(char *side, integer * m, integer * n, integer * l,
doublereal * v, integer * incv, doublereal * tau,
doublereal * c__, integer * ldc, doublereal * work,
ftnlen side_len);
extern int dlarzb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, integer * l,
doublereal * v, integer * ldv, doublereal * t,
integer * ldt, doublereal * c__, integer * ldc,
doublereal * work, integer * ldwork, ftnlen side_len,
ftnlen trans_len, ftnlen direct_len, ftnlen storev_len);
extern int dlarzt_(char *direct, char *storev, integer * n, integer * k,
doublereal * v, integer * ldv, doublereal * tau,
doublereal * t, integer * ldt, ftnlen direct_len,
ftnlen storev_len);
extern int dlas2_(doublereal * f, doublereal * g, doublereal * h__,
doublereal * ssmin, doublereal * ssmax);
extern int dlascl_(char *type__, integer * kl, integer * ku,
doublereal * cfrom, doublereal * cto, integer * m,
integer * n, doublereal * a, integer * lda, integer * info,
ftnlen type_len);
extern int dlasd0_(integer * n, integer * sqre, doublereal * d__,
doublereal * e, doublereal * u, integer * ldu,
doublereal * vt, integer * ldvt, integer * smlsiz,
integer * iwork, doublereal * work, integer * info);
extern int dlasd1_(integer * nl, integer * nr, integer * sqre,
doublereal * d__, doublereal * alpha, doublereal * beta,
doublereal * u, integer * ldu, doublereal * vt,
integer * ldvt, integer * idxq, integer * iwork,
doublereal * work, integer * info);
extern int dlasd2_(integer * nl, integer * nr, integer * sqre, integer * k,
doublereal * d__, doublereal * z__, doublereal * alpha,
doublereal * beta, doublereal * u, integer * ldu,
doublereal * vt, integer * ldvt, doublereal * dsigma,
doublereal * u2, integer * ldu2, doublereal * vt2,
integer * ldvt2, integer * idxp, integer * idx,
integer * idxc, integer * idxq, integer * coltyp,
integer * info);
extern int dlasd3_(integer * nl, integer * nr, integer * sqre, integer * k,
doublereal * d__, doublereal * q, integer * ldq,
doublereal * dsigma, doublereal * u, integer * ldu,
doublereal * u2, integer * ldu2, doublereal * vt,
integer * ldvt, doublereal * vt2, integer * ldvt2,
integer * idxc, integer * ctot, doublereal * z__,
integer * info);
extern int dlasd4_(integer * n, integer * i__, doublereal * d__,
doublereal * z__, doublereal * delta, doublereal * rho,
doublereal * sigma, doublereal * work, integer * info);
extern int dlasd5_(integer * i__, doublereal * d__, doublereal * z__,
doublereal * delta, doublereal * rho, doublereal * dsigma,
doublereal * work);
extern int dlasd6_(integer * icompq, integer * nl, integer * nr,
integer * sqre, doublereal * d__, doublereal * vf,
doublereal * vl, doublereal * alpha, doublereal * beta,
integer * idxq, integer * perm, integer * givptr,
integer * givcol, integer * ldgcol, doublereal * givnum,
integer * ldgnum, doublereal * poles, doublereal * difl,
doublereal * difr, doublereal * z__, integer * k,
doublereal * c__, doublereal * s, doublereal * work,
integer * iwork, integer * info);
extern int dlasd7_(integer * icompq, integer * nl, integer * nr,
integer * sqre, integer * k, doublereal * d__,
doublereal * z__, doublereal * zw, doublereal * vf,
doublereal * vfw, doublereal * vl, doublereal * vlw,
doublereal * alpha, doublereal * beta, doublereal * dsigma,
integer * idx, integer * idxp, integer * idxq,
integer * perm, integer * givptr, integer * givcol,
integer * ldgcol, doublereal * givnum, integer * ldgnum,
doublereal * c__, doublereal * s, integer * info);
extern int dlasd8_(integer * icompq, integer * k, doublereal * d__,
doublereal * z__, doublereal * vf, doublereal * vl,
doublereal * difl, doublereal * difr, integer * lddifr,
doublereal * dsigma, doublereal * work, integer * info);
extern int dlasd9_(integer * icompq, integer * ldu, integer * k,
doublereal * d__, doublereal * z__, doublereal * vf,
doublereal * vl, doublereal * difl, doublereal * difr,
doublereal * dsigma, doublereal * work, integer * info);
extern int dlasda_(integer * icompq, integer * smlsiz, integer * n,
integer * sqre, doublereal * d__, doublereal * e,
doublereal * u, integer * ldu, doublereal * vt,
integer * k, doublereal * difl, doublereal * difr,
doublereal * z__, doublereal * poles, integer * givptr,
integer * givcol, integer * ldgcol, integer * perm,
doublereal * givnum, doublereal * c__, doublereal * s,
doublereal * work, integer * iwork, integer * info);
extern int dlasdq_(char *uplo, integer * sqre, integer * n, integer * ncvt,
integer * nru, integer * ncc, doublereal * d__,
doublereal * e, doublereal * vt, integer * ldvt,
doublereal * u, integer * ldu, doublereal * c__,
integer * ldc, doublereal * work, integer * info,
ftnlen uplo_len);
extern int dlasdt_(integer * n, integer * lvl, integer * nd, integer * inode,
integer * ndiml, integer * ndimr, integer * msub);
extern int dlaset_(char *uplo, integer * m, integer * n, doublereal * alpha,
doublereal * beta, doublereal * a, integer * lda,
ftnlen uplo_len);
extern int dlasq1_(integer * n, doublereal * d__, doublereal * e,
doublereal * work, integer * info);
extern int dlasq2_(integer * n, doublereal * z__, integer * info);
extern int dlasq3_(integer * i0, integer * n0, doublereal * z__, integer * pp,
doublereal * dmin__, doublereal * sigma,
doublereal * desig, doublereal * qmax, integer * nfail,
integer * iter, integer * ndiv);
extern int dlasq4_(integer * i0, integer * n0, doublereal * z__, integer * pp,
integer * n0in, doublereal * dmin__, doublereal * dmin1,
doublereal * dmin2, doublereal * dn, doublereal * dn1,
doublereal * dn2, doublereal * tau, integer * ttype);
extern int dlasq5_(integer * i0, integer * n0, doublereal * z__, integer * pp,
doublereal * tau, doublereal * dmin__, doublereal * dmin1,
doublereal * dmin2, doublereal * dn, doublereal * dnm1,
doublereal * dnm2);
extern int dlasq6_(integer * i0, integer * n0, doublereal * z__, integer * pp,
doublereal * dmin__, doublereal * dmin1,
doublereal * dmin2, doublereal * dn, doublereal * dnm1,
doublereal * dnm2);
extern int dlasr_(char *side, char *pivot, char *direct, integer * m,
integer * n, doublereal * c__, doublereal * s,
doublereal * a, integer * lda, ftnlen side_len,
ftnlen pivot_len, ftnlen direct_len);
extern int dlasrt_(char *id, integer * n, doublereal * d__, integer * info,
ftnlen id_len);
extern int dlassq_(integer * n, doublereal * x, integer * incx,
doublereal * scale, doublereal * sumsq);
extern int dlasv2_(doublereal * f, doublereal * g, doublereal * h__,
doublereal * ssmin, doublereal * ssmax, doublereal * snr,
doublereal * csr, doublereal * snl, doublereal * csl);
extern int dlaswp_(integer * n, doublereal * a, integer * lda, integer * k1,
integer * k2, integer * ipiv, integer * incx);
extern int dlasy2_(logical * ltranl, logical * ltranr, integer * isgn,
integer * n1, integer * n2, doublereal * tl,
integer * ldtl, doublereal * tr, integer * ldtr,
doublereal * b, integer * ldb, doublereal * scale,
doublereal * x, integer * ldx, doublereal * xnorm,
integer * info);
extern int dlasyf_(char *uplo, integer * n, integer * nb, integer * kb,
doublereal * a, integer * lda, integer * ipiv,
doublereal * w, integer * ldw, integer * info,
ftnlen uplo_len);
extern int dlatbs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, integer * kd, doublereal * ab, integer * ldab,
doublereal * x, doublereal * scale, doublereal * cnorm,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len, ftnlen normin_len);
extern int dlatdf_(integer * ijob, integer * n, doublereal * z__,
integer * ldz, doublereal * rhs, doublereal * rdsum,
doublereal * rdscal, integer * ipiv, integer * jpiv);
extern int dlatps_(char *uplo, char *trans, char *diag, char *normin,
integer * n, doublereal * ap, doublereal * x,
doublereal * scale, doublereal * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int dlatrd_(char *uplo, integer * n, integer * nb, doublereal * a,
integer * lda, doublereal * e, doublereal * tau,
doublereal * w, integer * ldw, ftnlen uplo_len);
extern int dlatrs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, doublereal * a, integer * lda, doublereal * x,
doublereal * scale, doublereal * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int dlatrz_(integer * m, integer * n, integer * l, doublereal * a,
integer * lda, doublereal * tau, doublereal * work);
extern int dlatzm_(char *side, integer * m, integer * n, doublereal * v,
integer * incv, doublereal * tau, doublereal * c1,
doublereal * c2, integer * ldc, doublereal * work,
ftnlen side_len);
extern int dlauu2_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int dlauum_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int dopgtr_(char *uplo, integer * n, doublereal * ap, doublereal * tau,
doublereal * q, integer * ldq, doublereal * work,
integer * info, ftnlen uplo_len);
extern int dopmtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, doublereal * ap, doublereal * tau,
doublereal * c__, integer * ldc, doublereal * work,
integer * info, ftnlen side_len, ftnlen uplo_len,
ftnlen trans_len);
extern int dorg2l_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * info);
extern int dorg2r_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * info);
extern int dorgbr_(char *vect, integer * m, integer * n, integer * k,
doublereal * a, integer * lda, doublereal * tau,
doublereal * work, integer * lwork, integer * info,
ftnlen vect_len);
extern int dorghr_(integer * n, integer * ilo, integer * ihi, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dorgl2_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * info);
extern int dorglq_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dorgql_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dorgqr_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dorgr2_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * info);
extern int dorgrq_(integer * m, integer * n, integer * k, doublereal * a,
integer * lda, doublereal * tau, doublereal * work,
integer * lwork, integer * info);
extern int dorgtr_(char *uplo, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int dorm2l_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int dorm2r_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int dormbr_(char *vect, char *side, char *trans, integer * m,
integer * n, integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen vect_len, ftnlen side_len, ftnlen trans_len);
extern int dormhr_(char *side, char *trans, integer * m, integer * n,
integer * ilo, integer * ihi, doublereal * a,
integer * lda, doublereal * tau, doublereal * c__,
integer * ldc, doublereal * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int dorml2_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int dormlq_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int dormql_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int dormqr_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int dormr2_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int dormr3_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int dormrq_(char *side, char *trans, integer * m, integer * n,
integer * k, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int dormrz_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int dormtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * c__, integer * ldc,
doublereal * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen uplo_len, ftnlen trans_len);
extern int dpbcon_(char *uplo, integer * n, integer * kd, doublereal * ab,
integer * ldab, doublereal * anorm, doublereal * rcond,
doublereal * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern int dpbequ_(char *uplo, integer * n, integer * kd, doublereal * ab,
integer * ldab, doublereal * s, doublereal * scond,
doublereal * amax, integer * info, ftnlen uplo_len);
extern int dpbrfs_(char *uplo, integer * n, integer * kd, integer * nrhs,
doublereal * ab, integer * ldab, doublereal * afb,
integer * ldafb, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int dpbstf_(char *uplo, integer * n, integer * kd, doublereal * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int dpbsv_(char *uplo, integer * n, integer * kd, integer * nrhs,
doublereal * ab, integer * ldab, doublereal * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int dpbsvx_(char *fact, char *uplo, integer * n, integer * kd,
integer * nrhs, doublereal * ab, integer * ldab,
doublereal * afb, integer * ldafb, char *equed,
doublereal * s, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * rcond,
doublereal * ferr, doublereal * berr, doublereal * work,
integer * iwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int dpbtf2_(char *uplo, integer * n, integer * kd, doublereal * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int dpbtrf_(char *uplo, integer * n, integer * kd, doublereal * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int dpbtrs_(char *uplo, integer * n, integer * kd, integer * nrhs,
doublereal * ab, integer * ldab, doublereal * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int dpocon_(char *uplo, integer * n, doublereal * a, integer * lda,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int dpoequ_(integer * n, doublereal * a, integer * lda, doublereal * s,
doublereal * scond, doublereal * amax, integer * info);
extern int dporfs_(char *uplo, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * af, integer * ldaf,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublereal * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern int dposv_(char *uplo, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int dposvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublereal * a, integer * lda, doublereal * af,
integer * ldaf, char *equed, doublereal * s,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len,
ftnlen equed_len);
extern int dpotf2_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int dpotrf_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int dpotri_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int dpotrs_(char *uplo, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int dppcon_(char *uplo, integer * n, doublereal * ap,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int dppequ_(char *uplo, integer * n, doublereal * ap, doublereal * s,
doublereal * scond, doublereal * amax, integer * info,
ftnlen uplo_len);
extern int dpprfs_(char *uplo, integer * n, integer * nrhs, doublereal * ap,
doublereal * afp, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int dppsv_(char *uplo, integer * n, integer * nrhs, doublereal * ap,
doublereal * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int dppsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublereal * ap, doublereal * afp, char *equed,
doublereal * s, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * rcond,
doublereal * ferr, doublereal * berr, doublereal * work,
integer * iwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int dpptrf_(char *uplo, integer * n, doublereal * ap, integer * info,
ftnlen uplo_len);
extern int dpptri_(char *uplo, integer * n, doublereal * ap, integer * info,
ftnlen uplo_len);
extern int dpptrs_(char *uplo, integer * n, integer * nrhs, doublereal * ap,
doublereal * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int dptcon_(integer * n, doublereal * d__, doublereal * e,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * info);
extern int dpteqr_(char *compz, integer * n, doublereal * d__, doublereal * e,
doublereal * z__, integer * ldz, doublereal * work,
integer * info, ftnlen compz_len);
extern int dptrfs_(integer * n, integer * nrhs, doublereal * d__,
doublereal * e, doublereal * df, doublereal * ef,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublereal * work, integer * info);
extern int dptsv_(integer * n, integer * nrhs, doublereal * d__,
doublereal * e, doublereal * b, integer * ldb,
integer * info);
extern int dptsvx_(char *fact, integer * n, integer * nrhs, doublereal * d__,
doublereal * e, doublereal * df, doublereal * ef,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublereal * work, integer * info,
ftnlen fact_len);
extern int dpttrf_(integer * n, doublereal * d__, doublereal * e,
integer * info);
extern int dpttrs_(integer * n, integer * nrhs, doublereal * d__,
doublereal * e, doublereal * b, integer * ldb,
integer * info);
extern int dptts2_(integer * n, integer * nrhs, doublereal * d__,
doublereal * e, doublereal * b, integer * ldb);
extern int drscl_(integer * n, doublereal * sa, doublereal * sx,
integer * incx);
extern int dsbev_(char *jobz, char *uplo, integer * n, integer * kd,
doublereal * ab, integer * ldab, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dsbevd_(char *jobz, char *uplo, integer * n, integer * kd,
doublereal * ab, integer * ldab, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dsbevx_(char *jobz, char *range, char *uplo, integer * n,
integer * kd, doublereal * ab, integer * ldab,
doublereal * q, integer * ldq, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int dsbgst_(char *vect, char *uplo, integer * n, integer * ka,
integer * kb, doublereal * ab, integer * ldab,
doublereal * bb, integer * ldbb, doublereal * x,
integer * ldx, doublereal * work, integer * info,
ftnlen vect_len, ftnlen uplo_len);
extern int dsbgv_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, doublereal * ab, integer * ldab,
doublereal * bb, integer * ldbb, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dsbgvd_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, doublereal * ab, integer * ldab,
doublereal * bb, integer * ldbb, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dsbgvx_(char *jobz, char *range, char *uplo, integer * n,
integer * ka, integer * kb, doublereal * ab,
integer * ldab, doublereal * bb, integer * ldbb,
doublereal * q, integer * ldq, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int dsbtrd_(char *vect, char *uplo, integer * n, integer * kd,
doublereal * ab, integer * ldab, doublereal * d__,
doublereal * e, doublereal * q, integer * ldq,
doublereal * work, integer * info, ftnlen vect_len,
ftnlen uplo_len);
extern doublereal dsecnd_(void);
extern int dspcon_(char *uplo, integer * n, doublereal * ap, integer * ipiv,
doublereal * anorm, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int dspev_(char *jobz, char *uplo, integer * n, doublereal * ap,
doublereal * w, doublereal * z__, integer * ldz,
doublereal * work, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int dspevd_(char *jobz, char *uplo, integer * n, doublereal * ap,
doublereal * w, doublereal * z__, integer * ldz,
doublereal * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int dspevx_(char *jobz, char *range, char *uplo, integer * n,
doublereal * ap, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublereal * z__,
integer * ldz, doublereal * work, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int dspgst_(integer * itype, char *uplo, integer * n, doublereal * ap,
doublereal * bp, integer * info, ftnlen uplo_len);
extern int dspgv_(integer * itype, char *jobz, char *uplo, integer * n,
doublereal * ap, doublereal * bp, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dspgvd_(integer * itype, char *jobz, char *uplo, integer * n,
doublereal * ap, doublereal * bp, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dspgvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, doublereal * ap, doublereal * bp,
doublereal * vl, doublereal * vu, integer * il,
integer * iu, doublereal * abstol, integer * m,
doublereal * w, doublereal * z__, integer * ldz,
doublereal * work, integer * iwork, integer * ifail,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int dsprfs_(char *uplo, integer * n, integer * nrhs, doublereal * ap,
doublereal * afp, integer * ipiv, doublereal * b,
integer * ldb, doublereal * x, integer * ldx,
doublereal * ferr, doublereal * berr, doublereal * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int dspsv_(char *uplo, integer * n, integer * nrhs, doublereal * ap,
integer * ipiv, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int dspsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublereal * ap, doublereal * afp, integer * ipiv,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int dsptrd_(char *uplo, integer * n, doublereal * ap, doublereal * d__,
doublereal * e, doublereal * tau, integer * info,
ftnlen uplo_len);
extern int dsptrf_(char *uplo, integer * n, doublereal * ap, integer * ipiv,
integer * info, ftnlen uplo_len);
extern int dsptri_(char *uplo, integer * n, doublereal * ap, integer * ipiv,
doublereal * work, integer * info, ftnlen uplo_len);
extern int dsptrs_(char *uplo, integer * n, integer * nrhs, doublereal * ap,
integer * ipiv, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int dstebz_(char *range, char *order, integer * n, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, doublereal * d__, doublereal * e,
integer * m, integer * nsplit, doublereal * w,
integer * iblock, integer * isplit, doublereal * work,
integer * iwork, integer * info, ftnlen range_len,
ftnlen order_len);
extern int dstedc_(char *compz, integer * n, doublereal * d__, doublereal * e,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen compz_len);
extern int dstegr_(char *jobz, char *range, integer * n, doublereal * d__,
doublereal * e, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublereal * z__,
integer * ldz, integer * isuppz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len);
extern int dstein_(integer * n, doublereal * d__, doublereal * e, integer * m,
doublereal * w, integer * iblock, integer * isplit,
doublereal * z__, integer * ldz, doublereal * work,
integer * iwork, integer * ifail, integer * info);
extern int dsteqr_(char *compz, integer * n, doublereal * d__, doublereal * e,
doublereal * z__, integer * ldz, doublereal * work,
integer * info, ftnlen compz_len);
extern int dsterf_(integer * n, doublereal * d__, doublereal * e,
integer * info);
extern int dstev_(char *jobz, integer * n, doublereal * d__, doublereal * e,
doublereal * z__, integer * ldz, doublereal * work,
integer * info, ftnlen jobz_len);
extern int dstevd_(char *jobz, integer * n, doublereal * d__, doublereal * e,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len);
extern int dstevr_(char *jobz, char *range, integer * n, doublereal * d__,
doublereal * e, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublereal * z__,
integer * ldz, integer * isuppz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len);
extern int dstevx_(char *jobz, char *range, integer * n, doublereal * d__,
doublereal * e, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublereal * z__,
integer * ldz, doublereal * work, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len);
extern int dsycon_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * ipiv, doublereal * anorm, doublereal * rcond,
doublereal * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern int dsyev_(char *jobz, char *uplo, integer * n, doublereal * a,
integer * lda, doublereal * w, doublereal * work,
integer * lwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int dsyevd_(char *jobz, char *uplo, integer * n, doublereal * a,
integer * lda, doublereal * w, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dsyevr_(char *jobz, char *range, char *uplo, integer * n,
doublereal * a, integer * lda, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublereal * z__, integer * ldz, integer * isuppz,
doublereal * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int dsyevx_(char *jobz, char *range, char *uplo, integer * n,
doublereal * a, integer * lda, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublereal * z__, integer * ldz, doublereal * work,
integer * lwork, integer * iwork, integer * ifail,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int dsygs2_(integer * itype, char *uplo, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int dsygst_(integer * itype, char *uplo, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int dsygv_(integer * itype, char *jobz, char *uplo, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * w, doublereal * work,
integer * lwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int dsygvd_(integer * itype, char *jobz, char *uplo, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * w, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int dsygvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublereal * z__,
integer * ldz, doublereal * work, integer * lwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int dsyrfs_(char *uplo, integer * n, integer * nrhs, doublereal * a,
integer * lda, doublereal * af, integer * ldaf,
integer * ipiv, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int dsysv_(char *uplo, integer * n, integer * nrhs, doublereal * a,
integer * lda, integer * ipiv, doublereal * b,
integer * ldb, doublereal * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int dsysvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublereal * a, integer * lda, doublereal * af,
integer * ldaf, integer * ipiv, doublereal * b,
integer * ldb, doublereal * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublereal * work, integer * lwork, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int dsytd2_(char *uplo, integer * n, doublereal * a, integer * lda,
doublereal * d__, doublereal * e, doublereal * tau,
integer * info, ftnlen uplo_len);
extern int dsytf2_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int dsytrd_(char *uplo, integer * n, doublereal * a, integer * lda,
doublereal * d__, doublereal * e, doublereal * tau,
doublereal * work, integer * lwork, integer * info,
ftnlen uplo_len);
extern int dsytrf_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * ipiv, doublereal * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int dsytri_(char *uplo, integer * n, doublereal * a, integer * lda,
integer * ipiv, doublereal * work, integer * info,
ftnlen uplo_len);
extern int dsytrs_(char *uplo, integer * n, integer * nrhs, doublereal * a,
integer * lda, integer * ipiv, doublereal * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int dtbcon_(char *norm, char *uplo, char *diag, integer * n,
integer * kd, doublereal * ab, integer * ldab,
doublereal * rcond, doublereal * work, integer * iwork,
integer * info, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern int dtbrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, doublereal * ab,
integer * ldab, doublereal * b, integer * ldb,
doublereal * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublereal * work, integer * iwork,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int dtbtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, doublereal * ab,
integer * ldab, doublereal * b, integer * ldb,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int dtgevc_(char *side, char *howmny, logical * select, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * vl, integer * ldvl,
doublereal * vr, integer * ldvr, integer * mm, integer * m,
doublereal * work, integer * info, ftnlen side_len,
ftnlen howmny_len);
extern int dtgex2_(logical * wantq, logical * wantz, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * q, integer * ldq,
doublereal * z__, integer * ldz, integer * j1,
integer * n1, integer * n2, doublereal * work,
integer * lwork, integer * info);
extern int dtgexc_(logical * wantq, logical * wantz, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * q, integer * ldq,
doublereal * z__, integer * ldz, integer * ifst,
integer * ilst, doublereal * work, integer * lwork,
integer * info);
extern int dtgsen_(integer * ijob, logical * wantq, logical * wantz,
logical * select, integer * n, doublereal * a,
integer * lda, doublereal * b, integer * ldb,
doublereal * alphar, doublereal * alphai,
doublereal * beta, doublereal * q, integer * ldq,
doublereal * z__, integer * ldz, integer * m,
doublereal * pl, doublereal * pr, doublereal * dif,
doublereal * work, integer * lwork, integer * iwork,
integer * liwork, integer * info);
extern int dtgsja_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, integer * k, integer * l,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * tola, doublereal * tolb,
doublereal * alpha, doublereal * beta, doublereal * u,
integer * ldu, doublereal * v, integer * ldv,
doublereal * q, integer * ldq, doublereal * work,
integer * ncycle, integer * info, ftnlen jobu_len,
ftnlen jobv_len, ftnlen jobq_len);
extern int dtgsna_(char *job, char *howmny, logical * select, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * vl, integer * ldvl,
doublereal * vr, integer * ldvr, doublereal * s,
doublereal * dif, integer * mm, integer * m,
doublereal * work, integer * lwork, integer * iwork,
integer * info, ftnlen job_len, ftnlen howmny_len);
extern int dtgsy2_(char *trans, integer * ijob, integer * m, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * c__, integer * ldc,
doublereal * d__, integer * ldd, doublereal * e,
integer * lde, doublereal * f, integer * ldf,
doublereal * scale, doublereal * rdsum,
doublereal * rdscal, integer * iwork, integer * pq,
integer * info, ftnlen trans_len);
extern int dtgsyl_(char *trans, integer * ijob, integer * m, integer * n,
doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * c__, integer * ldc,
doublereal * d__, integer * ldd, doublereal * e,
integer * lde, doublereal * f, integer * ldf,
doublereal * scale, doublereal * dif, doublereal * work,
integer * lwork, integer * iwork, integer * info,
ftnlen trans_len);
extern int dtpcon_(char *norm, char *uplo, char *diag, integer * n,
doublereal * ap, doublereal * rcond, doublereal * work,
integer * iwork, integer * info, ftnlen norm_len,
ftnlen uplo_len, ftnlen diag_len);
extern int dtprfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublereal * ap, doublereal * b,
integer * ldb, doublereal * x, integer * ldx,
doublereal * ferr, doublereal * berr, doublereal * work,
integer * iwork, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int dtptri_(char *uplo, char *diag, integer * n, doublereal * ap,
integer * info, ftnlen uplo_len, ftnlen diag_len);
extern int dtptrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublereal * ap, doublereal * b,
integer * ldb, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int dtrcon_(char *norm, char *uplo, char *diag, integer * n,
doublereal * a, integer * lda, doublereal * rcond,
doublereal * work, integer * iwork, integer * info,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int dtrevc_(char *side, char *howmny, logical * select, integer * n,
doublereal * t, integer * ldt, doublereal * vl,
integer * ldvl, doublereal * vr, integer * ldvr,
integer * mm, integer * m, doublereal * work,
integer * info, ftnlen side_len, ftnlen howmny_len);
extern int dtrexc_(char *compq, integer * n, doublereal * t, integer * ldt,
doublereal * q, integer * ldq, integer * ifst,
integer * ilst, doublereal * work, integer * info,
ftnlen compq_len);
extern int dtrrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublereal * a, integer * lda,
doublereal * b, integer * ldb, doublereal * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublereal * work, integer * iwork, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int dtrsen_(char *job, char *compq, logical * select, integer * n,
doublereal * t, integer * ldt, doublereal * q,
integer * ldq, doublereal * wr, doublereal * wi,
integer * m, doublereal * s, doublereal * sep,
doublereal * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen job_len,
ftnlen compq_len);
extern int dtrsna_(char *job, char *howmny, logical * select, integer * n,
doublereal * t, integer * ldt, doublereal * vl,
integer * ldvl, doublereal * vr, integer * ldvr,
doublereal * s, doublereal * sep, integer * mm,
integer * m, doublereal * work, integer * ldwork,
integer * iwork, integer * info, ftnlen job_len,
ftnlen howmny_len);
extern int dtrsyl_(char *trana, char *tranb, integer * isgn, integer * m,
integer * n, doublereal * a, integer * lda, doublereal * b,
integer * ldb, doublereal * c__, integer * ldc,
doublereal * scale, integer * info, ftnlen trana_len,
ftnlen tranb_len);
extern int dtrti2_(char *uplo, char *diag, integer * n, doublereal * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int dtrtri_(char *uplo, char *diag, integer * n, doublereal * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int dtrtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublereal * a, integer * lda,
doublereal * b, integer * ldb, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int dtzrqf_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, integer * info);
extern int dtzrzf_(integer * m, integer * n, doublereal * a, integer * lda,
doublereal * tau, doublereal * work, integer * lwork,
integer * info);
extern doublereal dzsum1_(integer * n, doublecomplex * cx, integer * incx);
extern integer icmax1_(integer * n, complex * cx, integer * incx);
extern integer ieeeck_(integer * ispec, real * zero, real * one);
extern integer ilaenv_(integer * ispec, char *name__, char *opts,
integer * n1, integer * n2, integer * n3, integer * n4,
ftnlen name_len, ftnlen opts_len);
extern integer izmax1_(integer * n, doublecomplex * cx, integer * incx);
extern logical lsame_(char *ca, char *cb, ftnlen ca_len, ftnlen cb_len);
extern logical lsamen_(integer * n, char *ca, char *cb, ftnlen ca_len,
ftnlen cb_len);
extern int sbdsdc_(char *uplo, char *compq, integer * n, real * d__, real * e,
real * u, integer * ldu, real * vt, integer * ldvt,
real * q, integer * iq, real * work, integer * iwork,
integer * info, ftnlen uplo_len, ftnlen compq_len);
extern int sbdsqr_(char *uplo, integer * n, integer * ncvt, integer * nru,
integer * ncc, real * d__, real * e, real * vt,
integer * ldvt, real * u, integer * ldu, real * c__,
integer * ldc, real * work, integer * info,
ftnlen uplo_len);
extern E_f scsum1_(integer * n, complex * cx, integer * incx);
extern int sdisna_(char *job, integer * m, integer * n, real * d__,
real * sep, integer * info, ftnlen job_len);
extern E_f second_(void);
extern int sgbbrd_(char *vect, integer * m, integer * n, integer * ncc,
integer * kl, integer * ku, real * ab, integer * ldab,
real * d__, real * e, real * q, integer * ldq, real * pt,
integer * ldpt, real * c__, integer * ldc, real * work,
integer * info, ftnlen vect_len);
extern int sgbcon_(char *norm, integer * n, integer * kl, integer * ku,
real * ab, integer * ldab, integer * ipiv, real * anorm,
real * rcond, real * work, integer * iwork, integer * info,
ftnlen norm_len);
extern int sgbequ_(integer * m, integer * n, integer * kl, integer * ku,
real * ab, integer * ldab, real * r__, real * c__,
real * rowcnd, real * colcnd, real * amax, integer * info);
extern int sgbrfs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, real * ab, integer * ldab, real * afb,
integer * ldafb, integer * ipiv, real * b, integer * ldb,
real * x, integer * ldx, real * ferr, real * berr,
real * work, integer * iwork, integer * info,
ftnlen trans_len);
extern int sgbsv_(integer * n, integer * kl, integer * ku, integer * nrhs,
real * ab, integer * ldab, integer * ipiv, real * b,
integer * ldb, integer * info);
extern int sgbsvx_(char *fact, char *trans, integer * n, integer * kl,
integer * ku, integer * nrhs, real * ab, integer * ldab,
real * afb, integer * ldafb, integer * ipiv, char *equed,
real * r__, real * c__, real * b, integer * ldb, real * x,
integer * ldx, real * rcond, real * ferr, real * berr,
real * work, integer * iwork, integer * info,
ftnlen fact_len, ftnlen trans_len, ftnlen equed_len);
extern int sgbtf2_(integer * m, integer * n, integer * kl, integer * ku,
real * ab, integer * ldab, integer * ipiv, integer * info);
extern int sgbtrf_(integer * m, integer * n, integer * kl, integer * ku,
real * ab, integer * ldab, integer * ipiv, integer * info);
extern int sgbtrs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, real * ab, integer * ldab, integer * ipiv,
real * b, integer * ldb, integer * info, ftnlen trans_len);
extern int sgebak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, real * scale, integer * m, real * v,
integer * ldv, integer * info, ftnlen job_len,
ftnlen side_len);
extern int sgebal_(char *job, integer * n, real * a, integer * lda,
integer * ilo, integer * ihi, real * scale, integer * info,
ftnlen job_len);
extern int sgebd2_(integer * m, integer * n, real * a, integer * lda,
real * d__, real * e, real * tauq, real * taup,
real * work, integer * info);
extern int sgebrd_(integer * m, integer * n, real * a, integer * lda,
real * d__, real * e, real * tauq, real * taup,
real * work, integer * lwork, integer * info);
extern int sgecon_(char *norm, integer * n, real * a, integer * lda,
real * anorm, real * rcond, real * work, integer * iwork,
integer * info, ftnlen norm_len);
extern int sgeequ_(integer * m, integer * n, real * a, integer * lda,
real * r__, real * c__, real * rowcnd, real * colcnd,
real * amax, integer * info);
extern int sgees_(char *jobvs, char *sort, L_fp select, integer * n, real * a,
integer * lda, integer * sdim, real * wr, real * wi,
real * vs, integer * ldvs, real * work, integer * lwork,
logical * bwork, integer * info, ftnlen jobvs_len,
ftnlen sort_len);
extern int sgeesx_(char *jobvs, char *sort, L_fp select, char *sense,
integer * n, real * a, integer * lda, integer * sdim,
real * wr, real * wi, real * vs, integer * ldvs,
real * rconde, real * rcondv, real * work, integer * lwork,
integer * iwork, integer * liwork, logical * bwork,
integer * info, ftnlen jobvs_len, ftnlen sort_len,
ftnlen sense_len);
extern int sgeev_(char *jobvl, char *jobvr, integer * n, real * a,
integer * lda, real * wr, real * wi, real * vl,
integer * ldvl, real * vr, integer * ldvr, real * work,
integer * lwork, integer * info, ftnlen jobvl_len,
ftnlen jobvr_len);
extern int sgeevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, real * a, integer * lda, real * wr, real * wi,
real * vl, integer * ldvl, real * vr, integer * ldvr,
integer * ilo, integer * ihi, real * scale, real * abnrm,
real * rconde, real * rcondv, real * work, integer * lwork,
integer * iwork, integer * info, ftnlen balanc_len,
ftnlen jobvl_len, ftnlen jobvr_len, ftnlen sense_len);
extern int sgegs_(char *jobvsl, char *jobvsr, integer * n, real * a,
integer * lda, real * b, integer * ldb, real * alphar,
real * alphai, real * beta, real * vsl, integer * ldvsl,
real * vsr, integer * ldvsr, real * work, integer * lwork,
integer * info, ftnlen jobvsl_len, ftnlen jobvsr_len);
extern int sgegv_(char *jobvl, char *jobvr, integer * n, real * a,
integer * lda, real * b, integer * ldb, real * alphar,
real * alphai, real * beta, real * vl, integer * ldvl,
real * vr, integer * ldvr, real * work, integer * lwork,
integer * info, ftnlen jobvl_len, ftnlen jobvr_len);
extern int sgehd2_(integer * n, integer * ilo, integer * ihi, real * a,
integer * lda, real * tau, real * work, integer * info);
extern int sgehrd_(integer * n, integer * ilo, integer * ihi, real * a,
integer * lda, real * tau, real * work, integer * lwork,
integer * info);
extern int sgelq2_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * info);
extern int sgelqf_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * lwork, integer * info);
extern int sgels_(char *trans, integer * m, integer * n, integer * nrhs,
real * a, integer * lda, real * b, integer * ldb,
real * work, integer * lwork, integer * info,
ftnlen trans_len);
extern int sgelsd_(integer * m, integer * n, integer * nrhs, real * a,
integer * lda, real * b, integer * ldb, real * s,
real * rcond, integer * rank, real * work, integer * lwork,
integer * iwork, integer * info);
extern int sgelss_(integer * m, integer * n, integer * nrhs, real * a,
integer * lda, real * b, integer * ldb, real * s,
real * rcond, integer * rank, real * work, integer * lwork,
integer * info);
extern int sgelsx_(integer * m, integer * n, integer * nrhs, real * a,
integer * lda, real * b, integer * ldb, integer * jpvt,
real * rcond, integer * rank, real * work, integer * info);
extern int sgelsy_(integer * m, integer * n, integer * nrhs, real * a,
integer * lda, real * b, integer * ldb, integer * jpvt,
real * rcond, integer * rank, real * work, integer * lwork,
integer * info);
extern int sgeql2_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * info);
extern int sgeqlf_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * lwork, integer * info);
extern int sgeqp3_(integer * m, integer * n, real * a, integer * lda,
integer * jpvt, real * tau, real * work, integer * lwork,
integer * info);
extern int sgeqpf_(integer * m, integer * n, real * a, integer * lda,
integer * jpvt, real * tau, real * work, integer * info);
extern int sgeqr2_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * info);
extern int sgeqrf_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * lwork, integer * info);
extern int sgerfs_(char *trans, integer * n, integer * nrhs, real * a,
integer * lda, real * af, integer * ldaf, integer * ipiv,
real * b, integer * ldb, real * x, integer * ldx,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen trans_len);
extern int sgerq2_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * info);
extern int sgerqf_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * lwork, integer * info);
extern int sgesc2_(integer * n, real * a, integer * lda, real * rhs,
integer * ipiv, integer * jpiv, real * scale);
extern int sgesdd_(char *jobz, integer * m, integer * n, real * a,
integer * lda, real * s, real * u, integer * ldu,
real * vt, integer * ldvt, real * work, integer * lwork,
integer * iwork, integer * info, ftnlen jobz_len);
extern int sgesv_(integer * n, integer * nrhs, real * a, integer * lda,
integer * ipiv, real * b, integer * ldb, integer * info);
extern int sgesvd_(char *jobu, char *jobvt, integer * m, integer * n,
real * a, integer * lda, real * s, real * u, integer * ldu,
real * vt, integer * ldvt, real * work, integer * lwork,
integer * info, ftnlen jobu_len, ftnlen jobvt_len);
extern int sgesvx_(char *fact, char *trans, integer * n, integer * nrhs,
real * a, integer * lda, real * af, integer * ldaf,
integer * ipiv, char *equed, real * r__, real * c__,
real * b, integer * ldb, real * x, integer * ldx,
real * rcond, real * ferr, real * berr, real * work,
integer * iwork, integer * info, ftnlen fact_len,
ftnlen trans_len, ftnlen equed_len);
extern int sgetc2_(integer * n, real * a, integer * lda, integer * ipiv,
integer * jpiv, integer * info);
extern int sgetf2_(integer * m, integer * n, real * a, integer * lda,
integer * ipiv, integer * info);
extern int sgetrf_(integer * m, integer * n, real * a, integer * lda,
integer * ipiv, integer * info);
extern int sgetri_(integer * n, real * a, integer * lda, integer * ipiv,
real * work, integer * lwork, integer * info);
extern int sgetrs_(char *trans, integer * n, integer * nrhs, real * a,
integer * lda, integer * ipiv, real * b, integer * ldb,
integer * info, ftnlen trans_len);
extern int sggbak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, real * lscale, real * rscale, integer * m,
real * v, integer * ldv, integer * info, ftnlen job_len,
ftnlen side_len);
extern int sggbal_(char *job, integer * n, real * a, integer * lda, real * b,
integer * ldb, integer * ilo, integer * ihi, real * lscale,
real * rscale, real * work, integer * info,
ftnlen job_len);
extern int sgges_(char *jobvsl, char *jobvsr, char *sort, L_fp selctg,
integer * n, real * a, integer * lda, real * b,
integer * ldb, integer * sdim, real * alphar, real * alphai,
real * beta, real * vsl, integer * ldvsl, real * vsr,
integer * ldvsr, real * work, integer * lwork,
logical * bwork, integer * info, ftnlen jobvsl_len,
ftnlen jobvsr_len, ftnlen sort_len);
extern int sggesx_(char *jobvsl, char *jobvsr, char *sort, L_fp selctg,
char *sense, integer * n, real * a, integer * lda,
real * b, integer * ldb, integer * sdim, real * alphar,
real * alphai, real * beta, real * vsl, integer * ldvsl,
real * vsr, integer * ldvsr, real * rconde, real * rcondv,
real * work, integer * lwork, integer * iwork,
integer * liwork, logical * bwork, integer * info,
ftnlen jobvsl_len, ftnlen jobvsr_len, ftnlen sort_len,
ftnlen sense_len);
extern int sggev_(char *jobvl, char *jobvr, integer * n, real * a,
integer * lda, real * b, integer * ldb, real * alphar,
real * alphai, real * beta, real * vl, integer * ldvl,
real * vr, integer * ldvr, real * work, integer * lwork,
integer * info, ftnlen jobvl_len, ftnlen jobvr_len);
extern int sggevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, real * a, integer * lda, real * b,
integer * ldb, real * alphar, real * alphai, real * beta,
real * vl, integer * ldvl, real * vr, integer * ldvr,
integer * ilo, integer * ihi, real * lscale, real * rscale,
real * abnrm, real * bbnrm, real * rconde, real * rcondv,
real * work, integer * lwork, integer * iwork,
logical * bwork, integer * info, ftnlen balanc_len,
ftnlen jobvl_len, ftnlen jobvr_len, ftnlen sense_len);
extern int sggglm_(integer * n, integer * m, integer * p, real * a,
integer * lda, real * b, integer * ldb, real * d__,
real * x, real * y, real * work, integer * lwork,
integer * info);
extern int sgghrd_(char *compq, char *compz, integer * n, integer * ilo,
integer * ihi, real * a, integer * lda, real * b,
integer * ldb, real * q, integer * ldq, real * z__,
integer * ldz, integer * info, ftnlen compq_len,
ftnlen compz_len);
extern int sgglse_(integer * m, integer * n, integer * p, real * a,
integer * lda, real * b, integer * ldb, real * c__,
real * d__, real * x, real * work, integer * lwork,
integer * info);
extern int sggqrf_(integer * n, integer * m, integer * p, real * a,
integer * lda, real * taua, real * b, integer * ldb,
real * taub, real * work, integer * lwork, integer * info);
extern int sggrqf_(integer * m, integer * p, integer * n, real * a,
integer * lda, real * taua, real * b, integer * ldb,
real * taub, real * work, integer * lwork, integer * info);
extern int sggsvd_(char *jobu, char *jobv, char *jobq, integer * m,
integer * n, integer * p, integer * k, integer * l,
real * a, integer * lda, real * b, integer * ldb,
real * alpha, real * beta, real * u, integer * ldu,
real * v, integer * ldv, real * q, integer * ldq,
real * work, integer * iwork, integer * info,
ftnlen jobu_len, ftnlen jobv_len, ftnlen jobq_len);
extern int sggsvp_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, real * a, integer * lda,
real * b, integer * ldb, real * tola, real * tolb,
integer * k, integer * l, real * u, integer * ldu,
real * v, integer * ldv, real * q, integer * ldq,
integer * iwork, real * tau, real * work, integer * info,
ftnlen jobu_len, ftnlen jobv_len, ftnlen jobq_len);
extern int sgtcon_(char *norm, integer * n, real * dl, real * d__, real * du,
real * du2, integer * ipiv, real * anorm, real * rcond,
real * work, integer * iwork, integer * info,
ftnlen norm_len);
extern int sgtrfs_(char *trans, integer * n, integer * nrhs, real * dl,
real * d__, real * du, real * dlf, real * df, real * duf,
real * du2, integer * ipiv, real * b, integer * ldb,
real * x, integer * ldx, real * ferr, real * berr,
real * work, integer * iwork, integer * info,
ftnlen trans_len);
extern int sgtsv_(integer * n, integer * nrhs, real * dl, real * d__,
real * du, real * b, integer * ldb, integer * info);
extern int sgtsvx_(char *fact, char *trans, integer * n, integer * nrhs,
real * dl, real * d__, real * du, real * dlf, real * df,
real * duf, real * du2, integer * ipiv, real * b,
integer * ldb, real * x, integer * ldx, real * rcond,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen fact_len, ftnlen trans_len);
extern int sgttrf_(integer * n, real * dl, real * d__, real * du, real * du2,
integer * ipiv, integer * info);
extern int sgttrs_(char *trans, integer * n, integer * nrhs, real * dl,
real * d__, real * du, real * du2, integer * ipiv,
real * b, integer * ldb, integer * info, ftnlen trans_len);
extern int sgtts2_(integer * itrans, integer * n, integer * nrhs, real * dl,
real * d__, real * du, real * du2, integer * ipiv,
real * b, integer * ldb);
extern int shgeqz_(char *job, char *compq, char *compz, integer * n,
integer * ilo, integer * ihi, real * a, integer * lda,
real * b, integer * ldb, real * alphar, real * alphai,
real * beta, real * q, integer * ldq, real * z__,
integer * ldz, real * work, integer * lwork,
integer * info, ftnlen job_len, ftnlen compq_len,
ftnlen compz_len);
extern int shsein_(char *side, char *eigsrc, char *initv, logical * select,
integer * n, real * h__, integer * ldh, real * wr,
real * wi, real * vl, integer * ldvl, real * vr,
integer * ldvr, integer * mm, integer * m, real * work,
integer * ifaill, integer * ifailr, integer * info,
ftnlen side_len, ftnlen eigsrc_len, ftnlen initv_len);
extern int shseqr_(char *job, char *compz, integer * n, integer * ilo,
integer * ihi, real * h__, integer * ldh, real * wr,
real * wi, real * z__, integer * ldz, real * work,
integer * lwork, integer * info, ftnlen job_len,
ftnlen compz_len);
extern int slabad_(real * small, real * large);
extern int slabrd_(integer * m, integer * n, integer * nb, real * a,
integer * lda, real * d__, real * e, real * tauq,
real * taup, real * x, integer * ldx, real * y,
integer * ldy);
extern int slacon_(integer * n, real * v, real * x, integer * isgn,
real * est, integer * kase);
extern int slacpy_(char *uplo, integer * m, integer * n, real * a,
integer * lda, real * b, integer * ldb, ftnlen uplo_len);
extern int sladiv_(real * a, real * b, real * c__, real * d__, real * p,
real * q);
extern int slae2_(real * a, real * b, real * c__, real * rt1, real * rt2);
extern int slaebz_(integer * ijob, integer * nitmax, integer * n,
integer * mmax, integer * minp, integer * nbmin,
real * abstol, real * reltol, real * pivmin, real * d__,
real * e, real * e2, integer * nval, real * ab, real * c__,
integer * mout, integer * nab, real * work,
integer * iwork, integer * info);
extern int slaed0_(integer * icompq, integer * qsiz, integer * n, real * d__,
real * e, real * q, integer * ldq, real * qstore,
integer * ldqs, real * work, integer * iwork,
integer * info);
extern int slaed1_(integer * n, real * d__, real * q, integer * ldq,
integer * indxq, real * rho, integer * cutpnt, real * work,
integer * iwork, integer * info);
extern int slaed2_(integer * k, integer * n, integer * n1, real * d__,
real * q, integer * ldq, integer * indxq, real * rho,
real * z__, real * dlamda, real * w, real * q2,
integer * indx, integer * indxc, integer * indxp,
integer * coltyp, integer * info);
extern int slaed3_(integer * k, integer * n, integer * n1, real * d__,
real * q, integer * ldq, real * rho, real * dlamda,
real * q2, integer * indx, integer * ctot, real * w,
real * s, integer * info);
extern int slaed4_(integer * n, integer * i__, real * d__, real * z__,
real * delta, real * rho, real * dlam, integer * info);
extern int slaed5_(integer * i__, real * d__, real * z__, real * delta,
real * rho, real * dlam);
extern int slaed6_(integer * kniter, logical * orgati, real * rho, real * d__,
real * z__, real * finit, real * tau, integer * info);
extern int slaed7_(integer * icompq, integer * n, integer * qsiz,
integer * tlvls, integer * curlvl, integer * curpbm,
real * d__, real * q, integer * ldq, integer * indxq,
real * rho, integer * cutpnt, real * qstore,
integer * qptr, integer * prmptr, integer * perm,
integer * givptr, integer * givcol, real * givnum,
real * work, integer * iwork, integer * info);
extern int slaed8_(integer * icompq, integer * k, integer * n, integer * qsiz,
real * d__, real * q, integer * ldq, integer * indxq,
real * rho, integer * cutpnt, real * z__, real * dlamda,
real * q2, integer * ldq2, real * w, integer * perm,
integer * givptr, integer * givcol, real * givnum,
integer * indxp, integer * indx, integer * info);
extern int slaed9_(integer * k, integer * kstart, integer * kstop,
integer * n, real * d__, real * q, integer * ldq,
real * rho, real * dlamda, real * w, real * s,
integer * lds, integer * info);
extern int slaeda_(integer * n, integer * tlvls, integer * curlvl,
integer * curpbm, integer * prmptr, integer * perm,
integer * givptr, integer * givcol, real * givnum,
real * q, integer * qptr, real * z__, real * ztemp,
integer * info);
extern int slaein_(logical * rightv, logical * noinit, integer * n,
real * h__, integer * ldh, real * wr, real * wi, real * vr,
real * vi, real * b, integer * ldb, real * work,
real * eps3, real * smlnum, real * bignum, integer * info);
extern int slaev2_(real * a, real * b, real * c__, real * rt1, real * rt2,
real * cs1, real * sn1);
extern int slaexc_(logical * wantq, integer * n, real * t, integer * ldt,
real * q, integer * ldq, integer * j1, integer * n1,
integer * n2, real * work, integer * info);
extern int slag2_(real * a, integer * lda, real * b, integer * ldb,
real * safmin, real * scale1, real * scale2, real * wr1,
real * wr2, real * wi);
extern int slags2_(logical * upper, real * a1, real * a2, real * a3,
real * b1, real * b2, real * b3, real * csu, real * snu,
real * csv, real * snv, real * csq, real * snq);
extern int slagtf_(integer * n, real * a, real * lambda, real * b, real * c__,
real * tol, real * d__, integer * in, integer * info);
extern int slagtm_(char *trans, integer * n, integer * nrhs, real * alpha,
real * dl, real * d__, real * du, real * x, integer * ldx,
real * beta, real * b, integer * ldb, ftnlen trans_len);
extern int slagts_(integer * job, integer * n, real * a, real * b, real * c__,
real * d__, integer * in, real * y, real * tol,
integer * info);
extern int slagv2_(real * a, integer * lda, real * b, integer * ldb,
real * alphar, real * alphai, real * beta, real * csl,
real * snl, real * csr, real * snr);
extern int slahqr_(logical * wantt, logical * wantz, integer * n,
integer * ilo, integer * ihi, real * h__, integer * ldh,
real * wr, real * wi, integer * iloz, integer * ihiz,
real * z__, integer * ldz, integer * info);
extern int slahrd_(integer * n, integer * k, integer * nb, real * a,
integer * lda, real * tau, real * t, integer * ldt,
real * y, integer * ldy);
extern int slaic1_(integer * job, integer * j, real * x, real * sest,
real * w, real * gamma, real * sestpr, real * s,
real * c__);
extern int slaln2_(logical * ltrans, integer * na, integer * nw, real * smin,
real * ca, real * a, integer * lda, real * d1, real * d2,
real * b, integer * ldb, real * wr, real * wi, real * x,
integer * ldx, real * scale, real * xnorm, integer * info);
extern int slals0_(integer * icompq, integer * nl, integer * nr,
integer * sqre, integer * nrhs, real * b, integer * ldb,
real * bx, integer * ldbx, integer * perm,
integer * givptr, integer * givcol, integer * ldgcol,
real * givnum, integer * ldgnum, real * poles, real * difl,
real * difr, real * z__, integer * k, real * c__, real * s,
real * work, integer * info);
extern int slalsa_(integer * icompq, integer * smlsiz, integer * n,
integer * nrhs, real * b, integer * ldb, real * bx,
integer * ldbx, real * u, integer * ldu, real * vt,
integer * k, real * difl, real * difr, real * z__,
real * poles, integer * givptr, integer * givcol,
integer * ldgcol, integer * perm, real * givnum,
real * c__, real * s, real * work, integer * iwork,
integer * info);
extern int slalsd_(char *uplo, integer * smlsiz, integer * n, integer * nrhs,
real * d__, real * e, real * b, integer * ldb,
real * rcond, integer * rank, real * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern E_f slamch_(char *cmach, ftnlen cmach_len);
extern int slamc1_(integer * beta, integer * t, logical * rnd,
logical * ieee1);
extern int slamc2_(integer * beta, integer * t, logical * rnd, real * eps,
integer * emin, real * rmin, integer * emax, real * rmax);
extern E_f slamc3_(real * a, real * b);
extern int slamc4_(integer * emin, real * start, integer * base);
extern int slamc5_(integer * beta, integer * p, integer * emin,
logical * ieee, integer * emax, real * rmax);
extern int slamrg_(integer * n1, integer * n2, real * a, integer * strd1,
integer * strd2, integer * index);
extern E_f slangb_(char *norm, integer * n, integer * kl, integer * ku,
real * ab, integer * ldab, real * work, ftnlen norm_len);
extern E_f slange_(char *norm, integer * m, integer * n, real * a,
integer * lda, real * work, ftnlen norm_len);
extern E_f slangt_(char *norm, integer * n, real * dl, real * d__, real * du,
ftnlen norm_len);
extern E_f slanhs_(char *norm, integer * n, real * a, integer * lda,
real * work, ftnlen norm_len);
extern E_f slansb_(char *norm, char *uplo, integer * n, integer * k,
real * ab, integer * ldab, real * work, ftnlen norm_len,
ftnlen uplo_len);
extern E_f slansp_(char *norm, char *uplo, integer * n, real * ap,
real * work, ftnlen norm_len, ftnlen uplo_len);
extern E_f slanst_(char *norm, integer * n, real * d__, real * e,
ftnlen norm_len);
extern E_f slansy_(char *norm, char *uplo, integer * n, real * a,
integer * lda, real * work, ftnlen norm_len,
ftnlen uplo_len);
extern E_f slantb_(char *norm, char *uplo, char *diag, integer * n,
integer * k, real * ab, integer * ldab, real * work,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern E_f slantp_(char *norm, char *uplo, char *diag, integer * n, real * ap,
real * work, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern E_f slantr_(char *norm, char *uplo, char *diag, integer * m,
integer * n, real * a, integer * lda, real * work,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int slanv2_(real * a, real * b, real * c__, real * d__, real * rt1r,
real * rt1i, real * rt2r, real * rt2i, real * cs,
real * sn);
extern int slapll_(integer * n, real * x, integer * incx, real * y,
integer * incy, real * ssmin);
extern int slapmt_(logical * forwrd, integer * m, integer * n, real * x,
integer * ldx, integer * k);
extern E_f slapy2_(real * x, real * y);
extern E_f slapy3_(real * x, real * y, real * z__);
extern int slaqgb_(integer * m, integer * n, integer * kl, integer * ku,
real * ab, integer * ldab, real * r__, real * c__,
real * rowcnd, real * colcnd, real * amax, char *equed,
ftnlen equed_len);
extern int slaqge_(integer * m, integer * n, real * a, integer * lda,
real * r__, real * c__, real * rowcnd, real * colcnd,
real * amax, char *equed, ftnlen equed_len);
extern int slaqp2_(integer * m, integer * n, integer * offset, real * a,
integer * lda, integer * jpvt, real * tau, real * vn1,
real * vn2, real * work);
extern int slaqps_(integer * m, integer * n, integer * offset, integer * nb,
integer * kb, real * a, integer * lda, integer * jpvt,
real * tau, real * vn1, real * vn2, real * auxv, real * f,
integer * ldf);
extern int slaqsb_(char *uplo, integer * n, integer * kd, real * ab,
integer * ldab, real * s, real * scond, real * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int slaqsp_(char *uplo, integer * n, real * ap, real * s, real * scond,
real * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int slaqsy_(char *uplo, integer * n, real * a, integer * lda, real * s,
real * scond, real * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int slaqtr_(logical * ltran, logical * lreal, integer * n, real * t,
integer * ldt, real * b, real * w, real * scale, real * x,
real * work, integer * info);
extern int slar1v_(integer * n, integer * b1, integer * bn, real * sigma,
real * d__, real * l, real * ld, real * lld, real * gersch,
real * z__, real * ztz, real * mingma, integer * r__,
integer * isuppz, real * work);
extern int slar2v_(integer * n, real * x, real * y, real * z__,
integer * incx, real * c__, real * s, integer * incc);
extern int slarf_(char *side, integer * m, integer * n, real * v,
integer * incv, real * tau, real * c__, integer * ldc,
real * work, ftnlen side_len);
extern int slarfb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, real * v,
integer * ldv, real * t, integer * ldt, real * c__,
integer * ldc, real * work, integer * ldwork,
ftnlen side_len, ftnlen trans_len, ftnlen direct_len,
ftnlen storev_len);
extern int slarfg_(integer * n, real * alpha, real * x, integer * incx,
real * tau);
extern int slarft_(char *direct, char *storev, integer * n, integer * k,
real * v, integer * ldv, real * tau, real * t,
integer * ldt, ftnlen direct_len, ftnlen storev_len);
extern int slarfx_(char *side, integer * m, integer * n, real * v, real * tau,
real * c__, integer * ldc, real * work, ftnlen side_len);
extern int slargv_(integer * n, real * x, integer * incx, real * y,
integer * incy, real * c__, integer * incc);
extern int slarnv_(integer * idist, integer * iseed, integer * n, real * x);
extern int slarrb_(integer * n, real * d__, real * l, real * ld, real * lld,
integer * ifirst, integer * ilast, real * sigma,
real * reltol, real * w, real * wgap, real * werr,
real * work, integer * iwork, integer * info);
extern int slarre_(integer * n, real * d__, real * e, real * tol,
integer * nsplit, integer * isplit, integer * m, real * w,
real * woff, real * gersch, real * work, integer * info);
extern int slarrf_(integer * n, real * d__, real * l, real * ld, real * lld,
integer * ifirst, integer * ilast, real * w, real * dplus,
real * lplus, real * work, integer * iwork,
integer * info);
extern int slarrv_(integer * n, real * d__, real * l, integer * isplit,
integer * m, real * w, integer * iblock, real * gersch,
real * tol, real * z__, integer * ldz, integer * isuppz,
real * work, integer * iwork, integer * info);
extern int slartg_(real * f, real * g, real * cs, real * sn, real * r__);
extern int slartv_(integer * n, real * x, integer * incx, real * y,
integer * incy, real * c__, real * s, integer * incc);
extern int slaruv_(integer * iseed, integer * n, real * x);
extern int slarz_(char *side, integer * m, integer * n, integer * l, real * v,
integer * incv, real * tau, real * c__, integer * ldc,
real * work, ftnlen side_len);
extern int slarzb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, integer * l,
real * v, integer * ldv, real * t, integer * ldt,
real * c__, integer * ldc, real * work, integer * ldwork,
ftnlen side_len, ftnlen trans_len, ftnlen direct_len,
ftnlen storev_len);
extern int slarzt_(char *direct, char *storev, integer * n, integer * k,
real * v, integer * ldv, real * tau, real * t,
integer * ldt, ftnlen direct_len, ftnlen storev_len);
extern int slas2_(real * f, real * g, real * h__, real * ssmin, real * ssmax);
extern int slascl_(char *type__, integer * kl, integer * ku, real * cfrom,
real * cto, integer * m, integer * n, real * a,
integer * lda, integer * info, ftnlen type_len);
extern int slasd0_(integer * n, integer * sqre, real * d__, real * e,
real * u, integer * ldu, real * vt, integer * ldvt,
integer * smlsiz, integer * iwork, real * work,
integer * info);
extern int slasd1_(integer * nl, integer * nr, integer * sqre, real * d__,
real * alpha, real * beta, real * u, integer * ldu,
real * vt, integer * ldvt, integer * idxq, integer * iwork,
real * work, integer * info);
extern int slasd2_(integer * nl, integer * nr, integer * sqre, integer * k,
real * d__, real * z__, real * alpha, real * beta,
real * u, integer * ldu, real * vt, integer * ldvt,
real * dsigma, real * u2, integer * ldu2, real * vt2,
integer * ldvt2, integer * idxp, integer * idx,
integer * idxc, integer * idxq, integer * coltyp,
integer * info);
extern int slasd3_(integer * nl, integer * nr, integer * sqre, integer * k,
real * d__, real * q, integer * ldq, real * dsigma,
real * u, integer * ldu, real * u2, integer * ldu2,
real * vt, integer * ldvt, real * vt2, integer * ldvt2,
integer * idxc, integer * ctot, real * z__,
integer * info);
extern int slasd4_(integer * n, integer * i__, real * d__, real * z__,
real * delta, real * rho, real * sigma, real * work,
integer * info);
extern int slasd5_(integer * i__, real * d__, real * z__, real * delta,
real * rho, real * dsigma, real * work);
extern int slasd6_(integer * icompq, integer * nl, integer * nr,
integer * sqre, real * d__, real * vf, real * vl,
real * alpha, real * beta, integer * idxq, integer * perm,
integer * givptr, integer * givcol, integer * ldgcol,
real * givnum, integer * ldgnum, real * poles, real * difl,
real * difr, real * z__, integer * k, real * c__, real * s,
real * work, integer * iwork, integer * info);
extern int slasd7_(integer * icompq, integer * nl, integer * nr,
integer * sqre, integer * k, real * d__, real * z__,
real * zw, real * vf, real * vfw, real * vl, real * vlw,
real * alpha, real * beta, real * dsigma, integer * idx,
integer * idxp, integer * idxq, integer * perm,
integer * givptr, integer * givcol, integer * ldgcol,
real * givnum, integer * ldgnum, real * c__, real * s,
integer * info);
extern int slasd8_(integer * icompq, integer * k, real * d__, real * z__,
real * vf, real * vl, real * difl, real * difr,
integer * lddifr, real * dsigma, real * work,
integer * info);
extern int slasd9_(integer * icompq, integer * ldu, integer * k, real * d__,
real * z__, real * vf, real * vl, real * difl, real * difr,
real * dsigma, real * work, integer * info);
extern int slasda_(integer * icompq, integer * smlsiz, integer * n,
integer * sqre, real * d__, real * e, real * u,
integer * ldu, real * vt, integer * k, real * difl,
real * difr, real * z__, real * poles, integer * givptr,
integer * givcol, integer * ldgcol, integer * perm,
real * givnum, real * c__, real * s, real * work,
integer * iwork, integer * info);
extern int slasdq_(char *uplo, integer * sqre, integer * n, integer * ncvt,
integer * nru, integer * ncc, real * d__, real * e,
real * vt, integer * ldvt, real * u, integer * ldu,
real * c__, integer * ldc, real * work, integer * info,
ftnlen uplo_len);
extern int slasdt_(integer * n, integer * lvl, integer * nd, integer * inode,
integer * ndiml, integer * ndimr, integer * msub);
extern int slaset_(char *uplo, integer * m, integer * n, real * alpha,
real * beta, real * a, integer * lda, ftnlen uplo_len);
extern int slasq1_(integer * n, real * d__, real * e, real * work,
integer * info);
extern int slasq2_(integer * n, real * z__, integer * info);
extern int slasq3_(integer * i0, integer * n0, real * z__, integer * pp,
real * dmin__, real * sigma, real * desig, real * qmax,
integer * nfail, integer * iter, integer * ndiv);
extern int slasq4_(integer * i0, integer * n0, real * z__, integer * pp,
integer * n0in, real * dmin__, real * dmin1, real * dmin2,
real * dn, real * dn1, real * dn2, real * tau,
integer * ttype);
extern int slasq5_(integer * i0, integer * n0, real * z__, integer * pp,
real * tau, real * dmin__, real * dmin1, real * dmin2,
real * dn, real * dnm1, real * dnm2);
extern int slasq6_(integer * i0, integer * n0, real * z__, integer * pp,
real * dmin__, real * dmin1, real * dmin2, real * dn,
real * dnm1, real * dnm2);
extern int slasr_(char *side, char *pivot, char *direct, integer * m,
integer * n, real * c__, real * s, real * a, integer * lda,
ftnlen side_len, ftnlen pivot_len, ftnlen direct_len);
extern int slasrt_(char *id, integer * n, real * d__, integer * info,
ftnlen id_len);
extern int slassq_(integer * n, real * x, integer * incx, real * scale,
real * sumsq);
extern int slasv2_(real * f, real * g, real * h__, real * ssmin, real * ssmax,
real * snr, real * csr, real * snl, real * csl);
extern int slaswp_(integer * n, real * a, integer * lda, integer * k1,
integer * k2, integer * ipiv, integer * incx);
extern int slasy2_(logical * ltranl, logical * ltranr, integer * isgn,
integer * n1, integer * n2, real * tl, integer * ldtl,
real * tr, integer * ldtr, real * b, integer * ldb,
real * scale, real * x, integer * ldx, real * xnorm,
integer * info);
extern int slasyf_(char *uplo, integer * n, integer * nb, integer * kb,
real * a, integer * lda, integer * ipiv, real * w,
integer * ldw, integer * info, ftnlen uplo_len);
extern int slatbs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, integer * kd, real * ab, integer * ldab,
real * x, real * scale, real * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int slatdf_(integer * ijob, integer * n, real * z__, integer * ldz,
real * rhs, real * rdsum, real * rdscal, integer * ipiv,
integer * jpiv);
extern int slatps_(char *uplo, char *trans, char *diag, char *normin,
integer * n, real * ap, real * x, real * scale,
real * cnorm, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len, ftnlen normin_len);
extern int slatrd_(char *uplo, integer * n, integer * nb, real * a,
integer * lda, real * e, real * tau, real * w,
integer * ldw, ftnlen uplo_len);
extern int slatrs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, real * a, integer * lda, real * x,
real * scale, real * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int slatrz_(integer * m, integer * n, integer * l, real * a,
integer * lda, real * tau, real * work);
extern int slatzm_(char *side, integer * m, integer * n, real * v,
integer * incv, real * tau, real * c1, real * c2,
integer * ldc, real * work, ftnlen side_len);
extern int slauu2_(char *uplo, integer * n, real * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int slauum_(char *uplo, integer * n, real * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int sopgtr_(char *uplo, integer * n, real * ap, real * tau, real * q,
integer * ldq, real * work, integer * info,
ftnlen uplo_len);
extern int sopmtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, real * ap, real * tau, real * c__,
integer * ldc, real * work, integer * info,
ftnlen side_len, ftnlen uplo_len, ftnlen trans_len);
extern int sorg2l_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * info);
extern int sorg2r_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * info);
extern int sorgbr_(char *vect, integer * m, integer * n, integer * k,
real * a, integer * lda, real * tau, real * work,
integer * lwork, integer * info, ftnlen vect_len);
extern int sorghr_(integer * n, integer * ilo, integer * ihi, real * a,
integer * lda, real * tau, real * work, integer * lwork,
integer * info);
extern int sorgl2_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * info);
extern int sorglq_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * lwork,
integer * info);
extern int sorgql_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * lwork,
integer * info);
extern int sorgqr_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * lwork,
integer * info);
extern int sorgr2_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * info);
extern int sorgrq_(integer * m, integer * n, integer * k, real * a,
integer * lda, real * tau, real * work, integer * lwork,
integer * info);
extern int sorgtr_(char *uplo, integer * n, real * a, integer * lda,
real * tau, real * work, integer * lwork, integer * info,
ftnlen uplo_len);
extern int sorm2l_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int sorm2r_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int sormbr_(char *vect, char *side, char *trans, integer * m,
integer * n, integer * k, real * a, integer * lda,
real * tau, real * c__, integer * ldc, real * work,
integer * lwork, integer * info, ftnlen vect_len,
ftnlen side_len, ftnlen trans_len);
extern int sormhr_(char *side, char *trans, integer * m, integer * n,
integer * ilo, integer * ihi, real * a, integer * lda,
real * tau, real * c__, integer * ldc, real * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int sorml2_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int sormlq_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int sormql_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int sormqr_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int sormr2_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int sormr3_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, real * a, integer * lda,
real * tau, real * c__, integer * ldc, real * work,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int sormrq_(char *side, char *trans, integer * m, integer * n,
integer * k, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int sormrz_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, real * a, integer * lda,
real * tau, real * c__, integer * ldc, real * work,
integer * lwork, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int sormtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, real * a, integer * lda, real * tau,
real * c__, integer * ldc, real * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen uplo_len,
ftnlen trans_len);
extern int spbcon_(char *uplo, integer * n, integer * kd, real * ab,
integer * ldab, real * anorm, real * rcond, real * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int spbequ_(char *uplo, integer * n, integer * kd, real * ab,
integer * ldab, real * s, real * scond, real * amax,
integer * info, ftnlen uplo_len);
extern int spbrfs_(char *uplo, integer * n, integer * kd, integer * nrhs,
real * ab, integer * ldab, real * afb, integer * ldafb,
real * b, integer * ldb, real * x, integer * ldx,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int spbstf_(char *uplo, integer * n, integer * kd, real * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int spbsv_(char *uplo, integer * n, integer * kd, integer * nrhs,
real * ab, integer * ldab, real * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int spbsvx_(char *fact, char *uplo, integer * n, integer * kd,
integer * nrhs, real * ab, integer * ldab, real * afb,
integer * ldafb, char *equed, real * s, real * b,
integer * ldb, real * x, integer * ldx, real * rcond,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len,
ftnlen equed_len);
extern int spbtf2_(char *uplo, integer * n, integer * kd, real * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int spbtrf_(char *uplo, integer * n, integer * kd, real * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int spbtrs_(char *uplo, integer * n, integer * kd, integer * nrhs,
real * ab, integer * ldab, real * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int spocon_(char *uplo, integer * n, real * a, integer * lda,
real * anorm, real * rcond, real * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int spoequ_(integer * n, real * a, integer * lda, real * s,
real * scond, real * amax, integer * info);
extern int sporfs_(char *uplo, integer * n, integer * nrhs, real * a,
integer * lda, real * af, integer * ldaf, real * b,
integer * ldb, real * x, integer * ldx, real * ferr,
real * berr, real * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern int sposv_(char *uplo, integer * n, integer * nrhs, real * a,
integer * lda, real * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int sposvx_(char *fact, char *uplo, integer * n, integer * nrhs,
real * a, integer * lda, real * af, integer * ldaf,
char *equed, real * s, real * b, integer * ldb, real * x,
integer * ldx, real * rcond, real * ferr, real * berr,
real * work, integer * iwork, integer * info,
ftnlen fact_len, ftnlen uplo_len, ftnlen equed_len);
extern int spotf2_(char *uplo, integer * n, real * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int spotrf_(char *uplo, integer * n, real * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int spotri_(char *uplo, integer * n, real * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int spotrs_(char *uplo, integer * n, integer * nrhs, real * a,
integer * lda, real * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int sppcon_(char *uplo, integer * n, real * ap, real * anorm,
real * rcond, real * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern int sppequ_(char *uplo, integer * n, real * ap, real * s, real * scond,
real * amax, integer * info, ftnlen uplo_len);
extern int spprfs_(char *uplo, integer * n, integer * nrhs, real * ap,
real * afp, real * b, integer * ldb, real * x,
integer * ldx, real * ferr, real * berr, real * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int sppsv_(char *uplo, integer * n, integer * nrhs, real * ap,
real * b, integer * ldb, integer * info, ftnlen uplo_len);
extern int sppsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
real * ap, real * afp, char *equed, real * s, real * b,
integer * ldb, real * x, integer * ldx, real * rcond,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len,
ftnlen equed_len);
extern int spptrf_(char *uplo, integer * n, real * ap, integer * info,
ftnlen uplo_len);
extern int spptri_(char *uplo, integer * n, real * ap, integer * info,
ftnlen uplo_len);
extern int spptrs_(char *uplo, integer * n, integer * nrhs, real * ap,
real * b, integer * ldb, integer * info, ftnlen uplo_len);
extern int sptcon_(integer * n, real * d__, real * e, real * anorm,
real * rcond, real * work, integer * info);
extern int spteqr_(char *compz, integer * n, real * d__, real * e, real * z__,
integer * ldz, real * work, integer * info,
ftnlen compz_len);
extern int sptrfs_(integer * n, integer * nrhs, real * d__, real * e,
real * df, real * ef, real * b, integer * ldb, real * x,
integer * ldx, real * ferr, real * berr, real * work,
integer * info);
extern int sptsv_(integer * n, integer * nrhs, real * d__, real * e, real * b,
integer * ldb, integer * info);
extern int sptsvx_(char *fact, integer * n, integer * nrhs, real * d__,
real * e, real * df, real * ef, real * b, integer * ldb,
real * x, integer * ldx, real * rcond, real * ferr,
real * berr, real * work, integer * info, ftnlen fact_len);
extern int spttrf_(integer * n, real * d__, real * e, integer * info);
extern int spttrs_(integer * n, integer * nrhs, real * d__, real * e,
real * b, integer * ldb, integer * info);
extern int sptts2_(integer * n, integer * nrhs, real * d__, real * e,
real * b, integer * ldb);
extern int srscl_(integer * n, real * sa, real * sx, integer * incx);
extern int ssbev_(char *jobz, char *uplo, integer * n, integer * kd,
real * ab, integer * ldab, real * w, real * z__,
integer * ldz, real * work, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int ssbevd_(char *jobz, char *uplo, integer * n, integer * kd,
real * ab, integer * ldab, real * w, real * z__,
integer * ldz, real * work, integer * lwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int ssbevx_(char *jobz, char *range, char *uplo, integer * n,
integer * kd, real * ab, integer * ldab, real * q,
integer * ldq, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
real * z__, integer * ldz, real * work, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int ssbgst_(char *vect, char *uplo, integer * n, integer * ka,
integer * kb, real * ab, integer * ldab, real * bb,
integer * ldbb, real * x, integer * ldx, real * work,
integer * info, ftnlen vect_len, ftnlen uplo_len);
extern int ssbgv_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, real * ab, integer * ldab, real * bb,
integer * ldbb, real * w, real * z__, integer * ldz,
real * work, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int ssbgvd_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, real * ab, integer * ldab, real * bb,
integer * ldbb, real * w, real * z__, integer * ldz,
real * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int ssbgvx_(char *jobz, char *range, char *uplo, integer * n,
integer * ka, integer * kb, real * ab, integer * ldab,
real * bb, integer * ldbb, real * q, integer * ldq,
real * vl, real * vu, integer * il, integer * iu,
real * abstol, integer * m, real * w, real * z__,
integer * ldz, real * work, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int ssbtrd_(char *vect, char *uplo, integer * n, integer * kd,
real * ab, integer * ldab, real * d__, real * e, real * q,
integer * ldq, real * work, integer * info,
ftnlen vect_len, ftnlen uplo_len);
extern int sspcon_(char *uplo, integer * n, real * ap, integer * ipiv,
real * anorm, real * rcond, real * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int sspev_(char *jobz, char *uplo, integer * n, real * ap, real * w,
real * z__, integer * ldz, real * work, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int sspevd_(char *jobz, char *uplo, integer * n, real * ap, real * w,
real * z__, integer * ldz, real * work, integer * lwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int sspevx_(char *jobz, char *range, char *uplo, integer * n,
real * ap, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
real * z__, integer * ldz, real * work, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int sspgst_(integer * itype, char *uplo, integer * n, real * ap,
real * bp, integer * info, ftnlen uplo_len);
extern int sspgv_(integer * itype, char *jobz, char *uplo, integer * n,
real * ap, real * bp, real * w, real * z__, integer * ldz,
real * work, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int sspgvd_(integer * itype, char *jobz, char *uplo, integer * n,
real * ap, real * bp, real * w, real * z__, integer * ldz,
real * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int sspgvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, real * ap, real * bp, real * vl, real * vu,
integer * il, integer * iu, real * abstol, integer * m,
real * w, real * z__, integer * ldz, real * work,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int ssprfs_(char *uplo, integer * n, integer * nrhs, real * ap,
real * afp, integer * ipiv, real * b, integer * ldb,
real * x, integer * ldx, real * ferr, real * berr,
real * work, integer * iwork, integer * info,
ftnlen uplo_len);
extern int sspsv_(char *uplo, integer * n, integer * nrhs, real * ap,
integer * ipiv, real * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int sspsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
real * ap, real * afp, integer * ipiv, real * b,
integer * ldb, real * x, integer * ldx, real * rcond,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int ssptrd_(char *uplo, integer * n, real * ap, real * d__, real * e,
real * tau, integer * info, ftnlen uplo_len);
extern int ssptrf_(char *uplo, integer * n, real * ap, integer * ipiv,
integer * info, ftnlen uplo_len);
extern int ssptri_(char *uplo, integer * n, real * ap, integer * ipiv,
real * work, integer * info, ftnlen uplo_len);
extern int ssptrs_(char *uplo, integer * n, integer * nrhs, real * ap,
integer * ipiv, real * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int sstebz_(char *range, char *order, integer * n, real * vl,
real * vu, integer * il, integer * iu, real * abstol,
real * d__, real * e, integer * m, integer * nsplit,
real * w, integer * iblock, integer * isplit, real * work,
integer * iwork, integer * info, ftnlen range_len,
ftnlen order_len);
extern int sstedc_(char *compz, integer * n, real * d__, real * e, real * z__,
integer * ldz, real * work, integer * lwork,
integer * iwork, integer * liwork, integer * info,
ftnlen compz_len);
extern int sstegr_(char *jobz, char *range, integer * n, real * d__, real * e,
real * vl, real * vu, integer * il, integer * iu,
real * abstol, integer * m, real * w, real * z__,
integer * ldz, integer * isuppz, real * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len);
extern int sstein_(integer * n, real * d__, real * e, integer * m, real * w,
integer * iblock, integer * isplit, real * z__,
integer * ldz, real * work, integer * iwork,
integer * ifail, integer * info);
extern int ssteqr_(char *compz, integer * n, real * d__, real * e, real * z__,
integer * ldz, real * work, integer * info,
ftnlen compz_len);
extern int ssterf_(integer * n, real * d__, real * e, integer * info);
extern int sstev_(char *jobz, integer * n, real * d__, real * e, real * z__,
integer * ldz, real * work, integer * info,
ftnlen jobz_len);
extern int sstevd_(char *jobz, integer * n, real * d__, real * e, real * z__,
integer * ldz, real * work, integer * lwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len);
extern int sstevr_(char *jobz, char *range, integer * n, real * d__, real * e,
real * vl, real * vu, integer * il, integer * iu,
real * abstol, integer * m, real * w, real * z__,
integer * ldz, integer * isuppz, real * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len);
extern int sstevx_(char *jobz, char *range, integer * n, real * d__, real * e,
real * vl, real * vu, integer * il, integer * iu,
real * abstol, integer * m, real * w, real * z__,
integer * ldz, real * work, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len);
extern int ssycon_(char *uplo, integer * n, real * a, integer * lda,
integer * ipiv, real * anorm, real * rcond, real * work,
integer * iwork, integer * info, ftnlen uplo_len);
extern int ssyev_(char *jobz, char *uplo, integer * n, real * a,
integer * lda, real * w, real * work, integer * lwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int ssyevd_(char *jobz, char *uplo, integer * n, real * a,
integer * lda, real * w, real * work, integer * lwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int ssyevr_(char *jobz, char *range, char *uplo, integer * n, real * a,
integer * lda, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
real * z__, integer * ldz, integer * isuppz, real * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int ssyevx_(char *jobz, char *range, char *uplo, integer * n, real * a,
integer * lda, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
real * z__, integer * ldz, real * work, integer * lwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int ssygs2_(integer * itype, char *uplo, integer * n, real * a,
integer * lda, real * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int ssygst_(integer * itype, char *uplo, integer * n, real * a,
integer * lda, real * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int ssygv_(integer * itype, char *jobz, char *uplo, integer * n,
real * a, integer * lda, real * b, integer * ldb, real * w,
real * work, integer * lwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int ssygvd_(integer * itype, char *jobz, char *uplo, integer * n,
real * a, integer * lda, real * b, integer * ldb, real * w,
real * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int ssygvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, real * a, integer * lda, real * b,
integer * ldb, real * vl, real * vu, integer * il,
integer * iu, real * abstol, integer * m, real * w,
real * z__, integer * ldz, real * work, integer * lwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int ssyrfs_(char *uplo, integer * n, integer * nrhs, real * a,
integer * lda, real * af, integer * ldaf, integer * ipiv,
real * b, integer * ldb, real * x, integer * ldx,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen uplo_len);
extern int ssysv_(char *uplo, integer * n, integer * nrhs, real * a,
integer * lda, integer * ipiv, real * b, integer * ldb,
real * work, integer * lwork, integer * info,
ftnlen uplo_len);
extern int ssysvx_(char *fact, char *uplo, integer * n, integer * nrhs,
real * a, integer * lda, real * af, integer * ldaf,
integer * ipiv, real * b, integer * ldb, real * x,
integer * ldx, real * rcond, real * ferr, real * berr,
real * work, integer * lwork, integer * iwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int ssytd2_(char *uplo, integer * n, real * a, integer * lda,
real * d__, real * e, real * tau, integer * info,
ftnlen uplo_len);
extern int ssytf2_(char *uplo, integer * n, real * a, integer * lda,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int ssytrd_(char *uplo, integer * n, real * a, integer * lda,
real * d__, real * e, real * tau, real * work,
integer * lwork, integer * info, ftnlen uplo_len);
extern int ssytrf_(char *uplo, integer * n, real * a, integer * lda,
integer * ipiv, real * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int ssytri_(char *uplo, integer * n, real * a, integer * lda,
integer * ipiv, real * work, integer * info,
ftnlen uplo_len);
extern int ssytrs_(char *uplo, integer * n, integer * nrhs, real * a,
integer * lda, integer * ipiv, real * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int stbcon_(char *norm, char *uplo, char *diag, integer * n,
integer * kd, real * ab, integer * ldab, real * rcond,
real * work, integer * iwork, integer * info,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int stbrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, real * ab, integer * ldab,
real * b, integer * ldb, real * x, integer * ldx,
real * ferr, real * berr, real * work, integer * iwork,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int stbtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, real * ab, integer * ldab,
real * b, integer * ldb, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int stgevc_(char *side, char *howmny, logical * select, integer * n,
real * a, integer * lda, real * b, integer * ldb,
real * vl, integer * ldvl, real * vr, integer * ldvr,
integer * mm, integer * m, real * work, integer * info,
ftnlen side_len, ftnlen howmny_len);
extern int stgex2_(logical * wantq, logical * wantz, integer * n, real * a,
integer * lda, real * b, integer * ldb, real * q,
integer * ldq, real * z__, integer * ldz, integer * j1,
integer * n1, integer * n2, real * work, integer * lwork,
integer * info);
extern int stgexc_(logical * wantq, logical * wantz, integer * n, real * a,
integer * lda, real * b, integer * ldb, real * q,
integer * ldq, real * z__, integer * ldz, integer * ifst,
integer * ilst, real * work, integer * lwork,
integer * info);
extern int stgsen_(integer * ijob, logical * wantq, logical * wantz,
logical * select, integer * n, real * a, integer * lda,
real * b, integer * ldb, real * alphar, real * alphai,
real * beta, real * q, integer * ldq, real * z__,
integer * ldz, integer * m, real * pl, real * pr,
real * dif, real * work, integer * lwork, integer * iwork,
integer * liwork, integer * info);
extern int stgsja_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, integer * k, integer * l,
real * a, integer * lda, real * b, integer * ldb,
real * tola, real * tolb, real * alpha, real * beta,
real * u, integer * ldu, real * v, integer * ldv, real * q,
integer * ldq, real * work, integer * ncycle,
integer * info, ftnlen jobu_len, ftnlen jobv_len,
ftnlen jobq_len);
extern int stgsna_(char *job, char *howmny, logical * select, integer * n,
real * a, integer * lda, real * b, integer * ldb,
real * vl, integer * ldvl, real * vr, integer * ldvr,
real * s, real * dif, integer * mm, integer * m,
real * work, integer * lwork, integer * iwork,
integer * info, ftnlen job_len, ftnlen howmny_len);
extern int stgsy2_(char *trans, integer * ijob, integer * m, integer * n,
real * a, integer * lda, real * b, integer * ldb,
real * c__, integer * ldc, real * d__, integer * ldd,
real * e, integer * lde, real * f, integer * ldf,
real * scale, real * rdsum, real * rdscal, integer * iwork,
integer * pq, integer * info, ftnlen trans_len);
extern int stgsyl_(char *trans, integer * ijob, integer * m, integer * n,
real * a, integer * lda, real * b, integer * ldb,
real * c__, integer * ldc, real * d__, integer * ldd,
real * e, integer * lde, real * f, integer * ldf,
real * scale, real * dif, real * work, integer * lwork,
integer * iwork, integer * info, ftnlen trans_len);
extern int stpcon_(char *norm, char *uplo, char *diag, integer * n, real * ap,
real * rcond, real * work, integer * iwork, integer * info,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int stprfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, real * ap, real * b, integer * ldb,
real * x, integer * ldx, real * ferr, real * berr,
real * work, integer * iwork, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int stptri_(char *uplo, char *diag, integer * n, real * ap,
integer * info, ftnlen uplo_len, ftnlen diag_len);
extern int stptrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, real * ap, real * b, integer * ldb,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int strcon_(char *norm, char *uplo, char *diag, integer * n, real * a,
integer * lda, real * rcond, real * work, integer * iwork,
integer * info, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern int strevc_(char *side, char *howmny, logical * select, integer * n,
real * t, integer * ldt, real * vl, integer * ldvl,
real * vr, integer * ldvr, integer * mm, integer * m,
real * work, integer * info, ftnlen side_len,
ftnlen howmny_len);
extern int strexc_(char *compq, integer * n, real * t, integer * ldt,
real * q, integer * ldq, integer * ifst, integer * ilst,
real * work, integer * info, ftnlen compq_len);
extern int strrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, real * a, integer * lda, real * b,
integer * ldb, real * x, integer * ldx, real * ferr,
real * berr, real * work, integer * iwork, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int strsen_(char *job, char *compq, logical * select, integer * n,
real * t, integer * ldt, real * q, integer * ldq,
real * wr, real * wi, integer * m, real * s, real * sep,
real * work, integer * lwork, integer * iwork,
integer * liwork, integer * info, ftnlen job_len,
ftnlen compq_len);
extern int strsna_(char *job, char *howmny, logical * select, integer * n,
real * t, integer * ldt, real * vl, integer * ldvl,
real * vr, integer * ldvr, real * s, real * sep,
integer * mm, integer * m, real * work, integer * ldwork,
integer * iwork, integer * info, ftnlen job_len,
ftnlen howmny_len);
extern int strsyl_(char *trana, char *tranb, integer * isgn, integer * m,
integer * n, real * a, integer * lda, real * b,
integer * ldb, real * c__, integer * ldc, real * scale,
integer * info, ftnlen trana_len, ftnlen tranb_len);
extern int strti2_(char *uplo, char *diag, integer * n, real * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int strtri_(char *uplo, char *diag, integer * n, real * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int strtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, real * a, integer * lda, real * b,
integer * ldb, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int stzrqf_(integer * m, integer * n, real * a, integer * lda,
real * tau, integer * info);
extern int stzrzf_(integer * m, integer * n, real * a, integer * lda,
real * tau, real * work, integer * lwork, integer * info);
extern int xerbla_(char *srname, integer * info, ftnlen srname_len);
extern int zbdsqr_(char *uplo, integer * n, integer * ncvt, integer * nru,
integer * ncc, doublereal * d__, doublereal * e,
doublecomplex * vt, integer * ldvt, doublecomplex * u,
integer * ldu, doublecomplex * c__, integer * ldc,
doublereal * rwork, integer * info, ftnlen uplo_len);
extern int zdrot_(integer * n, doublecomplex * cx, integer * incx,
doublecomplex * cy, integer * incy, doublereal * c__,
doublereal * s);
extern int zdrscl_(integer * n, doublereal * sa, doublecomplex * sx,
integer * incx);
extern int zgbbrd_(char *vect, integer * m, integer * n, integer * ncc,
integer * kl, integer * ku, doublecomplex * ab,
integer * ldab, doublereal * d__, doublereal * e,
doublecomplex * q, integer * ldq, doublecomplex * pt,
integer * ldpt, doublecomplex * c__, integer * ldc,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen vect_len);
extern int zgbcon_(char *norm, integer * n, integer * kl, integer * ku,
doublecomplex * ab, integer * ldab, integer * ipiv,
doublereal * anorm, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen norm_len);
extern int zgbequ_(integer * m, integer * n, integer * kl, integer * ku,
doublecomplex * ab, integer * ldab, doublereal * r__,
doublereal * c__, doublereal * rowcnd, doublereal * colcnd,
doublereal * amax, integer * info);
extern int zgbrfs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, doublecomplex * ab, integer * ldab,
doublecomplex * afb, integer * ldafb, integer * ipiv,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen trans_len);
extern int zgbsv_(integer * n, integer * kl, integer * ku, integer * nrhs,
doublecomplex * ab, integer * ldab, integer * ipiv,
doublecomplex * b, integer * ldb, integer * info);
extern int zgbsvx_(char *fact, char *trans, integer * n, integer * kl,
integer * ku, integer * nrhs, doublecomplex * ab,
integer * ldab, doublecomplex * afb, integer * ldafb,
integer * ipiv, char *equed, doublereal * r__,
doublereal * c__, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * rcond,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len,
ftnlen trans_len, ftnlen equed_len);
extern int zgbtf2_(integer * m, integer * n, integer * kl, integer * ku,
doublecomplex * ab, integer * ldab, integer * ipiv,
integer * info);
extern int zgbtrf_(integer * m, integer * n, integer * kl, integer * ku,
doublecomplex * ab, integer * ldab, integer * ipiv,
integer * info);
extern int zgbtrs_(char *trans, integer * n, integer * kl, integer * ku,
integer * nrhs, doublecomplex * ab, integer * ldab,
integer * ipiv, doublecomplex * b, integer * ldb,
integer * info, ftnlen trans_len);
extern int zgebak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, doublereal * scale, integer * m,
doublecomplex * v, integer * ldv, integer * info,
ftnlen job_len, ftnlen side_len);
extern int zgebal_(char *job, integer * n, doublecomplex * a, integer * lda,
integer * ilo, integer * ihi, doublereal * scale,
integer * info, ftnlen job_len);
extern int zgebd2_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublereal * d__, doublereal * e, doublecomplex * tauq,
doublecomplex * taup, doublecomplex * work,
integer * info);
extern int zgebrd_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublereal * d__, doublereal * e, doublecomplex * tauq,
doublecomplex * taup, doublecomplex * work,
integer * lwork, integer * info);
extern int zgecon_(char *norm, integer * n, doublecomplex * a, integer * lda,
doublereal * anorm, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen norm_len);
extern int zgeequ_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublereal * r__, doublereal * c__, doublereal * rowcnd,
doublereal * colcnd, doublereal * amax, integer * info);
extern int zgees_(char *jobvs, char *sort, L_fp select, integer * n,
doublecomplex * a, integer * lda, integer * sdim,
doublecomplex * w, doublecomplex * vs, integer * ldvs,
doublecomplex * work, integer * lwork, doublereal * rwork,
logical * bwork, integer * info, ftnlen jobvs_len,
ftnlen sort_len);
extern int zgeesx_(char *jobvs, char *sort, L_fp select, char *sense,
integer * n, doublecomplex * a, integer * lda,
integer * sdim, doublecomplex * w, doublecomplex * vs,
integer * ldvs, doublereal * rconde, doublereal * rcondv,
doublecomplex * work, integer * lwork, doublereal * rwork,
logical * bwork, integer * info, ftnlen jobvs_len,
ftnlen sort_len, ftnlen sense_len);
extern int zgeev_(char *jobvl, char *jobvr, integer * n, doublecomplex * a,
integer * lda, doublecomplex * w, doublecomplex * vl,
integer * ldvl, doublecomplex * vr, integer * ldvr,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * info, ftnlen jobvl_len, ftnlen jobvr_len);
extern int zgeevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * w, doublecomplex * vl, integer * ldvl,
doublecomplex * vr, integer * ldvr, integer * ilo,
integer * ihi, doublereal * scale, doublereal * abnrm,
doublereal * rconde, doublereal * rcondv,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * info, ftnlen balanc_len, ftnlen jobvl_len,
ftnlen jobvr_len, ftnlen sense_len);
extern int zgegs_(char *jobvsl, char *jobvsr, integer * n, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * vsl, integer * ldvsl, doublecomplex * vsr,
integer * ldvsr, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info, ftnlen jobvsl_len,
ftnlen jobvsr_len);
extern int zgegv_(char *jobvl, char *jobvr, integer * n, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * vl, integer * ldvl, doublecomplex * vr,
integer * ldvr, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info, ftnlen jobvl_len,
ftnlen jobvr_len);
extern int zgehd2_(integer * n, integer * ilo, integer * ihi,
doublecomplex * a, integer * lda, doublecomplex * tau,
doublecomplex * work, integer * info);
extern int zgehrd_(integer * n, integer * ilo, integer * ihi,
doublecomplex * a, integer * lda, doublecomplex * tau,
doublecomplex * work, integer * lwork, integer * info);
extern int zgelq2_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * info);
extern int zgelqf_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * lwork,
integer * info);
extern int zgels_(char *trans, integer * m, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * work, integer * lwork,
integer * info, ftnlen trans_len);
extern int zgelsd_(integer * m, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublereal * s, doublereal * rcond,
integer * rank, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * iwork, integer * info);
extern int zgelss_(integer * m, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublereal * s, doublereal * rcond,
integer * rank, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info);
extern int zgelsx_(integer * m, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, integer * jpvt, doublereal * rcond,
integer * rank, doublecomplex * work, doublereal * rwork,
integer * info);
extern int zgelsy_(integer * m, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, integer * jpvt, doublereal * rcond,
integer * rank, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info);
extern int zgeql2_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * info);
extern int zgeqlf_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * lwork,
integer * info);
extern int zgeqp3_(integer * m, integer * n, doublecomplex * a, integer * lda,
integer * jpvt, doublecomplex * tau, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * info);
extern int zgeqpf_(integer * m, integer * n, doublecomplex * a, integer * lda,
integer * jpvt, doublecomplex * tau, doublecomplex * work,
doublereal * rwork, integer * info);
extern int zgeqr2_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * info);
extern int zgeqrf_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * lwork,
integer * info);
extern int zgerfs_(char *trans, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * af,
integer * ldaf, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen trans_len);
extern int zgerq2_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * info);
extern int zgerqf_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * lwork,
integer * info);
extern int zgesc2_(integer * n, doublecomplex * a, integer * lda,
doublecomplex * rhs, integer * ipiv, integer * jpiv,
doublereal * scale);
extern int zgesdd_(char *jobz, integer * m, integer * n, doublecomplex * a,
integer * lda, doublereal * s, doublecomplex * u,
integer * ldu, doublecomplex * vt, integer * ldvt,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * iwork, integer * info, ftnlen jobz_len);
extern int zgesv_(integer * n, integer * nrhs, doublecomplex * a,
integer * lda, integer * ipiv, doublecomplex * b,
integer * ldb, integer * info);
extern int zgesvd_(char *jobu, char *jobvt, integer * m, integer * n,
doublecomplex * a, integer * lda, doublereal * s,
doublecomplex * u, integer * ldu, doublecomplex * vt,
integer * ldvt, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info, ftnlen jobu_len,
ftnlen jobvt_len);
extern int zgesvx_(char *fact, char *trans, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * af,
integer * ldaf, integer * ipiv, char *equed,
doublereal * r__, doublereal * c__, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen fact_len, ftnlen trans_len, ftnlen equed_len);
extern int zgetc2_(integer * n, doublecomplex * a, integer * lda,
integer * ipiv, integer * jpiv, integer * info);
extern int zgetf2_(integer * m, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, integer * info);
extern int zgetrf_(integer * m, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, integer * info);
extern int zgetri_(integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublecomplex * work, integer * lwork,
integer * info);
extern int zgetrs_(char *trans, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, integer * ipiv,
doublecomplex * b, integer * ldb, integer * info,
ftnlen trans_len);
extern int zggbak_(char *job, char *side, integer * n, integer * ilo,
integer * ihi, doublereal * lscale, doublereal * rscale,
integer * m, doublecomplex * v, integer * ldv,
integer * info, ftnlen job_len, ftnlen side_len);
extern int zggbal_(char *job, integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, integer * ilo,
integer * ihi, doublereal * lscale, doublereal * rscale,
doublereal * work, integer * info, ftnlen job_len);
extern int zgges_(char *jobvsl, char *jobvsr, char *sort, L_fp delctg,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, integer * sdim,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * vsl, integer * ldvsl, doublecomplex * vsr,
integer * ldvsr, doublecomplex * work, integer * lwork,
doublereal * rwork, logical * bwork, integer * info,
ftnlen jobvsl_len, ftnlen jobvsr_len, ftnlen sort_len);
extern int zggesx_(char *jobvsl, char *jobvsr, char *sort, L_fp delctg,
char *sense, integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, integer * sdim,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * vsl, integer * ldvsl, doublecomplex * vsr,
integer * ldvsr, doublereal * rconde, doublereal * rcondv,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * iwork, integer * liwork, logical * bwork,
integer * info, ftnlen jobvsl_len, ftnlen jobvsr_len,
ftnlen sort_len, ftnlen sense_len);
extern int zggev_(char *jobvl, char *jobvr, integer * n, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * vl, integer * ldvl, doublecomplex * vr,
integer * ldvr, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info, ftnlen jobvl_len,
ftnlen jobvr_len);
extern int zggevx_(char *balanc, char *jobvl, char *jobvr, char *sense,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, doublecomplex * alpha,
doublecomplex * beta, doublecomplex * vl, integer * ldvl,
doublecomplex * vr, integer * ldvr, integer * ilo,
integer * ihi, doublereal * lscale, doublereal * rscale,
doublereal * abnrm, doublereal * bbnrm,
doublereal * rconde, doublereal * rcondv,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * iwork, logical * bwork, integer * info,
ftnlen balanc_len, ftnlen jobvl_len, ftnlen jobvr_len,
ftnlen sense_len);
extern int zggglm_(integer * n, integer * m, integer * p, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * d__, doublecomplex * x, doublecomplex * y,
doublecomplex * work, integer * lwork, integer * info);
extern int zgghrd_(char *compq, char *compz, integer * n, integer * ilo,
integer * ihi, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, doublecomplex * q,
integer * ldq, doublecomplex * z__, integer * ldz,
integer * info, ftnlen compq_len, ftnlen compz_len);
extern int zgglse_(integer * m, integer * n, integer * p, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * c__, doublecomplex * d__,
doublecomplex * x, doublecomplex * work, integer * lwork,
integer * info);
extern int zggqrf_(integer * n, integer * m, integer * p, doublecomplex * a,
integer * lda, doublecomplex * taua, doublecomplex * b,
integer * ldb, doublecomplex * taub, doublecomplex * work,
integer * lwork, integer * info);
extern int zggrqf_(integer * m, integer * p, integer * n, doublecomplex * a,
integer * lda, doublecomplex * taua, doublecomplex * b,
integer * ldb, doublecomplex * taub, doublecomplex * work,
integer * lwork, integer * info);
extern int zggsvd_(char *jobu, char *jobv, char *jobq, integer * m,
integer * n, integer * p, integer * k, integer * l,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublereal * alpha, doublereal * beta,
doublecomplex * u, integer * ldu, doublecomplex * v,
integer * ldv, doublecomplex * q, integer * ldq,
doublecomplex * work, doublereal * rwork, integer * iwork,
integer * info, ftnlen jobu_len, ftnlen jobv_len,
ftnlen jobq_len);
extern int zggsvp_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, doublereal * tola,
doublereal * tolb, integer * k, integer * l,
doublecomplex * u, integer * ldu, doublecomplex * v,
integer * ldv, doublecomplex * q, integer * ldq,
integer * iwork, doublereal * rwork, doublecomplex * tau,
doublecomplex * work, integer * info, ftnlen jobu_len,
ftnlen jobv_len, ftnlen jobq_len);
extern int zgtcon_(char *norm, integer * n, doublecomplex * dl,
doublecomplex * d__, doublecomplex * du,
doublecomplex * du2, integer * ipiv, doublereal * anorm,
doublereal * rcond, doublecomplex * work, integer * info,
ftnlen norm_len);
extern int zgtrfs_(char *trans, integer * n, integer * nrhs,
doublecomplex * dl, doublecomplex * d__,
doublecomplex * du, doublecomplex * dlf,
doublecomplex * df, doublecomplex * duf,
doublecomplex * du2, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen trans_len);
extern int zgtsv_(integer * n, integer * nrhs, doublecomplex * dl,
doublecomplex * d__, doublecomplex * du, doublecomplex * b,
integer * ldb, integer * info);
extern int zgtsvx_(char *fact, char *trans, integer * n, integer * nrhs,
doublecomplex * dl, doublecomplex * d__,
doublecomplex * du, doublecomplex * dlf,
doublecomplex * df, doublecomplex * duf,
doublecomplex * du2, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen fact_len, ftnlen trans_len);
extern int zgttrf_(integer * n, doublecomplex * dl, doublecomplex * d__,
doublecomplex * du, doublecomplex * du2, integer * ipiv,
integer * info);
extern int zgttrs_(char *trans, integer * n, integer * nrhs,
doublecomplex * dl, doublecomplex * d__,
doublecomplex * du, doublecomplex * du2, integer * ipiv,
doublecomplex * b, integer * ldb, integer * info,
ftnlen trans_len);
extern int zgtts2_(integer * itrans, integer * n, integer * nrhs,
doublecomplex * dl, doublecomplex * d__,
doublecomplex * du, doublecomplex * du2, integer * ipiv,
doublecomplex * b, integer * ldb);
extern int zhbev_(char *jobz, char *uplo, integer * n, integer * kd,
doublecomplex * ab, integer * ldab, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int zhbevd_(char *jobz, char *uplo, integer * n, integer * kd,
doublecomplex * ab, integer * ldab, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zhbevx_(char *jobz, char *range, char *uplo, integer * n,
integer * kd, doublecomplex * ab, integer * ldab,
doublecomplex * q, integer * ldq, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
doublereal * rwork, integer * iwork, integer * ifail,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int zhbgst_(char *vect, char *uplo, integer * n, integer * ka,
integer * kb, doublecomplex * ab, integer * ldab,
doublecomplex * bb, integer * ldbb, doublecomplex * x,
integer * ldx, doublecomplex * work, doublereal * rwork,
integer * info, ftnlen vect_len, ftnlen uplo_len);
extern int zhbgv_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, doublecomplex * ab, integer * ldab,
doublecomplex * bb, integer * ldbb, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int zhbgvd_(char *jobz, char *uplo, integer * n, integer * ka,
integer * kb, doublecomplex * ab, integer * ldab,
doublecomplex * bb, integer * ldbb, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zhbgvx_(char *jobz, char *range, char *uplo, integer * n,
integer * ka, integer * kb, doublecomplex * ab,
integer * ldab, doublecomplex * bb, integer * ldbb,
doublecomplex * q, integer * ldq, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
doublereal * rwork, integer * iwork, integer * ifail,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int zhbtrd_(char *vect, char *uplo, integer * n, integer * kd,
doublecomplex * ab, integer * ldab, doublereal * d__,
doublereal * e, doublecomplex * q, integer * ldq,
doublecomplex * work, integer * info, ftnlen vect_len,
ftnlen uplo_len);
extern int zhecon_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublereal * anorm, doublereal * rcond,
doublecomplex * work, integer * info, ftnlen uplo_len);
extern int zheev_(char *jobz, char *uplo, integer * n, doublecomplex * a,
integer * lda, doublereal * w, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zheevd_(char *jobz, char *uplo, integer * n, doublecomplex * a,
integer * lda, doublereal * w, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zheevr_(char *jobz, char *range, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublecomplex * z__, integer * ldz, integer * isuppz,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * lrwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len,
ftnlen uplo_len);
extern int zheevx_(char *jobz, char *range, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int zhegs2_(integer * itype, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zhegst_(integer * itype, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zhegv_(integer * itype, char *jobz, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublereal * w, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zhegvd_(integer * itype, char *jobz, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublereal * w, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zhegvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, doublereal * vl,
doublereal * vu, integer * il, integer * iu,
doublereal * abstol, integer * m, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int zherfs_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, doublecomplex * af, integer * ldaf,
integer * ipiv, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen uplo_len);
extern int zhesv_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int zhesvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * af,
integer * ldaf, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int zhetd2_(char *uplo, integer * n, doublecomplex * a, integer * lda,
doublereal * d__, doublereal * e, doublecomplex * tau,
integer * info, ftnlen uplo_len);
extern int zhetf2_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int zhetrd_(char *uplo, integer * n, doublecomplex * a, integer * lda,
doublereal * d__, doublereal * e, doublecomplex * tau,
doublecomplex * work, integer * lwork, integer * info,
ftnlen uplo_len);
extern int zhetrf_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublecomplex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int zhetri_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublecomplex * work, integer * info,
ftnlen uplo_len);
extern int zhetrs_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, integer * ipiv, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zhgeqz_(char *job, char *compq, char *compz, integer * n,
integer * ilo, integer * ihi, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * q, integer * ldq, doublecomplex * z__,
integer * ldz, doublecomplex * work, integer * lwork,
doublereal * rwork, integer * info, ftnlen job_len,
ftnlen compq_len, ftnlen compz_len);
extern int zhpcon_(char *uplo, integer * n, doublecomplex * ap,
integer * ipiv, doublereal * anorm, doublereal * rcond,
doublecomplex * work, integer * info, ftnlen uplo_len);
extern int zhpev_(char *jobz, char *uplo, integer * n, doublecomplex * ap,
doublereal * w, doublecomplex * z__, integer * ldz,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zhpevd_(char *jobz, char *uplo, integer * n, doublecomplex * ap,
doublereal * w, doublecomplex * z__, integer * ldz,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * lrwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen uplo_len);
extern int zhpevx_(char *jobz, char *range, char *uplo, integer * n,
doublecomplex * ap, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublecomplex * z__,
integer * ldz, doublecomplex * work, doublereal * rwork,
integer * iwork, integer * ifail, integer * info,
ftnlen jobz_len, ftnlen range_len, ftnlen uplo_len);
extern int zhpgst_(integer * itype, char *uplo, integer * n,
doublecomplex * ap, doublecomplex * bp, integer * info,
ftnlen uplo_len);
extern int zhpgv_(integer * itype, char *jobz, char *uplo, integer * n,
doublecomplex * ap, doublecomplex * bp, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen jobz_len,
ftnlen uplo_len);
extern int zhpgvd_(integer * itype, char *jobz, char *uplo, integer * n,
doublecomplex * ap, doublecomplex * bp, doublereal * w,
doublecomplex * z__, integer * ldz, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen jobz_len, ftnlen uplo_len);
extern int zhpgvx_(integer * itype, char *jobz, char *range, char *uplo,
integer * n, doublecomplex * ap, doublecomplex * bp,
doublereal * vl, doublereal * vu, integer * il,
integer * iu, doublereal * abstol, integer * m,
doublereal * w, doublecomplex * z__, integer * ldz,
doublecomplex * work, doublereal * rwork, integer * iwork,
integer * ifail, integer * info, ftnlen jobz_len,
ftnlen range_len, ftnlen uplo_len);
extern int zhprfs_(char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * afp, integer * ipiv,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zhpsv_(char *uplo, integer * n, integer * nrhs, doublecomplex * ap,
integer * ipiv, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int zhpsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * afp, integer * ipiv,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len);
extern int zhptrd_(char *uplo, integer * n, doublecomplex * ap,
doublereal * d__, doublereal * e, doublecomplex * tau,
integer * info, ftnlen uplo_len);
extern int zhptrf_(char *uplo, integer * n, doublecomplex * ap,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int zhptri_(char *uplo, integer * n, doublecomplex * ap,
integer * ipiv, doublecomplex * work, integer * info,
ftnlen uplo_len);
extern int zhptrs_(char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, integer * ipiv, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zhsein_(char *side, char *eigsrc, char *initv, logical * select,
integer * n, doublecomplex * h__, integer * ldh,
doublecomplex * w, doublecomplex * vl, integer * ldvl,
doublecomplex * vr, integer * ldvr, integer * mm,
integer * m, doublecomplex * work, doublereal * rwork,
integer * ifaill, integer * ifailr, integer * info,
ftnlen side_len, ftnlen eigsrc_len, ftnlen initv_len);
extern int zhseqr_(char *job, char *compz, integer * n, integer * ilo,
integer * ihi, doublecomplex * h__, integer * ldh,
doublecomplex * w, doublecomplex * z__, integer * ldz,
doublecomplex * work, integer * lwork, integer * info,
ftnlen job_len, ftnlen compz_len);
extern int zlabrd_(integer * m, integer * n, integer * nb, doublecomplex * a,
integer * lda, doublereal * d__, doublereal * e,
doublecomplex * tauq, doublecomplex * taup,
doublecomplex * x, integer * ldx, doublecomplex * y,
integer * ldy);
extern int zlacgv_(integer * n, doublecomplex * x, integer * incx);
extern int zlacon_(integer * n, doublecomplex * v, doublecomplex * x,
doublereal * est, integer * kase);
extern int zlacp2_(char *uplo, integer * m, integer * n, doublereal * a,
integer * lda, doublecomplex * b, integer * ldb,
ftnlen uplo_len);
extern int zlacpy_(char *uplo, integer * m, integer * n, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
ftnlen uplo_len);
extern int zlacrm_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublereal * b, integer * ldb, doublecomplex * c__,
integer * ldc, doublereal * rwork);
extern int zlacrt_(integer * n, doublecomplex * cx, integer * incx,
doublecomplex * cy, integer * incy, doublecomplex * c__,
doublecomplex * s);
extern Z_f zladiv_(doublecomplex * ret_val, doublecomplex * x,
doublecomplex * y);
extern int zlaed0_(integer * qsiz, integer * n, doublereal * d__,
doublereal * e, doublecomplex * q, integer * ldq,
doublecomplex * qstore, integer * ldqs, doublereal * rwork,
integer * iwork, integer * info);
extern int zlaed7_(integer * n, integer * cutpnt, integer * qsiz,
integer * tlvls, integer * curlvl, integer * curpbm,
doublereal * d__, doublecomplex * q, integer * ldq,
doublereal * rho, integer * indxq, doublereal * qstore,
integer * qptr, integer * prmptr, integer * perm,
integer * givptr, integer * givcol, doublereal * givnum,
doublecomplex * work, doublereal * rwork, integer * iwork,
integer * info);
extern int zlaed8_(integer * k, integer * n, integer * qsiz,
doublecomplex * q, integer * ldq, doublereal * d__,
doublereal * rho, integer * cutpnt, doublereal * z__,
doublereal * dlamda, doublecomplex * q2, integer * ldq2,
doublereal * w, integer * indxp, integer * indx,
integer * indxq, integer * perm, integer * givptr,
integer * givcol, doublereal * givnum, integer * info);
extern int zlaein_(logical * rightv, logical * noinit, integer * n,
doublecomplex * h__, integer * ldh, doublecomplex * w,
doublecomplex * v, doublecomplex * b, integer * ldb,
doublereal * rwork, doublereal * eps3, doublereal * smlnum,
integer * info);
extern int zlaesy_(doublecomplex * a, doublecomplex * b, doublecomplex * c__,
doublecomplex * rt1, doublecomplex * rt2,
doublecomplex * evscal, doublecomplex * cs1,
doublecomplex * sn1);
extern int zlaev2_(doublecomplex * a, doublecomplex * b, doublecomplex * c__,
doublereal * rt1, doublereal * rt2, doublereal * cs1,
doublecomplex * sn1);
extern int zlags2_(logical * upper, doublereal * a1, doublecomplex * a2,
doublereal * a3, doublereal * b1, doublecomplex * b2,
doublereal * b3, doublereal * csu, doublecomplex * snu,
doublereal * csv, doublecomplex * snv, doublereal * csq,
doublecomplex * snq);
extern int zlagtm_(char *trans, integer * n, integer * nrhs,
doublereal * alpha, doublecomplex * dl,
doublecomplex * d__, doublecomplex * du, doublecomplex * x,
integer * ldx, doublereal * beta, doublecomplex * b,
integer * ldb, ftnlen trans_len);
extern int zlahef_(char *uplo, integer * n, integer * nb, integer * kb,
doublecomplex * a, integer * lda, integer * ipiv,
doublecomplex * w, integer * ldw, integer * info,
ftnlen uplo_len);
extern int zlahqr_(logical * wantt, logical * wantz, integer * n,
integer * ilo, integer * ihi, doublecomplex * h__,
integer * ldh, doublecomplex * w, integer * iloz,
integer * ihiz, doublecomplex * z__, integer * ldz,
integer * info);
extern int zlahrd_(integer * n, integer * k, integer * nb, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * t,
integer * ldt, doublecomplex * y, integer * ldy);
extern int zlaic1_(integer * job, integer * j, doublecomplex * x,
doublereal * sest, doublecomplex * w,
doublecomplex * gamma, doublereal * sestpr,
doublecomplex * s, doublecomplex * c__);
extern int zlals0_(integer * icompq, integer * nl, integer * nr,
integer * sqre, integer * nrhs, doublecomplex * b,
integer * ldb, doublecomplex * bx, integer * ldbx,
integer * perm, integer * givptr, integer * givcol,
integer * ldgcol, doublereal * givnum, integer * ldgnum,
doublereal * poles, doublereal * difl, doublereal * difr,
doublereal * z__, integer * k, doublereal * c__,
doublereal * s, doublereal * rwork, integer * info);
extern int zlalsa_(integer * icompq, integer * smlsiz, integer * n,
integer * nrhs, doublecomplex * b, integer * ldb,
doublecomplex * bx, integer * ldbx, doublereal * u,
integer * ldu, doublereal * vt, integer * k,
doublereal * difl, doublereal * difr, doublereal * z__,
doublereal * poles, integer * givptr, integer * givcol,
integer * ldgcol, integer * perm, doublereal * givnum,
doublereal * c__, doublereal * s, doublereal * rwork,
integer * iwork, integer * info);
extern int zlalsd_(char *uplo, integer * smlsiz, integer * n, integer * nrhs,
doublereal * d__, doublereal * e, doublecomplex * b,
integer * ldb, doublereal * rcond, integer * rank,
doublecomplex * work, doublereal * rwork, integer * iwork,
integer * info, ftnlen uplo_len);
extern doublereal zlangb_(char *norm, integer * n, integer * kl, integer * ku,
doublecomplex * ab, integer * ldab,
doublereal * work, ftnlen norm_len);
extern doublereal zlange_(char *norm, integer * m, integer * n,
doublecomplex * a, integer * lda, doublereal * work,
ftnlen norm_len);
extern doublereal zlangt_(char *norm, integer * n, doublecomplex * dl,
doublecomplex * d__, doublecomplex * du,
ftnlen norm_len);
extern doublereal zlanhb_(char *norm, char *uplo, integer * n, integer * k,
doublecomplex * ab, integer * ldab,
doublereal * work, ftnlen norm_len,
ftnlen uplo_len);
extern doublereal zlanhe_(char *norm, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublereal * work,
ftnlen norm_len, ftnlen uplo_len);
extern doublereal zlanhp_(char *norm, char *uplo, integer * n,
doublecomplex * ap, doublereal * work,
ftnlen norm_len, ftnlen uplo_len);
extern doublereal zlanhs_(char *norm, integer * n, doublecomplex * a,
integer * lda, doublereal * work, ftnlen norm_len);
extern doublereal zlanht_(char *norm, integer * n, doublereal * d__,
doublecomplex * e, ftnlen norm_len);
extern doublereal zlansb_(char *norm, char *uplo, integer * n, integer * k,
doublecomplex * ab, integer * ldab,
doublereal * work, ftnlen norm_len,
ftnlen uplo_len);
extern doublereal zlansp_(char *norm, char *uplo, integer * n,
doublecomplex * ap, doublereal * work,
ftnlen norm_len, ftnlen uplo_len);
extern doublereal zlansy_(char *norm, char *uplo, integer * n,
doublecomplex * a, integer * lda, doublereal * work,
ftnlen norm_len, ftnlen uplo_len);
extern doublereal zlantb_(char *norm, char *uplo, char *diag, integer * n,
integer * k, doublecomplex * ab, integer * ldab,
doublereal * work, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern doublereal zlantp_(char *norm, char *uplo, char *diag, integer * n,
doublecomplex * ap, doublereal * work,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern doublereal zlantr_(char *norm, char *uplo, char *diag, integer * m,
integer * n, doublecomplex * a, integer * lda,
doublereal * work, ftnlen norm_len, ftnlen uplo_len,
ftnlen diag_len);
extern int zlapll_(integer * n, doublecomplex * x, integer * incx,
doublecomplex * y, integer * incy, doublereal * ssmin);
extern int zlapmt_(logical * forwrd, integer * m, integer * n,
doublecomplex * x, integer * ldx, integer * k);
extern int zlaqgb_(integer * m, integer * n, integer * kl, integer * ku,
doublecomplex * ab, integer * ldab, doublereal * r__,
doublereal * c__, doublereal * rowcnd, doublereal * colcnd,
doublereal * amax, char *equed, ftnlen equed_len);
extern int zlaqge_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublereal * r__, doublereal * c__, doublereal * rowcnd,
doublereal * colcnd, doublereal * amax, char *equed,
ftnlen equed_len);
extern int zlaqhb_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, doublereal * s, doublereal * scond,
doublereal * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int zlaqhe_(char *uplo, integer * n, doublecomplex * a, integer * lda,
doublereal * s, doublereal * scond, doublereal * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int zlaqhp_(char *uplo, integer * n, doublecomplex * ap,
doublereal * s, doublereal * scond, doublereal * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int zlaqp2_(integer * m, integer * n, integer * offset,
doublecomplex * a, integer * lda, integer * jpvt,
doublecomplex * tau, doublereal * vn1, doublereal * vn2,
doublecomplex * work);
extern int zlaqps_(integer * m, integer * n, integer * offset, integer * nb,
integer * kb, doublecomplex * a, integer * lda,
integer * jpvt, doublecomplex * tau, doublereal * vn1,
doublereal * vn2, doublecomplex * auxv, doublecomplex * f,
integer * ldf);
extern int zlaqsb_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, doublereal * s, doublereal * scond,
doublereal * amax, char *equed, ftnlen uplo_len,
ftnlen equed_len);
extern int zlaqsp_(char *uplo, integer * n, doublecomplex * ap,
doublereal * s, doublereal * scond, doublereal * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int zlaqsy_(char *uplo, integer * n, doublecomplex * a, integer * lda,
doublereal * s, doublereal * scond, doublereal * amax,
char *equed, ftnlen uplo_len, ftnlen equed_len);
extern int zlar1v_(integer * n, integer * b1, integer * bn,
doublereal * sigma, doublereal * d__, doublereal * l,
doublereal * ld, doublereal * lld, doublereal * gersch,
doublecomplex * z__, doublereal * ztz, doublereal * mingma,
integer * r__, integer * isuppz, doublereal * work);
extern int zlar2v_(integer * n, doublecomplex * x, doublecomplex * y,
doublecomplex * z__, integer * incx, doublereal * c__,
doublecomplex * s, integer * incc);
extern int zlarcm_(integer * m, integer * n, doublereal * a, integer * lda,
doublecomplex * b, integer * ldb, doublecomplex * c__,
integer * ldc, doublereal * rwork);
extern int zlarf_(char *side, integer * m, integer * n, doublecomplex * v,
integer * incv, doublecomplex * tau, doublecomplex * c__,
integer * ldc, doublecomplex * work, ftnlen side_len);
extern int zlarfb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, doublecomplex * v,
integer * ldv, doublecomplex * t, integer * ldt,
doublecomplex * c__, integer * ldc, doublecomplex * work,
integer * ldwork, ftnlen side_len, ftnlen trans_len,
ftnlen direct_len, ftnlen storev_len);
extern int zlarfg_(integer * n, doublecomplex * alpha, doublecomplex * x,
integer * incx, doublecomplex * tau);
extern int zlarft_(char *direct, char *storev, integer * n, integer * k,
doublecomplex * v, integer * ldv, doublecomplex * tau,
doublecomplex * t, integer * ldt, ftnlen direct_len,
ftnlen storev_len);
extern int zlarfx_(char *side, integer * m, integer * n, doublecomplex * v,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, ftnlen side_len);
extern int zlargv_(integer * n, doublecomplex * x, integer * incx,
doublecomplex * y, integer * incy, doublereal * c__,
integer * incc);
extern int zlarnv_(integer * idist, integer * iseed, integer * n,
doublecomplex * x);
extern int zlarrv_(integer * n, doublereal * d__, doublereal * l,
integer * isplit, integer * m, doublereal * w,
integer * iblock, doublereal * gersch, doublereal * tol,
doublecomplex * z__, integer * ldz, integer * isuppz,
doublereal * work, integer * iwork, integer * info);
extern int zlartg_(doublecomplex * f, doublecomplex * g, doublereal * cs,
doublecomplex * sn, doublecomplex * r__);
extern int zlartv_(integer * n, doublecomplex * x, integer * incx,
doublecomplex * y, integer * incy, doublereal * c__,
doublecomplex * s, integer * incc);
extern int zlarz_(char *side, integer * m, integer * n, integer * l,
doublecomplex * v, integer * incv, doublecomplex * tau,
doublecomplex * c__, integer * ldc, doublecomplex * work,
ftnlen side_len);
extern int zlarzb_(char *side, char *trans, char *direct, char *storev,
integer * m, integer * n, integer * k, integer * l,
doublecomplex * v, integer * ldv, doublecomplex * t,
integer * ldt, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * ldwork, ftnlen side_len,
ftnlen trans_len, ftnlen direct_len, ftnlen storev_len);
extern int zlarzt_(char *direct, char *storev, integer * n, integer * k,
doublecomplex * v, integer * ldv, doublecomplex * tau,
doublecomplex * t, integer * ldt, ftnlen direct_len,
ftnlen storev_len);
extern int zlascl_(char *type__, integer * kl, integer * ku,
doublereal * cfrom, doublereal * cto, integer * m,
integer * n, doublecomplex * a, integer * lda,
integer * info, ftnlen type_len);
extern int zlaset_(char *uplo, integer * m, integer * n,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * a, integer * lda, ftnlen uplo_len);
extern int zlasr_(char *side, char *pivot, char *direct, integer * m,
integer * n, doublereal * c__, doublereal * s,
doublecomplex * a, integer * lda, ftnlen side_len,
ftnlen pivot_len, ftnlen direct_len);
extern int zlassq_(integer * n, doublecomplex * x, integer * incx,
doublereal * scale, doublereal * sumsq);
extern int zlaswp_(integer * n, doublecomplex * a, integer * lda,
integer * k1, integer * k2, integer * ipiv,
integer * incx);
extern int zlasyf_(char *uplo, integer * n, integer * nb, integer * kb,
doublecomplex * a, integer * lda, integer * ipiv,
doublecomplex * w, integer * ldw, integer * info,
ftnlen uplo_len);
extern int zlatbs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, integer * kd, doublecomplex * ab,
integer * ldab, doublecomplex * x, doublereal * scale,
doublereal * cnorm, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len, ftnlen normin_len);
extern int zlatdf_(integer * ijob, integer * n, doublecomplex * z__,
integer * ldz, doublecomplex * rhs, doublereal * rdsum,
doublereal * rdscal, integer * ipiv, integer * jpiv);
extern int zlatps_(char *uplo, char *trans, char *diag, char *normin,
integer * n, doublecomplex * ap, doublecomplex * x,
doublereal * scale, doublereal * cnorm, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len,
ftnlen normin_len);
extern int zlatrd_(char *uplo, integer * n, integer * nb, doublecomplex * a,
integer * lda, doublereal * e, doublecomplex * tau,
doublecomplex * w, integer * ldw, ftnlen uplo_len);
extern int zlatrs_(char *uplo, char *trans, char *diag, char *normin,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * x, doublereal * scale, doublereal * cnorm,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len, ftnlen normin_len);
extern int zlatrz_(integer * m, integer * n, integer * l, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work);
extern int zlatzm_(char *side, integer * m, integer * n, doublecomplex * v,
integer * incv, doublecomplex * tau, doublecomplex * c1,
doublecomplex * c2, integer * ldc, doublecomplex * work,
ftnlen side_len);
extern int zlauu2_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int zlauum_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int zpbcon_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, doublereal * anorm, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zpbequ_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, doublereal * s, doublereal * scond,
doublereal * amax, integer * info, ftnlen uplo_len);
extern int zpbrfs_(char *uplo, integer * n, integer * kd, integer * nrhs,
doublecomplex * ab, integer * ldab, doublecomplex * afb,
integer * ldafb, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen uplo_len);
extern int zpbstf_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int zpbsv_(char *uplo, integer * n, integer * kd, integer * nrhs,
doublecomplex * ab, integer * ldab, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zpbsvx_(char *fact, char *uplo, integer * n, integer * kd,
integer * nrhs, doublecomplex * ab, integer * ldab,
doublecomplex * afb, integer * ldafb, char *equed,
doublereal * s, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * rcond,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int zpbtf2_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int zpbtrf_(char *uplo, integer * n, integer * kd, doublecomplex * ab,
integer * ldab, integer * info, ftnlen uplo_len);
extern int zpbtrs_(char *uplo, integer * n, integer * kd, integer * nrhs,
doublecomplex * ab, integer * ldab, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zpocon_(char *uplo, integer * n, doublecomplex * a, integer * lda,
doublereal * anorm, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zpoequ_(integer * n, doublecomplex * a, integer * lda,
doublereal * s, doublereal * scond, doublereal * amax,
integer * info);
extern int zporfs_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, doublecomplex * af, integer * ldaf,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zposv_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int zposvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * af,
integer * ldaf, char *equed, doublereal * s,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int zpotf2_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int zpotrf_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int zpotri_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * info, ftnlen uplo_len);
extern int zpotrs_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int zppcon_(char *uplo, integer * n, doublecomplex * ap,
doublereal * anorm, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zppequ_(char *uplo, integer * n, doublecomplex * ap,
doublereal * s, doublereal * scond, doublereal * amax,
integer * info, ftnlen uplo_len);
extern int zpprfs_(char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * afp, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen uplo_len);
extern int zppsv_(char *uplo, integer * n, integer * nrhs, doublecomplex * ap,
doublecomplex * b, integer * ldb, integer * info,
ftnlen uplo_len);
extern int zppsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * afp, char *equed,
doublereal * s, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * rcond,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len, ftnlen equed_len);
extern int zpptrf_(char *uplo, integer * n, doublecomplex * ap,
integer * info, ftnlen uplo_len);
extern int zpptri_(char *uplo, integer * n, doublecomplex * ap,
integer * info, ftnlen uplo_len);
extern int zpptrs_(char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int zptcon_(integer * n, doublereal * d__, doublecomplex * e,
doublereal * anorm, doublereal * rcond, doublereal * rwork,
integer * info);
extern int zpteqr_(char *compz, integer * n, doublereal * d__, doublereal * e,
doublecomplex * z__, integer * ldz, doublereal * work,
integer * info, ftnlen compz_len);
extern int zptrfs_(char *uplo, integer * n, integer * nrhs, doublereal * d__,
doublecomplex * e, doublereal * df, doublecomplex * ef,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zptsv_(integer * n, integer * nrhs, doublereal * d__,
doublecomplex * e, doublecomplex * b, integer * ldb,
integer * info);
extern int zptsvx_(char *fact, integer * n, integer * nrhs, doublereal * d__,
doublecomplex * e, doublereal * df, doublecomplex * ef,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len);
extern int zpttrf_(integer * n, doublereal * d__, doublecomplex * e,
integer * info);
extern int zpttrs_(char *uplo, integer * n, integer * nrhs, doublereal * d__,
doublecomplex * e, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int zptts2_(integer * iuplo, integer * n, integer * nrhs,
doublereal * d__, doublecomplex * e, doublecomplex * b,
integer * ldb);
extern int zrot_(integer * n, doublecomplex * cx, integer * incx,
doublecomplex * cy, integer * incy, doublereal * c__,
doublecomplex * s);
extern int zspcon_(char *uplo, integer * n, doublecomplex * ap,
integer * ipiv, doublereal * anorm, doublereal * rcond,
doublecomplex * work, integer * info, ftnlen uplo_len);
extern int zspmv_(char *uplo, integer * n, doublecomplex * alpha,
doublecomplex * ap, doublecomplex * x, integer * incx,
doublecomplex * beta, doublecomplex * y, integer * incy,
ftnlen uplo_len);
extern int zspr_(char *uplo, integer * n, doublecomplex * alpha,
doublecomplex * x, integer * incx, doublecomplex * ap,
ftnlen uplo_len);
extern int zsprfs_(char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * afp, integer * ipiv,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len);
extern int zspsv_(char *uplo, integer * n, integer * nrhs, doublecomplex * ap,
integer * ipiv, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len);
extern int zspsvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, doublecomplex * afp, integer * ipiv,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * rcond, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen fact_len,
ftnlen uplo_len);
extern int zsptrf_(char *uplo, integer * n, doublecomplex * ap,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int zsptri_(char *uplo, integer * n, doublecomplex * ap,
integer * ipiv, doublecomplex * work, integer * info,
ftnlen uplo_len);
extern int zsptrs_(char *uplo, integer * n, integer * nrhs,
doublecomplex * ap, integer * ipiv, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int zstedc_(char *compz, integer * n, doublereal * d__, doublereal * e,
doublecomplex * z__, integer * ldz, doublecomplex * work,
integer * lwork, doublereal * rwork, integer * lrwork,
integer * iwork, integer * liwork, integer * info,
ftnlen compz_len);
extern int zstegr_(char *jobz, char *range, integer * n, doublereal * d__,
doublereal * e, doublereal * vl, doublereal * vu,
integer * il, integer * iu, doublereal * abstol,
integer * m, doublereal * w, doublecomplex * z__,
integer * ldz, integer * isuppz, doublereal * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info, ftnlen jobz_len, ftnlen range_len);
extern int zstein_(integer * n, doublereal * d__, doublereal * e, integer * m,
doublereal * w, integer * iblock, integer * isplit,
doublecomplex * z__, integer * ldz, doublereal * work,
integer * iwork, integer * ifail, integer * info);
extern int zsteqr_(char *compz, integer * n, doublereal * d__, doublereal * e,
doublecomplex * z__, integer * ldz, doublereal * work,
integer * info, ftnlen compz_len);
extern int zsycon_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublereal * anorm, doublereal * rcond,
doublecomplex * work, integer * info, ftnlen uplo_len);
extern int zsymv_(char *uplo, integer * n, doublecomplex * alpha,
doublecomplex * a, integer * lda, doublecomplex * x,
integer * incx, doublecomplex * beta, doublecomplex * y,
integer * incy, ftnlen uplo_len);
extern int zsyr_(char *uplo, integer * n, doublecomplex * alpha,
doublecomplex * x, integer * incx, doublecomplex * a,
integer * lda, ftnlen uplo_len);
extern int zsyrfs_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, doublecomplex * af, integer * ldaf,
integer * ipiv, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen uplo_len);
extern int zsysv_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int zsysvx_(char *fact, char *uplo, integer * n, integer * nrhs,
doublecomplex * a, integer * lda, doublecomplex * af,
integer * ldaf, integer * ipiv, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * rcond, doublereal * ferr, doublereal * berr,
doublecomplex * work, integer * lwork, doublereal * rwork,
integer * info, ftnlen fact_len, ftnlen uplo_len);
extern int zsytf2_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, integer * info, ftnlen uplo_len);
extern int zsytrf_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublecomplex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int zsytri_(char *uplo, integer * n, doublecomplex * a, integer * lda,
integer * ipiv, doublecomplex * work, integer * info,
ftnlen uplo_len);
extern int zsytrs_(char *uplo, integer * n, integer * nrhs, doublecomplex * a,
integer * lda, integer * ipiv, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len);
extern int ztbcon_(char *norm, char *uplo, char *diag, integer * n,
integer * kd, doublecomplex * ab, integer * ldab,
doublereal * rcond, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen norm_len,
ftnlen uplo_len, ftnlen diag_len);
extern int ztbrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, doublecomplex * ab,
integer * ldab, doublecomplex * b, integer * ldb,
doublecomplex * x, integer * ldx, doublereal * ferr,
doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int ztbtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * kd, integer * nrhs, doublecomplex * ab,
integer * ldab, doublecomplex * b, integer * ldb,
integer * info, ftnlen uplo_len, ftnlen trans_len,
ftnlen diag_len);
extern int ztgevc_(char *side, char *howmny, logical * select, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * vl, integer * ldvl,
doublecomplex * vr, integer * ldvr, integer * mm,
integer * m, doublecomplex * work, doublereal * rwork,
integer * info, ftnlen side_len, ftnlen howmny_len);
extern int ztgex2_(logical * wantq, logical * wantz, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * q, integer * ldq,
doublecomplex * z__, integer * ldz, integer * j1,
integer * info);
extern int ztgexc_(logical * wantq, logical * wantz, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * q, integer * ldq,
doublecomplex * z__, integer * ldz, integer * ifst,
integer * ilst, integer * info);
extern int ztgsen_(integer * ijob, logical * wantq, logical * wantz,
logical * select, integer * n, doublecomplex * a,
integer * lda, doublecomplex * b, integer * ldb,
doublecomplex * alpha, doublecomplex * beta,
doublecomplex * q, integer * ldq, doublecomplex * z__,
integer * ldz, integer * m, doublereal * pl,
doublereal * pr, doublereal * dif, doublecomplex * work,
integer * lwork, integer * iwork, integer * liwork,
integer * info);
extern int ztgsja_(char *jobu, char *jobv, char *jobq, integer * m,
integer * p, integer * n, integer * k, integer * l,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublereal * tola, doublereal * tolb,
doublereal * alpha, doublereal * beta, doublecomplex * u,
integer * ldu, doublecomplex * v, integer * ldv,
doublecomplex * q, integer * ldq, doublecomplex * work,
integer * ncycle, integer * info, ftnlen jobu_len,
ftnlen jobv_len, ftnlen jobq_len);
extern int ztgsna_(char *job, char *howmny, logical * select, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * vl, integer * ldvl,
doublecomplex * vr, integer * ldvr, doublereal * s,
doublereal * dif, integer * mm, integer * m,
doublecomplex * work, integer * lwork, integer * iwork,
integer * info, ftnlen job_len, ftnlen howmny_len);
extern int ztgsy2_(char *trans, integer * ijob, integer * m, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * c__, integer * ldc,
doublecomplex * d__, integer * ldd, doublecomplex * e,
integer * lde, doublecomplex * f, integer * ldf,
doublereal * scale, doublereal * rdsum,
doublereal * rdscal, integer * info, ftnlen trans_len);
extern int ztgsyl_(char *trans, integer * ijob, integer * m, integer * n,
doublecomplex * a, integer * lda, doublecomplex * b,
integer * ldb, doublecomplex * c__, integer * ldc,
doublecomplex * d__, integer * ldd, doublecomplex * e,
integer * lde, doublecomplex * f, integer * ldf,
doublereal * scale, doublereal * dif, doublecomplex * work,
integer * lwork, integer * iwork, integer * info,
ftnlen trans_len);
extern int ztpcon_(char *norm, char *uplo, char *diag, integer * n,
doublecomplex * ap, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int ztprfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublecomplex * ap, doublecomplex * b,
integer * ldb, doublecomplex * x, integer * ldx,
doublereal * ferr, doublereal * berr, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int ztptri_(char *uplo, char *diag, integer * n, doublecomplex * ap,
integer * info, ftnlen uplo_len, ftnlen diag_len);
extern int ztptrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublecomplex * ap, doublecomplex * b,
integer * ldb, integer * info, ftnlen uplo_len,
ftnlen trans_len, ftnlen diag_len);
extern int ztrcon_(char *norm, char *uplo, char *diag, integer * n,
doublecomplex * a, integer * lda, doublereal * rcond,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen norm_len, ftnlen uplo_len, ftnlen diag_len);
extern int ztrevc_(char *side, char *howmny, logical * select, integer * n,
doublecomplex * t, integer * ldt, doublecomplex * vl,
integer * ldvl, doublecomplex * vr, integer * ldvr,
integer * mm, integer * m, doublecomplex * work,
doublereal * rwork, integer * info, ftnlen side_len,
ftnlen howmny_len);
extern int ztrexc_(char *compq, integer * n, doublecomplex * t, integer * ldt,
doublecomplex * q, integer * ldq, integer * ifst,
integer * ilst, integer * info, ftnlen compq_len);
extern int ztrrfs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, doublecomplex * x,
integer * ldx, doublereal * ferr, doublereal * berr,
doublecomplex * work, doublereal * rwork, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int ztrsen_(char *job, char *compq, logical * select, integer * n,
doublecomplex * t, integer * ldt, doublecomplex * q,
integer * ldq, doublecomplex * w, integer * m,
doublereal * s, doublereal * sep, doublecomplex * work,
integer * lwork, integer * info, ftnlen job_len,
ftnlen compq_len);
extern int ztrsna_(char *job, char *howmny, logical * select, integer * n,
doublecomplex * t, integer * ldt, doublecomplex * vl,
integer * ldvl, doublecomplex * vr, integer * ldvr,
doublereal * s, doublereal * sep, integer * mm,
integer * m, doublecomplex * work, integer * ldwork,
doublereal * rwork, integer * info, ftnlen job_len,
ftnlen howmny_len);
extern int ztrsyl_(char *trana, char *tranb, integer * isgn, integer * m,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, doublecomplex * c__,
integer * ldc, doublereal * scale, integer * info,
ftnlen trana_len, ftnlen tranb_len);
extern int ztrti2_(char *uplo, char *diag, integer * n, doublecomplex * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int ztrtri_(char *uplo, char *diag, integer * n, doublecomplex * a,
integer * lda, integer * info, ftnlen uplo_len,
ftnlen diag_len);
extern int ztrtrs_(char *uplo, char *trans, char *diag, integer * n,
integer * nrhs, doublecomplex * a, integer * lda,
doublecomplex * b, integer * ldb, integer * info,
ftnlen uplo_len, ftnlen trans_len, ftnlen diag_len);
extern int ztzrqf_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, integer * info);
extern int ztzrzf_(integer * m, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * lwork,
integer * info);
extern int zung2l_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * info);
extern int zung2r_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * info);
extern int zungbr_(char *vect, integer * m, integer * n, integer * k,
doublecomplex * a, integer * lda, doublecomplex * tau,
doublecomplex * work, integer * lwork, integer * info,
ftnlen vect_len);
extern int zunghr_(integer * n, integer * ilo, integer * ihi,
doublecomplex * a, integer * lda, doublecomplex * tau,
doublecomplex * work, integer * lwork, integer * info);
extern int zungl2_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * info);
extern int zunglq_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * lwork, integer * info);
extern int zungql_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * lwork, integer * info);
extern int zungqr_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * lwork, integer * info);
extern int zungr2_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * info);
extern int zungrq_(integer * m, integer * n, integer * k, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * work,
integer * lwork, integer * info);
extern int zungtr_(char *uplo, integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * work, integer * lwork,
integer * info, ftnlen uplo_len);
extern int zunm2l_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int zunm2r_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int zunmbr_(char *vect, char *side, char *trans, integer * m,
integer * n, integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen vect_len, ftnlen side_len, ftnlen trans_len);
extern int zunmhr_(char *side, char *trans, integer * m, integer * n,
integer * ilo, integer * ihi, doublecomplex * a,
integer * lda, doublecomplex * tau, doublecomplex * c__,
integer * ldc, doublecomplex * work, integer * lwork,
integer * info, ftnlen side_len, ftnlen trans_len);
extern int zunml2_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int zunmlq_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int zunmql_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int zunmqr_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int zunmr2_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int zunmr3_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * info, ftnlen side_len,
ftnlen trans_len);
extern int zunmrq_(char *side, char *trans, integer * m, integer * n,
integer * k, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int zunmrz_(char *side, char *trans, integer * m, integer * n,
integer * k, integer * l, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen trans_len);
extern int zunmtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, doublecomplex * a, integer * lda,
doublecomplex * tau, doublecomplex * c__, integer * ldc,
doublecomplex * work, integer * lwork, integer * info,
ftnlen side_len, ftnlen uplo_len, ftnlen trans_len);
extern int zupgtr_(char *uplo, integer * n, doublecomplex * ap,
doublecomplex * tau, doublecomplex * q, integer * ldq,
doublecomplex * work, integer * info, ftnlen uplo_len);
extern int zupmtr_(char *side, char *uplo, char *trans, integer * m,
integer * n, doublecomplex * ap, doublecomplex * tau,
doublecomplex * c__, integer * ldc, doublecomplex * work,
integer * info, ftnlen side_len, ftnlen uplo_len,
ftnlen trans_len);
#endif
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