On the triangular form of a polynomial matrix and its invariants with respect to semiscalar equivalence
type: Item
instance of: scholarly article
zbMATH Open document ID: 1289.15024
publication date: 2014-01-17T00:00:00Z
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 6247717
zbMATH Keywords: invariants of polynomial matrix
zbMATH Keywords: diagonally similar matrices
zbMATH Keywords: canonical form
zbMATH Keywords: semiscalar equivalence
author: B. Z. Shavarovs'kij
MaRDI profile type: Publication
title: On the triangular form of a polynomial matrix and its invariants with respect to semiscalar equivalence
published in: Matematychni Metody ta Fizyko-Mekhanichni Polya
review text: The author proposes an approach to the investigation of the structure of polynomial matrices in view of their reducibility by semiscalar equivalent transformations to simpler forms. A system of invariants is obtained for one class of matrices with respect to semiscalar equivalence. On this base, an almost canonical form of the matrix with respect to semiscalar equivalence is presented.
description: scientific article; zbMATH DE number 6247717