Minimal sets alternative to minimal Geršgorin sets
type: Item
instance of: scholarly article
title: Minimal sets alternative to minimal Geršgorin sets
zbMATH Open document ID: 1195.15021
published in: Applied Numerical Mathematics
publication date: 2010-05-25T00:00:00Z
review text: Localization regions for the real eigenvalues or the real parts of the eigenvalues of a given real matrix \(A\) were studied by \textit{J. M. Penã} [SIAM J. Matrix Anal. Appl. 22, No.~4, 1027--1037 (2001; Zbl 0986.15015)], who introduced the notions of row \(\mathcal B\)-set and \(\mathcal B\)-set. In the present paper the notions of minimal row \(\mathcal B\)-set and minimal \(\mathcal B\)-set are introduced. Comparison is made between the notions with the minimal Geršgorin set. Some properties of the minimal \(\mathcal B\)-set are obtained via a new function.
reviewed by: Tin-Yau Tam
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 5711849
zbMATH Keywords: eigenvalue localization
zbMATH Keywords: Geršgorin theorem
zbMATH Keywords: minimal Geršgorin set
author: Ljiljana Cvetković
author: J. M. Peña
MaRDI profile type: Publication
full work available at URL: j.apnum.2009.09.005
OpenAlex ID: W2010866132
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DOI: 10.1016/J.APNUM.2009.09.005
description: scientific article; zbMATH DE number 5711849