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arXiv · 1403.1140

Matrix Methods for Solving Algebraic Systems

Ioannis Z. Emiris
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Abstract

We present our public-domain software for the following tasks in sparse (or toric) elimination theory, given a well-constrained polynomial system. First, C code for computing the mixed volume of the system. Second, Maple code for defining an overconstrained system and constructing a Sylvester-type matrix of its sparse resultant. Third, C code for a Sylvester-type matrix of the sparse resultant and a superset of all common roots of the initial well-constrained system by computing the eigen-decomposition of a square matrix obtained from the resultant matrix. We conclude with experiments in computing molecular conformations.

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Ioannis Z. Emiris. 2014-03-05. Matrix Methods for Solving Algebraic Systems. https://arxiv.org/abs/1403.1140

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