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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 | @string{TOMS = "{ACM} Trans. Math. Softw."}
@string{SIMAX = "{SIAM} J. Matrix Anal. Applic."}
@string{SIAMJSC = "{SIAM} J. Sci. Comput."}
@string{SIAMJSSC = "{SIAM} J. Sci. Statist. Comput."}
@article{AmestoyDavisDuff96,
author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
title={An approximate minimum degree ordering algorithm},
journal=SIMAX,
year={1996}
,volume={17}
,number={4}
,pages={886-905}
}
@article{AmestoyDavisDuff03,
author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
title={Algorithm 837: {AMD}, an approximate minimum degree ordering algorithm},
journal=TOMS,
year={2004}
,volume={30}
,number={3}
,pages={381-388}}
@article{Davis05,
author={Davis, T. A},
title={Algorithm 849: a concise sparse Cholesky factorization package},
journal=TOMS,
year={2005},
volume={31},
number={4},
pages={587--591}
}
@article{GeorgeLiu79,
author={George, A. and Liu, J. W. H.},
month={Jun.},
year={1979},
title={The Design of a User Interface for a Sparse Matrix Package},
journal=TOMS,
annote={f},
volume={5},
number={2},
pages={139-162},
keywords={software user interface SPARSPAK}}
@book{GeorgeLiu,
author={George, A. and Liu, J. W. H.},
year={1981},
title={Computer Solution of Large Sparse Positive Definite Systems},
address={Englewood Cliffs, New Jersey},
publisher={Prentice-Hall},
keywords={ positive definite systems},
annote={sh}
}
@article{GilbertMolerSchreiber,
author={Gilbert, J. R. and Moler, C. and Schreiber, R.},
title={Sparse matrices in {MATLAB}: design and implementation},
journal=SIMAX,
year={1992}
,volume={13}
,number={1}
,pages={333-356}
,annote={f}
}
@article{GilbertNgPeyton94,
author={Gilbert, J. R. and Ng, E. G. and Peyton, B. W.},
title={An efficient algorithm to compute row and column counts for sparse {C}holesky factorization},
journal=SIMAX,
year={1994}
,volume={15}
,number={4}
,pages={1075-1091}
,annote={f}
}
@article{GilbertPeierls88,
author={Gilbert, J. R. and Peierls, T.},
year={1988},
title={Sparse Partial Pivoting in Time Proportional to Arithmetic Operations},
journal=SIAMJSSC,
annote={f},
volume={9},
pages={862-874},
keywords={316 partial pivoting, graph algorithms}}
@article{Liu86c,
author={Liu, J. W. H.},
month={Jun.},
year={1986},
title={A Compact Row Storage Scheme for {C}holesky Factors Using Elimination Trees},
journal=TOMS,
volume={12},
number={2},
pages={127-148},
annote={f. previously Report CS-84-02, Dept. Computer Science, York University (1984)}}
@article{Liu90a,
author={Liu, J. W. H.},
title={The Role of Elimination Trees in Sparse Factorization},
journal=SIMAX,
year={1990}
,volume={11}
,number={1}
,pages={134-172}
,annote={f}
}
@article{Liu91,
author={Liu, J. W. H.},
title={A generalized envelope method for sparse factorization by rows},
journal=TOMS,
year={1991}
,volume={17}
,number={1}
,pages={112-129}
,annote={f}
}
@article{NgPeyton93,
author={Ng, E. G. and Peyton, B. W.},
title={A supernodal {Cholesky} factorization algorithm for shared-memory multiprocessors},
journal=SIAMJSC,
year={1993}
,volume={14}
,pages={761-769}
,annote={f}
}
@article{RothbergGupta91,
author={Rothberg, E. and Gupta, A.},
title={Efficient sparse matrix factorization on high-performance workstations - {E}xploiting the memory hierarchy},
journal=TOMS,
year={1991}
,volume={17}
,number={3}
,pages={313-334}
,annote={f}
}
@techreport{Stewart03,
author={Stewart, G. W.},
title={Building an old-fashioned sparse solver},
institution={Univ. Maryland (www.umd.cs.edu/$\sim$stewart)},
year={2003}
,annote={f}
}
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