Upper bounds for the spread of a matrix
type: Item
instance of: scholarly article
title: Upper bounds for the spread of a matrix
zbMATH Open document ID: 1258.15004
author: Junliang Wu
author: Pingping Zhang
author: Wenshi Liao
published in: Linear Algebra and its Applications
publication date: 2012-11-09T00:00:00Z
review text: Suppose \(A\) is an \(n\times n\) complex matrix with eigenvalues \(\lambda_1,\ldots,\lambda_n\). The spread of \(A\), denoted by \(s(A)\), is defined by \(s(A)=\max_{i,j}|\lambda_i-\lambda_j|\). The authors provide new and sharper upper bounds of \(s(A)\), refining some bounds due to \textit{L. Mirsky} [Mathematika, Lond. 3, 127--130 (1956; Zbl 0073.00903)] and \textit{Y. Gu} [Acta Math. Appl. Sin. 17, No. 4, 501--511 (1994)].
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 6104576
zbMATH Keywords: spread of a matrix
zbMATH Keywords: upper bounds
zbMATH Keywords: inequalities involving eigenvalues
reviewed by: C. M.da Fonseca
MaRDI profile type: Publication
full work available at URL: j.laa.2012.07.007
OpenAlex ID: W2069335338
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DOI: 10.1016/J.LAA.2012.07.007
description: scientific article; zbMATH DE number 6104576