Diagonal scaling in eigenvalue localization for the Schur complement |
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| Authors: | Ljiljana Cvetkovi? Maja Nedovi? |
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| Institution: | 1. Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000, Novi Sad, Serbia;2. Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 6, 21000, Novi Sad, Serbia |
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| Abstract: | Ger?gorin theorem is a well-known result in eigenvalue localization area. In this paper, using diagonal scaling method, we obtain more Ger?gorin-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) |
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