Generalizations of the Ostrowski-Brauer theorem
type: Item
instance of: scholarly article
title: Generalizations of the Ostrowski-Brauer theorem
zbMATH Open document ID: 1021.15014
DOI: 10.1016/S0024-3795(02)00537-2
author: L. Yu Kolotilina
published in: Linear Algebra and its Applications
publication date: 2003-05-04T00:00:00Z
review text: Generalizing the Ostrowski-Brauer theorem and its previous extensions the author provides necessary and sufficient conditions for the singularity of an irreducible matrix satisfying a nonstrict row-column diagonal dominance, and a new description of the location of matrix eigenvalues in terms of Cassini ovals and Gerschgorin circles.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 1903577
zbMATH Keywords: Cassini ovals
zbMATH Keywords: Gerschgorin circles
zbMATH Keywords: nonstrict diagonal dominance
zbMATH Keywords: irreducibility
zbMATH Keywords: singularity
zbMATH Keywords: nonsingularity
zbMATH Keywords: sparsity
zbMATH Keywords: circuits
zbMATH Keywords: location of matrix eigenvalues
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1903577