Lower bounds for the spread of a Hermitian matrix
type: Item
instance of: scholarly article
title: Lower bounds for the spread of a Hermitian matrix
zbMATH Open document ID: 0886.15017
DOI: 10.1016/S0024-3795(95)00785-7
author: Xingzhi Zhan
author: Erxiong Jiang
published in: Linear Algebra and its Applications
publication date: 1997-05-19T00:00:00Z
review text: The authors present new lower bounds for the spread of a Hermitian matrix in terms of its entries. The results include a bound which is sharper than a recent result due to \textit{E. R. Barnes} and \textit{A. J. Hoffman} [Linear Algebra Appl. 201, 79-90 (1994; Zbl 0803.15016)] in spite of the fact that the latter bound is attained. Numerical examples are used to compare the results with other known results.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1011342
zbMATH Keywords: numerical examples
zbMATH Keywords: lower bounds
zbMATH Keywords: spread
zbMATH Keywords: Hermitian matrix
reviewed by: Z. Dostál
MaRDI profile type: Publication
cites work: Bounds for the spectrum of normal matrices
cites work: Q3747197
cites work: Lower bounds for the spread of a matrix
cites work: Inequalities for normal and Hermitian matrices
cites work: On the accuracy of the Gerschgorin circle theorem for bounding the spread of a real symmetric matrix
cites work: Q3998482
description: scientific article; zbMATH DE number 1011342