Singularity, Wielandt's Lemma and singular values
type: Item
instance of: scholarly article
title: Singularity, Wielandt's Lemma and singular values
zbMATH Open document ID: 1201.15009
author: Hou-Biao Li
author: Ting-Zhu Huang
author: Xing-Ping Liu
author: Hong Li
published in: Journal of Computational and Applied Mathematics
publication date: 2010-07-20T00:00:00Z
review text: The authors obtain some upper and lower bounds for the largest and the smallest singular values of certain complex matrices based on the entries and diagonal dominance. A relationship between largest singular value of a block matrix and its block norm matrix is obtained. Numerical examples are given to demonstrate the usefulness of their results.
reviewed by: Jaspal Singh Aujla
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 5758052
zbMATH Keywords: singular value
zbMATH Keywords: saddle point
zbMATH Keywords: block matrix
zbMATH Keywords: Wielandt's lemma
zbMATH Keywords: diagonal dominance
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2010.04.005
OpenAlex ID: W1968607423
Wikidata QID: Q125019728
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DOI: 10.1016/J.CAM.2010.04.005
description: scientific article; zbMATH DE number 5758052