Upper triangularization of matrices by lower triangular similarities
type: Item
instance of: scholarly article
title: Upper triangularization of matrices by lower triangular similarities
zbMATH Open document ID: 0645.15013
DOI: 10.1016/0024-3795(88)90229-7
author: P. S. M. Kop Jansen
author: Harm Bart
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
full work available at URL: erasmus197.pdf
review text: We say that A admits upper triangularization by a lower triangular similarity, if there exists an invertible lower triangular matrix such that \(S^{-1}AS\) is upper triangular. Several sufficient conditions for such an S to exist are given. There is a connection with the problem of complete factorization of a transfer function and the problem of complementary triangularization of pairs of matrices.
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 4051808
zbMATH Keywords: minimal factorization
zbMATH Keywords: triangular similarity
zbMATH Keywords: complete factorization
zbMATH Keywords: transfer function
zbMATH Keywords: complementary triangularization
zbMATH Keywords: pairs of matrices
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
OpenAlex ID: W2027428347
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Wikidata QID: Q126527602
description: scientific article; zbMATH DE number 4051808