A compound matrix algorithm for the computation of the Smith form of a polynomial matrix
type: Item
instance of: scholarly article
title: A compound matrix algorithm for the computation of the Smith form of a polynomial matrix
zbMATH Open document ID: 0807.65040
DOI: 10.1007/BF02140679
published in: Numerical Algorithms
publication date: 1994-10-17T00:00:00Z
review text: This paper presents a numerical method for the exact reduction of a single-variable polynomial matrix to its Smith canonical form without finding roots and without applying unimodular transformations. This technique uses the notion of compound matrices and produces a stable and accurate numerical algorithm working satisfactorily for any polynomial matrix of any degree. Numerical results of several examples are given.
reviewed by: Quancai Duan
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 640738
zbMATH Keywords: MATLAB
zbMATH Keywords: numerical results
zbMATH Keywords: polynomial matrix
zbMATH Keywords: Smith canonical form
zbMATH Keywords: compound matrices
zbMATH Keywords: numerical algorithm
author: Marilena Mitrouli
author: Grigoris I. Kalogeropoulos
describes a project that uses: Matlab
MaRDI profile type: Publication
cites work: Algorithms for Hermite and Smith Normal Matrices and Linear Diophantine Equations
cites work: Exact reduction of a polynomial matrix to the Smith normal form
cites work: Q3254327
cites work: Q4917542
cites work: Fast Parallel Computation of Hermite and Smith Forms of Polynomial Matrices
cites work: A matrix pencil based numerical method for the computation of the GCD of polynomials
cites work: Q5331504
cites work: Computation of the GCD of polynomials using gaussian transformations and shifting
cites work: Part I-Smith form and common divisor of polynomial matrices
cites work: Comparison of algorithms for calculation of g.c.d. of polynomials
full work available at URL: https://doi.org/10.1007/bf02140679
OpenAlex ID: W2102558929
description: scientific article; zbMATH DE number 640738