Canonical form of polynomial matrices with all identical elementary divisors
type: Item
instance of: scholarly article
title: Canonical form of polynomial matrices with all identical elementary divisors
zbMATH Open document ID: 1260.15015
published in: Ukrainian Mathematical Journal
publication date: 2013-01-23T00:00:00Z
review text: The author studies the problem of reducing polynomial matrices to a canonical form by using semiscalar equivalent transformations. He singles out a class of polynomial matrices for which the canonical form with respect to semiscalar equivalence is indicated. This form enables one to solve the classification problem for collections of matrices over a field up to similarity.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 11C08
Mathematics Subject Classification ID: 11S15
zbMATH DE Number: 6128305
zbMATH Keywords: polynomial matrix
zbMATH Keywords: canonical form
zbMATH Keywords: semiscalar equivalence
author: B. Z. Shavarovs'kij
MaRDI profile type: Publication
full work available at URL: s11253-012-0645-x
OpenAlex ID: W1998251297
cites work: Q4740403
cites work: On simultaneous similarity of matrices and related questions
cites work: Q3825190
cites work: Q3960983
cites work: Q3866240
cites work: Canonical matrices for linear matrix problems
DOI: 10.1007/S11253-012-0645-X
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description: scientific article; zbMATH DE number 6128305