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abstract

Fast algorithms, modular methods, parallel approaches and software engineering for solving polynomial systems symbolically

Published: 01 September 2007 Publication History

Abstract

Symbolic methods are powerful tools in scientific computing. The implementation of symbolic solvers is, however, a highly difficult task due to the extremely high time and space complexity of the problem. In this thesis, we study and apply fast algorithms, modular methods, parallel approaches and software engineering techniques to improve the efficiency of symbolic solvers for computing triangular decomposition, one of the most promising methods for solving non-linear systems of equations symbolically.

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  • (2022)Parallelization of Triangular Decompositions: Techniques and ImplementationJournal of Symbolic Computation10.1016/j.jsc.2022.08.015Online publication date: Aug-2022

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Published In

cover image ACM Communications in Computer Algebra
ACM Communications in Computer Algebra  Volume 41, Issue 3
September 2007 issue 161
46 pages
EISSN:1932-2240
DOI:10.1145/1358190
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 2007
Published in SIGSAM-CCA Volume 41, Issue 3

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Cited By

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  • (2022)Parallelization of Triangular Decompositions: Techniques and ImplementationJournal of Symbolic Computation10.1016/j.jsc.2022.08.015Online publication date: Aug-2022

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