A new method for computing a column reduced polynomial matrix
type: Item
instance of: scholarly article
title: A new method for computing a column reduced polynomial matrix
zbMATH Open document ID: 0646.65040
DOI: 10.1016/0167-6911(88)90010-2
author: B. George
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
full work available at URL: a-new-method-for-computing-a-column-reduced-polynomial-matrix(6acacfb5-93c1-4a54-8870-fa8f2abbe581).html
review text: The new method proposed by the authors is based on reformulating the problem of constructing a column reduced form of a given polynomial matrix as a problem of constructing a minimal polynomial basis for the right null space of a polynomial matrix closely related to the original one. Two algorithms and several numerical examples illustrating these algorithms are given. The authors conclude that the numerical qualities of their method are completely determined by those of an earlier algorithm for constructing a minimal polynomial basis for the kernel of a polynomial matrix. Also, they claim that the upper bounds for the roundoff errors are too generous and the computed results agree with the exact ones within the order of machine precision.
reviewed by: Florica Luban
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 4054927
zbMATH Keywords: column reduced form
zbMATH Keywords: polynomial matrix
zbMATH Keywords: minimal polynomial basis
zbMATH Keywords: algorithms
zbMATH Keywords: numerical examples
zbMATH Keywords: roundoff errors
MaRDI profile type: Publication
OpenAlex ID: W2138203365
cites work: Q3028206
cites work: Numerical computation of a coprime factorization of a transfer function matrix
cites work: Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: The generalized eigenstructure problem in linear system theory
cites work: Linear multivariable systems
description: scientific article; zbMATH DE number 4054927