Diagonal scaling in eigenvalue localization for the Schur complement

Geršgorin theorem is a well‐known result in eigenvalue localization area. In this paper, using diagonal scaling method, we obtain more Geršgorin‐type localizations for the eigenvalues of the Schur complement using the entries of the original matrix instead of the entries of the Schur complement. We...

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Bibliographic Details
Published inProceedings in applied mathematics and mechanics Vol. 13; no. 1; pp. 411 - 412
Main Authors Cvetković, Ljiljana, Nedović, Maja
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.12.2013
WILEY‐VCH Verlag
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Summary:Geršgorin theorem is a well‐known result in eigenvalue localization area. In this paper, using diagonal scaling method, we obtain more Geršgorin‐type localizations for the eigenvalues of the Schur complement using the entries of the original matrix instead of the entries of the Schur complement. We deal with classes of matrices with some form of diagonal dominance. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:istex:78EDE2DFFB53067F7D354A0C3D70FF7D091DB89A
ArticleID:PAMM201310201
ark:/67375/WNG-3Z2QCG6W-B
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201310201