文章基本信息

标题：Computation of the Smith Form for Multivariate Polynomial Matrices Using Maple
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作者：Mohamed Salah Boudellioua
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2012
卷号：2
期号：1
页码：21-26
DOI：10.4236/ajcm.2012.21003
出版社：Scientific Research Publishing
摘要：In this paper we show how the transformations associated with the reduction to the Smith form of some classes of mul-tivariate polynomial matrices are computed. Using a Maple implementation of a constructive version of the Quillen-Suslin Theorem, we present two algorithms for the reduction to a particular Smith form often associated with the simplification of linear systems of multidimensional equations.
关键词：Smith Form; Unimodular; Equivalence; Quillen-Suslin Theorem; Maple