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Copyright © 2000 Association for Computing Machinery, Inc. Permission to | ||
include in application software or to make digital or hard copies of part or | ||
all of this work is subject to the following licensing agreement. | ||
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ACM Software License Agreement | ||
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All software, both binary and source published by the Association for Computing | ||
Machinery (hereafter, Software) is copyrighted by the Association (hereafter, | ||
ACM) and ownership of all right, title and interest in and to the Software | ||
remains with ACM. By using or copying the Software, User agrees to abide by | ||
the terms of this Agreement. | ||
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Noncommercial Use | ||
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The ACM grants to you (hereafter, User) a royalty-free, nonexclusive right to | ||
execute, copy, modify and distribute both the binary and source code solely for | ||
academic, research and other similar noncommercial uses, subject to the | ||
following conditions: | ||
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1. User acknowledges that the Software is still in the development stage and | ||
that it is being supplied "as is," without any support services from ACM. | ||
Neither ACM nor the author makes any representations or warranties, express | ||
or implied, including, without limitation, any representations or | ||
warranties of the merchantability or fitness for any particular purpose, | ||
or that the application of the software, will not infringe on any patents | ||
or other proprietary rights of others. | ||
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2. ACM shall not be held liable for direct, indirect, incidental or | ||
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with respect to uses allowed under this Agreement, or from any use of the | ||
Software. | ||
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4. User may modify the Software and distribute that modified work to third | ||
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5. User agrees that ACM, the authors of the original work and others may | ||
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6. This agreement will terminate immediately upon User's breach of, or | ||
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copyright infringement or the infringement of any other proprietary rights | ||
in the Software that is caused or facilitated by the User's failure to | ||
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7. This agreement will be construed and enforced in accordance with the law | ||
of the state of New York applicable to contracts performed entirely within | ||
the State. The parties irrevocably consent to the exclusive jurisdiction | ||
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disputes concerning this agreement. | ||
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Commercial Use | ||
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Any User wishing to make a commercial use of the Software must contact ACM at | ||
[email protected] to arrange an appropriate license. Commercial use includes | ||
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Revised 6/98 |
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# ACM TOMS Algorithm 857: POLSYS_GLP: a parallel general linear product homotopy code for solving polynomial systems of equations | ||
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POLSYS_GLP consists of Fortran 95 modules for finding all isolated solutions of a complex coefficient polynomial system of equations. The package is intended to be used on a distributed memory multiprocessor in conjunction with HOMPACK90 (Algorithm 777), and makes extensive use of Fortran 95-derived data types and MPI to support a general linear product (GLP) polynomial system structure. GLP structure is intermediate between the partitioned linear product structure used by POLSYS_PLP (Algorithm 801) and the BKK-based structure used by PHCPACK. The code requires a GLP structure as input, and although finding the optimal GLP structure is a difficult combinatorial problem, generally physical or engineering intuition about a problem yields a very good GLP structure. POLSYS_GLP employs a sophisticated power series end game for handling singular solutions, and provides support for problem definition both at a high level and via hand-crafted code. Different GLP structures and their corresponding Bezout numbers can be systematically explored before committing to root finding. | ||
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- This code has been re-uploaded with the permission of Dr. Layne Watson. | ||
All comments and questions should be directed to him (see contact info at | ||
the bottom of this file). | ||
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## Structure and Usage | ||
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The original source code, exactly as distributed by ACM TOMS, is included in | ||
the ``src`` directory. | ||
The ``src`` directory also contains its own ``README``, build instructions, | ||
and a test case. | ||
Comments at the top of each subroutine document their proper usage. | ||
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## Reference and Contact | ||
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To cite this work, use: | ||
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``` | ||
@article{algorithm857, | ||
author = {Su, Hai-Jun and McCarthy, J. Michael and Sosonkina, Masha and Watson, Layne T.}, | ||
title = {Algorithm 857: POLSYS_GLP—a Parallel General Linear Product Homotopy Code for Solving Polynomial Systems of Equations}, | ||
year = {2006}, | ||
volume = {32}, | ||
number = {4}, | ||
journal = {ACM Trans. Math. Softw.}, | ||
pages = {561–579}, | ||
doi = {10.1145/1186785.1186789} | ||
} | ||
``` | ||
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Inquiries should be directed to | ||
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Layne T. Watson, | ||
Department of Computer Science, VPI&SU, | ||
Blacksburg, VA 24061-0106; | ||
(540) 231-7540; | ||
[email protected] | ||
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C ALGORITHM 857, COLLECTED ALGORITHMS FROM ACM. | ||
C THIS WORK PUBLISHED IN TRANSACTIONS ON MATHEMATICAL SOFTWARE, | ||
C VOL. 32, NO. 4, December, 2006, P. 561--579. |
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