Common invariant subspaces of two matrices
type: Item
instance of: scholarly article
title: Common invariant subspaces of two matrices
zbMATH Open document ID: 0940.65042
DOI: 10.1016/S0024-3795(98)10150-7
author: Alan George
author: Kh. D. Ikramov
published in: Linear Algebra and its Applications
publication date: 1999-09-02T00:00:00Z
review text: A finite rational procedure of Shemesh type is proposed to check whether given complex \(n\times n\) matrices \(A\) and \(B\) have a common invariant subspace of dimension \(k\), \(2\leq k<n\). The only restriction is that at least one of \(A\) and \(B\) must have distinct eigenvalues. This fact can also be verified by a finite rational computation. The main theorem is in Section 3; Section 4 contains the algorithm with remarks.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1331750
zbMATH Keywords: common eigenvector
zbMATH Keywords: common invariant subspace
zbMATH Keywords: finite rational computation
zbMATH Keywords: algorithm
reviewed by: Yueh-er Kuo
MaRDI profile type: Publication
cites work: Simultaneous triangularization of matrices—low rank cases and the nonderogatory case
cites work: Common eigenvectors of two matrices
cites work: Q5331504
description: scientific article; zbMATH DE number 1331750