Common Jordan chains of matrices
type: Item
instance of: scholarly article
title: Common Jordan chains of matrices
zbMATH Open document ID: 0635.15012
DOI: 10.1016/0024-3795(88)90135-8
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: The paper gives a necessary and sufficient condition for any set of matrices to have an eigenvector in common and studies common Jordan chains of matrices. The main result is a characterization of common right divisors of matrix polynomials by common Jordan chains of their first companion matrices.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 4033916
zbMATH Keywords: matrices with common eigenvectors
zbMATH Keywords: common Jordan chains
zbMATH Keywords: common right divisors of matrix polynomials
author: T. Košir
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90135-8
OpenAlex ID: W2030573193
cites work: Common eigenvectors of two matrices
cites work: Spectral analysis of matrix polynomials. I. Canonical forms and divisors
cites work: Q3939931
description: scientific article; zbMATH DE number 4033916