[1] | 1 | %* glpk11.tex *% |
---|
| 2 | |
---|
| 3 | \begin{footnotesize} |
---|
| 4 | |
---|
| 5 | \chapter{External Software Modules Used In GLPK} |
---|
| 6 | |
---|
| 7 | In the GLPK package there are used some external software modules |
---|
| 8 | listed in this Appendix. Note that these modules are {\it not} part of |
---|
| 9 | GLPK, but are used with GLPK and included in the distribution. |
---|
| 10 | |
---|
| 11 | \section{AMD} |
---|
| 12 | |
---|
| 13 | AMD Version 2.2, Copyright {\copyright} 2007 by Timothy A. Davis, |
---|
| 14 | Patrick R. Amestoy, and Iain S. Duff. All Rights Reserved. |
---|
| 15 | |
---|
| 16 | \subsection*{Description} |
---|
| 17 | |
---|
| 18 | AMD is a set of routines for pre-ordering sparse matrices prior to |
---|
| 19 | Cholesky or LU factorization, using the approximate minimum degree |
---|
| 20 | ordering algorithm. |
---|
| 21 | |
---|
| 22 | \subsection*{License} |
---|
| 23 | |
---|
| 24 | This library is free software; you can redistribute it and/or |
---|
| 25 | modify it under the terms of the GNU Lesser General Public License |
---|
| 26 | as published by the Free Software Foundation; either version 2.1 of |
---|
| 27 | the License, or (at your option) any later version. |
---|
| 28 | |
---|
| 29 | This library is distributed in the hope that it will be useful, |
---|
| 30 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
---|
| 31 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
---|
| 32 | Lesser General Public License for more details. |
---|
| 33 | |
---|
| 34 | You should have received a copy of the GNU Lesser General Public |
---|
| 35 | License along with this library; if not, write to the Free Software |
---|
| 36 | Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 |
---|
| 37 | USA. |
---|
| 38 | |
---|
| 39 | Permission is hereby granted to use or copy this program under the |
---|
| 40 | terms of the GNU LGPL, provided that the Copyright, this License, |
---|
| 41 | and the Availability of the original version is retained on all |
---|
| 42 | copies. User documentation of any code that uses this code or any |
---|
| 43 | modified version of this code must cite the Copyright, this License, |
---|
| 44 | the Availability note, and ``Used by permission.'' Permission to |
---|
| 45 | modify the code and to distribute modified code is granted, provided |
---|
| 46 | the Copyright, this License, and the Availability note are retained, |
---|
| 47 | and a notice that the code was modified is included. |
---|
| 48 | |
---|
| 49 | AMD is available under alternate licences; contact T. Davis for |
---|
| 50 | details. |
---|
| 51 | |
---|
| 52 | \subsection*{Availability} |
---|
| 53 | |
---|
| 54 | \verb|http://www.cise.ufl.edu/research/sparse/amd| |
---|
| 55 | |
---|
| 56 | \bigskip |
---|
| 57 | |
---|
| 58 | \noindent |
---|
| 59 | Used by permission. |
---|
| 60 | |
---|
| 61 | \section{COLAMD/SYMAMD} |
---|
| 62 | |
---|
| 63 | COLAMD/SYMAMD Version 2.7, Copyright {\copyright} 1998-2007, Timothy A. |
---|
| 64 | Davis, All Rights Reserved. |
---|
| 65 | |
---|
| 66 | \subsection*{Description} |
---|
| 67 | |
---|
| 68 | \paragraph{colamd:} an approximate minimum degree column ordering |
---|
| 69 | algorithm, for LU factorization of symmetric or unsymmetric matrices, |
---|
| 70 | QR factorization, least squares, interior point methods for linear |
---|
| 71 | programming problems, and other related problems. |
---|
| 72 | |
---|
| 73 | \paragraph{symamd:} an approximate minimum degree ordering algorithm |
---|
| 74 | for Cholesky factorization of symmetric matrices. |
---|
| 75 | |
---|
| 76 | \subsection*{Authors} |
---|
| 77 | |
---|
| 78 | The authors of the code itself are Stefan I. Larimore and Timothy A. |
---|
| 79 | Davis (davis at cise.ufl.edu), University of Florida. The algorithm |
---|
| 80 | was developed in collaboration with John Gilbert, Xerox PARC, and |
---|
| 81 | Esmond Ng, Oak Ridge National Laboratory. |
---|
| 82 | |
---|
| 83 | \subsection*{License} |
---|
| 84 | |
---|
| 85 | This library is free software; you can redistribute it and/or |
---|
| 86 | modify it under the terms of the GNU Lesser General Public License |
---|
| 87 | as published by the Free Software Foundation; either version 2.1 of |
---|
| 88 | the License, or (at your option) any later version. |
---|
| 89 | |
---|
| 90 | This library is distributed in the hope that it will be useful, |
---|
| 91 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
---|
| 92 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
---|
| 93 | Lesser General Public License for more details. |
---|
| 94 | |
---|
| 95 | You should have received a copy of the GNU Lesser General Public |
---|
| 96 | License along with this library; if not, write to the Free Software |
---|
| 97 | Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 |
---|
| 98 | USA. |
---|
| 99 | |
---|
| 100 | Permission is hereby granted to use or copy this program under the |
---|
| 101 | terms of the GNU LGPL, provided that the Copyright, this License, |
---|
| 102 | and the Availability of the original version is retained on all |
---|
| 103 | copies. User documentation of any code that uses this code or any |
---|
| 104 | modified version of this code must cite the Copyright, this License, |
---|
| 105 | the Availability note, and ``Used by permission.'' Permission to |
---|
| 106 | modify the code and to distribute modified code is granted, provided |
---|
| 107 | the Copyright, this License, and the Availability note are retained, |
---|
| 108 | and a notice that the code was modified is included. |
---|
| 109 | |
---|
| 110 | COLAMD is also available under alternate licenses, contact T. Davis for |
---|
| 111 | details. |
---|
| 112 | |
---|
| 113 | \subsection*{Availability} |
---|
| 114 | |
---|
| 115 | \verb|http://www.cise.ufl.edu/research/sparse/colamd| |
---|
| 116 | |
---|
| 117 | \bigskip |
---|
| 118 | |
---|
| 119 | \noindent |
---|
| 120 | Used by permission. |
---|
| 121 | |
---|
| 122 | \end{footnotesize} |
---|
| 123 | |
---|
| 124 | %* eof *% |
---|