A nonsingularlity criterion for complex matrices
type: Item
instance of: scholarly article
title: A nonsingularlity criterion for complex matrices
zbMATH Open document ID: 0748.15003
DOI: 10.1016/0024-3795(92)90292-I
author: Tomasz Szulc
published in: Linear Algebra and its Applications
publication date: 1992-09-27T00:00:00Z
review text: The author derives a new set of sufficient conditions for an \(n\times n\) complex matrix to be non-singular. Based on it, a new sufficient condition for a square matrix to have all eigenvalues with positive real parts are obtained. As an application a new characterization of the class of all non-singular \(M\)-matrices is given.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A45
zbMATH DE Number: 57567
zbMATH Keywords: complex matrix
zbMATH Keywords: eigenvalues
zbMATH Keywords: characterization
zbMATH Keywords: non-singular \(M\)-matrices
reviewed by: Prem Narain
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 57567