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Relative eigenvalue and singular value perturbations of scaled diagonally dominant matrices |
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| Authors: | J Matejaš V Hari |
| Institution: | (1) Faculty of Economics, University of Zagreb, Kennedyjev trg 6, 10000 Zagreb, Croatia;(2) Department of Mathematics, University of Zagreb, P.O. Box 335, 10002 Zagreb, Croatia |
| Abstract: | The paper derives improved relative perturbation bounds for the eigenvalues of scaled diagonally dominant Hermitian matrices and new relative perturbation bounds for the singular values of symmetrically scaled diagonally dominant square matrices. The perturbation result for the singular values enlarges the class of well-behaved matrices for accurate computation of the singular values. AMS subject classification (2000) 65F15 |
| Keywords: | Hermitian matrix eigenvalues scaled diagonally dominant matrix singular values symmetric scaling relative perturbations |
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