A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization
type: Item
instance of: scholarly article
title: A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization
zbMATH Open document ID: 0855.65015
DOI: 10.1016/0024-3795(94)00164-2
author: E. L. Yip
published in: Linear Algebra and its Applications
publication date: 1997-02-16T00:00:00Z
review text: The author reports necessary and sufficient conditions for \(M\)-matrices in terms of special diagonal dominance. He uses new results to show that if the comparison matrix for a block matrix is an \(M\)-matrix, there exists a stable block permutation matrix. Next, incomplete \(M\)-matrices are defined, necessary and sufficient conditions for such matrices are proved and their implication on block LU-factorization is presented.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 871125
zbMATH Keywords: \(M\)-matrices
zbMATH Keywords: diagonal dominance
zbMATH Keywords: block \(LU\)-factorization
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00164-2
OpenAlex ID: W2021833898
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description: scientific article; zbMATH DE number 871125