Bounds for the spectral radius and the largest singular value
type: Item
instance of: scholarly article
title: Bounds for the spectral radius and the largest singular value
zbMATH Open document ID: 0942.15013
DOI: 10.1016/S0898-1221(98)00107-2
author: Yanyan Li
publication date: 2000-08-21T00:00:00Z
review text: The authors give a lower bound on the spectral radius and the largest singular value of a square matrix \({\mathbf A}\) in terms of traces of powers of \({\mathbf A}\) and the order of \({\mathbf A}\). As a corollary, the authors get some conditions on regularity of \({\mathbf A}\) and estimates of the rank of \({\mathbf A}\).
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1358035
zbMATH Keywords: Perron root
zbMATH Keywords: non-negative matrix
zbMATH Keywords: normal matrix
zbMATH Keywords: spectral radius
zbMATH Keywords: largest singular value
zbMATH Keywords: regularity
zbMATH Keywords: rank
reviewed by: Z. Dostál
MaRDI profile type: Publication
cites work: Bounds for eigenvalues using traces
cites work: Lower bounds for the Perron root of a nonnegative matrix
cites work: A decreasing sequence of eigenvalue localization regions
cites work: Localization of eigenvalues in elliptic regions
cites work: A decreasing sequence of upper bounds for the Perron root
cites work: More estimates for eigenvalues and singular values
cites work: Bounds for singular values using traces
full work available at URL: s0898-1221(98)00107-2
OpenAlex ID: W1988466901
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1358035