Generalizations of \(M\)-matrices which may not have a nonnegative inverse
type: Item
instance of: scholarly article
title: Generalizations of \(M\)-matrices which may not have a nonnegative inverse
zbMATH Open document ID: 1153.15025
author: Abed Elhashash
author: Daniel B. Szyld
published in: Linear Algebra and its Applications
publication date: 2008-11-06T00:00:00Z
review text: From the authors' summary: Generalizations of \(M\)-matrices are studied, including the new class of \(G\)M-matrices. The matrices studied are of the form \(sI-B\) with \(B\) having the Perron-Frobenius property, but not necessarily being nonnegative. Results for these classes of matrices are shown, which are analogous to those known for \(M\)-matrices. Also, various splittings of a \(G\)M-matrix are studied along with conditions for their convergence.
reviewed by: Jinhai Chen
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 5362053
zbMATH Keywords: generalized \(M\)-matrices
zbMATH Keywords: Perron-Frobenius property
Wikidata QID: Q115156446
MaRDI profile type: Publication
full work available at URL: j.laa.2008.01.006
OpenAlex ID: W2060374481
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DOI: 10.1016/J.LAA.2008.01.006
description: scientific article; zbMATH DE number 5362053