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