Digraphs and inclusion intervals of Brualdi-type for singular values
type: Item
instance of: scholarly article
title: Digraphs and inclusion intervals of Brualdi-type for singular values
zbMATH Open document ID: 1017.05075
author: Kai Yang
author: Qingxue Wang
author: Jiongsheng Li
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2003-08-28T00:00:00Z
review text: The authors study some properties of \(n\)-by-\(n\) complex matrices \(A\) and their associated digraph \(D(A)\). A matrix \(A\) has property \(B\) if and only if all singular values are contained in some union. A digraph \(D\) is a forcible \(B\)-digraph if each matrix realization of \(D\) has property \(B\). The authors give a sufficient condition for a matrix to have property \(B\), and they characterize the forcible \(B\)-digraphs.
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 1885789
zbMATH Keywords: complex matrices
zbMATH Keywords: matrix realization
reviewed by: Ferdinand Gliviak
MaRDI profile type: Publication
full work available at URL: s102550200047
OpenAlex ID: W2066883018
cites work: Combinatorial matrix theory
cites work: Q4040931
cites work: The undirected graph and estimates of matrix singular values
cites work: Some simple estimates for singular values of a matrix
DOI: 10.1007/S102550200047
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description: scientific article; zbMATH DE number 1885789