alpar@1: %* glpk11.tex *% alpar@1: alpar@1: \begin{footnotesize} alpar@1: alpar@1: \chapter{External Software Modules Used In GLPK} alpar@1: alpar@1: In the GLPK package there are used some external software modules alpar@1: listed in this Appendix. Note that these modules are {\it not} part of alpar@1: GLPK, but are used with GLPK and included in the distribution. alpar@1: alpar@1: \section{AMD} alpar@1: alpar@1: AMD Version 2.2, Copyright {\copyright} 2007 by Timothy A. Davis, alpar@1: Patrick R. Amestoy, and Iain S. Duff. All Rights Reserved. alpar@1: alpar@1: \subsection*{Description} alpar@1: alpar@1: AMD is a set of routines for pre-ordering sparse matrices prior to alpar@1: Cholesky or LU factorization, using the approximate minimum degree alpar@1: ordering algorithm. alpar@1: alpar@1: \subsection*{License} alpar@1: alpar@1: This library is free software; you can redistribute it and/or alpar@1: modify it under the terms of the GNU Lesser General Public License alpar@1: as published by the Free Software Foundation; either version 2.1 of alpar@1: the License, or (at your option) any later version. alpar@1: alpar@1: This library is distributed in the hope that it will be useful, alpar@1: but WITHOUT ANY WARRANTY; without even the implied warranty of alpar@1: MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU alpar@1: Lesser General Public License for more details. alpar@1: alpar@1: You should have received a copy of the GNU Lesser General Public alpar@1: License along with this library; if not, write to the Free Software alpar@1: Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 alpar@1: USA. alpar@1: alpar@1: Permission is hereby granted to use or copy this program under the alpar@1: terms of the GNU LGPL, provided that the Copyright, this License, alpar@1: and the Availability of the original version is retained on all alpar@1: copies. User documentation of any code that uses this code or any alpar@1: modified version of this code must cite the Copyright, this License, alpar@1: the Availability note, and ``Used by permission.'' Permission to alpar@1: modify the code and to distribute modified code is granted, provided alpar@1: the Copyright, this License, and the Availability note are retained, alpar@1: and a notice that the code was modified is included. alpar@1: alpar@1: AMD is available under alternate licences; contact T. Davis for alpar@1: details. alpar@1: alpar@1: \subsection*{Availability} alpar@1: alpar@1: \verb|http://www.cise.ufl.edu/research/sparse/amd| alpar@1: alpar@1: \bigskip alpar@1: alpar@1: \noindent alpar@1: Used by permission. alpar@1: alpar@1: \section{COLAMD/SYMAMD} alpar@1: alpar@1: COLAMD/SYMAMD Version 2.7, Copyright {\copyright} 1998-2007, Timothy A. alpar@1: Davis, All Rights Reserved. alpar@1: alpar@1: \subsection*{Description} alpar@1: alpar@1: \paragraph{colamd:} an approximate minimum degree column ordering alpar@1: algorithm, for LU factorization of symmetric or unsymmetric matrices, alpar@1: QR factorization, least squares, interior point methods for linear alpar@1: programming problems, and other related problems. alpar@1: alpar@1: \paragraph{symamd:} an approximate minimum degree ordering algorithm alpar@1: for Cholesky factorization of symmetric matrices. alpar@1: alpar@1: \subsection*{Authors} alpar@1: alpar@1: The authors of the code itself are Stefan I. Larimore and Timothy A. alpar@1: Davis (davis at cise.ufl.edu), University of Florida. The algorithm alpar@1: was developed in collaboration with John Gilbert, Xerox PARC, and alpar@1: Esmond Ng, Oak Ridge National Laboratory. alpar@1: alpar@1: \subsection*{License} alpar@1: alpar@1: This library is free software; you can redistribute it and/or alpar@1: modify it under the terms of the GNU Lesser General Public License alpar@1: as published by the Free Software Foundation; either version 2.1 of alpar@1: the License, or (at your option) any later version. alpar@1: alpar@1: This library is distributed in the hope that it will be useful, alpar@1: but WITHOUT ANY WARRANTY; without even the implied warranty of alpar@1: MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU alpar@1: Lesser General Public License for more details. alpar@1: alpar@1: You should have received a copy of the GNU Lesser General Public alpar@1: License along with this library; if not, write to the Free Software alpar@1: Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 alpar@1: USA. alpar@1: alpar@1: Permission is hereby granted to use or copy this program under the alpar@1: terms of the GNU LGPL, provided that the Copyright, this License, alpar@1: and the Availability of the original version is retained on all alpar@1: copies. User documentation of any code that uses this code or any alpar@1: modified version of this code must cite the Copyright, this License, alpar@1: the Availability note, and ``Used by permission.'' Permission to alpar@1: modify the code and to distribute modified code is granted, provided alpar@1: the Copyright, this License, and the Availability note are retained, alpar@1: and a notice that the code was modified is included. alpar@1: alpar@1: COLAMD is also available under alternate licenses, contact T. Davis for alpar@1: details. alpar@1: alpar@1: \subsection*{Availability} alpar@1: alpar@1: \verb|http://www.cise.ufl.edu/research/sparse/colamd| alpar@1: alpar@1: \bigskip alpar@1: alpar@1: \noindent alpar@1: Used by permission. alpar@1: alpar@1: \end{footnotesize} alpar@1: alpar@1: %* eof *%