Inversion of polynomial matrices via state-space
type: Item
instance of: scholarly article
title: Inversion of polynomial matrices via state-space
zbMATH Open document ID: 1017.65040
DOI: 10.1016/S0024-3795(02)00418-4
author: J. C. Basilio
published in: Linear Algebra and its Applications
publication date: 2003-02-05T00:00:00Z
review text: The paper deals with the problem of computing the inverse of a polynomial matrix. Firstly, it is shown that this problem is equivalent to that of finding a minimal state-space realization for a irreducible matrix fraction description. Secondly, both cases of column reduced and non-column reduced polynomial matrices are considered. In addition, algorithms of easy implementation to compute the considered inverses are developed.
reviewed by: Néstor Thome
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 1864782
zbMATH Keywords: matrix polynomials
zbMATH Keywords: matrix fraction description
zbMATH Keywords: state-space methods
zbMATH Keywords: polynomial matrix inversion
zbMATH Keywords: algorithms
MaRDI profile type: Publication
cites work: Q3254327
cites work: Q3939931
cites work: Linear multivariable systems
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Numerical operations with polynomial matrices
cites work: An algorithm for inverting polynomial matrices
cites work: Inversion of polynomial matrices
cites work: An algorithm for coprime matrix fraction description using Sylvester matrices
Recommended article: Inversion of polynomial matrices
Recommended article: Inversion of polynomial and rational matrices
Recommended article: Q3363961
Recommended article: Polynomial generalized inverses of polynomial matrices
Recommended article: Q4286094
Recommended article: Inversion of linear systems on the basis of state space realization
Recommended article: Q3832696
Recommended article: Q3216775
Recommended article: Computation of the generalized inverse of a polynomial matrix and applications
Recommended article: On the computation of the generalized inverse of a polynomial matrix
description: scientific article; zbMATH DE number 1864782