The undirected graph and estimates of matrix singular values
type: Item
instance of: scholarly article
title: The undirected graph and estimates of matrix singular values
zbMATH Open document ID: 0933.15037
DOI: 10.1016/S0024-3795(98)10128-3
author: Luoluo Li
published in: Linear Algebra and its Applications
publication date: 1999-11-28T00:00:00Z
review text: New theorems for estimating the singular values of a matrix are established using the associated undirected graph. The location of singular values of a matrix \(A\) is described in terms of its deleted absolute row sums and column sums. The formulation has an appearance analogous to Brauer's and Brualdi' s theorems for eigenvalues. Examples show that in many cases more precise estimates can be obtained than those in the related literature.
reviewed by: Giacomo Bonanno
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 1371039
zbMATH Keywords: singular values
zbMATH Keywords: undirected graph
zbMATH Keywords: absolute row sums
zbMATH Keywords: column sums
zbMATH Keywords: estimates
MaRDI profile type: Publication
cites work: Matrix Analysis
cites work: A Gershgorin-type lower bound for the smallest singular value
cites work: Some simple estimates for singular values of a matrix
Wikidata QID: Q126421612
description: scientific article; zbMATH DE number 1371039