A characterization of the closure of inverse M-matrices
type: Item
instance of: scholarly article
title: A characterization of the closure of inverse M-matrices
zbMATH Open document ID: 0644.15011
DOI: 10.1016/0024-3795(88)90014-6
author: Miroslav Fiedler
author: Thomas L. Markham
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: M-matrices are matrices all of whose off-diagonal entries are nonpositive and whose inverse exists and is nonnegative. Let \(M^ I\) be the set of all \(n\times n\) matrices whose inverse is an M-matrix. This paper gives an explicit structural characterization of all matrices in the closure of \(M^ I\) under the usual topology which is induced by any matrix norm. The relationship of these results to some other classes of matrices is discussed.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 4049790
zbMATH Keywords: closure of inverse M-matrices
zbMATH Keywords: structural characterization
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90014-6
OpenAlex ID: W2014377953
cites work: Q4002435
cites work: Notes on inverse M-matrices
cites work: Matrices Whose Powers are M-Matrices or Z-Matrices
cites work: Determination of the inertia of a partitioned Hermitian matrix
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description: scientific article; zbMATH DE number 4049790