/usr/include/sdpa_jordan.h is in libsdpa-dev 7.3.11+dfsg-1ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 | /* -------------------------------------------------------------
This file is a component of SDPA
Copyright (C) 2004-2017 SDPA Project
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
------------------------------------------------------------- */
#ifndef __sdpa_jordan_h__
#define __sdpa_jordan_h__
#include "sdpa_struct.h"
namespace sdpa {
class WorkVariables;
class Jal
{
public:
static double trace(DenseLinearSpace& aMat);
// calculate the minimum eigen value of lMat*xMat*(lMat^T)
// by Lanczos methods.
// lMat is lower triangular, xMat is symmetric
// block size > 20 : Lanczos method
// block size <= 20 : QR method
static double getMinEigen(DenseLinearSpace& lMat,
DenseLinearSpace& xMat,
WorkVariables& work);
// calculate the minimum eigen value of xMat by QR method.
static double getMinEigen(DenseLinearSpace& xMat,
WorkVariables& work);
static bool getInvChol(DenseLinearSpace& invCholMat,
DenseLinearSpace& aMat,
DenseLinearSpace& workMat);
static bool getInvCholAndInv(DenseLinearSpace& invCholMat,
DenseLinearSpace& inverseMat,
DenseLinearSpace& aMat,
DenseLinearSpace& workMat);
static bool multiply(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
DenseLinearSpace& bMat,
double* scalar = NULL);
#if 0
// CAUTION!!! We don't initialize retMat to zero matrix for efficiently.
static bool multiply(DenseLinearSpace& retMat,
SparseLinearSpace& aMat,
DenseLinearSpace& bMat,
double* scalar = NULL);
// CAUTION!!! We don't initialize retMat to zero matrix for efficiently.
static bool multiply(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
SparseLinearSpace& bMat,
double* scalar = NULL);
#endif
// retMat = L_{A} B = (A * B + B * A)/2
static bool jordan_product(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
DenseLinearSpace& bMat);
// retMat = A * B
static bool ns_jordan_product(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
DenseLinearSpace& bMat);
// retMat = P_{A} B = A * B * A
static bool jordan_quadratic_product(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
DenseLinearSpace& bMat,
DenseLinearSpace& work);
// retMat = Q_{A,C} B = (A * B * C + C * B * A)/2
static bool jordan_triple_product(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
DenseLinearSpace& bMat,
DenseLinearSpace& cMat,
DenseLinearSpace& work);
// retMat = A * B * C
static bool ns_jordan_triple_product(DenseLinearSpace& retMat,
DenseLinearSpace& aMat,
DenseLinearSpace& bMat,
DenseLinearSpace& cMat,
DenseLinearSpace& work);
};
} // end of namespace 'sdpa'
#endif // __sdpa_jordan_h__
|