Article citationsMore>>

M. Frost and M. S. Boudellioua, “Some Further Results Concerning Matrices with Elements in a Polynomial Ring,” International Journal of Control, Vol. 43, No. 5, 1986, pp. 1543-1555. doi:10.1080/00207178608933558

has been cited by the following article:

• TITLE: Computation of the Smith Form for Multivariate Polynomial Matrices Using Maple

  AUTHORS: Mohamed Salah Boudellioua

  KEYWORDS: Smith Form; Unimodular; Equivalence; Quillen-Suslin Theorem; Maple

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.1, March 21, 2012

  ABSTRACT: 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.