The change of the Jordan structure under one row perturbations
type: Item
instance of: scholarly article
title: The change of the Jordan structure under one row perturbations
zbMATH Open document ID: 1092.15007
author: Niranjan Chakravarthy
published in: Linear Algebra and its Applications
publication date: 2005-06-01T00:00:00Z
review text: \textit{H. den Boer} and \textit{G. Ph. A. Thijsse} [Integral Equations Oper. Theory 3, 23--42 (1980; Zbl 0433.47007)] and \textit{A. S. Markus} and \textit{E. E. Parilis} [Linear Algebra Appl. 54, 139--152 (1983; Zbl 0524.15010)] have solved the problem of describing all the possible Jordan canonical forms of the matrices obtained from a matrix \(M\) by means of a small modification of each of its entries. In the paper under review the authors investigate possible improvements of those results when only a single row of the matrix \(M\) is changed with a small margin of tolerance. Actually, they obtain necessary conditions that have to be satisfied by the similarity invariants of a matrix with one row close enough to that of an assigned matrix. Furthermore, the authors characterize the class of matrices with prescribed invariant factors.
reviewed by: Bambina Larato
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 2173145
zbMATH Keywords: Jordan canonical forms
zbMATH Keywords: Invariant factors
zbMATH Keywords: Structured perturbation
zbMATH Keywords: Interlacing inequalities
zbMATH Keywords: Similarity invariants
MaRDI profile type: Publication
full work available at URL: j.laa.2004.02.003
OpenAlex ID: W2083155341
cites work: Q3886334
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cites work: Q4859392
cites work: Interlacing inequalities for invariant factors
cites work: Matrices with prescribed rows and invariant factors
DOI: 10.1016/J.LAA.2004.02.003
description: scientific article; zbMATH DE number 2173145