A robust solution of the generalized polynomial Bézout identity
type: Item
instance of: scholarly article
title: A robust solution of the generalized polynomial Bézout identity
zbMATH Open document ID: 1056.65038
author: J. C. Basilio
author: M. V. Moreira
published in: Linear Algebra and its Applications
publication date: 2004-08-06T00:00:00Z
review text: The authors present a robust algorithm for the computation of all matrices of the generalized polynomial Bézout identity, together with an algorithm for the computation of minimal polynomial basis for the null space of polynomial matrices. This algorithm exploits singular value decompositions of certain real matrices. Two interesting examples enlighten in detail the effectiveness of the proposed algorithms.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 2083517
zbMATH Keywords: matrix polynomials, minimal polynomial basis
zbMATH Keywords: matrix fraction description
zbMATH Keywords: generalized Bézout identity
zbMATH Keywords: numerical examples
zbMATH Keywords: robust algorithm
zbMATH Keywords: singular value decompositions
reviewed by: Raffaella Pavani
MaRDI profile type: Publication
full work available at URL: j.laa.2003.11.030
OpenAlex ID: W1984423026
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DOI: 10.1016/J.LAA.2003.11.030
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description: scientific article; zbMATH DE number 2083517