Eigenvalues of symmetrizable matrices |
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| Authors: | Rajendra Bhatia Fuad Kittaneh Ren-Cang Li |
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| Institution: | (1) Indian Statistical Institute, 110 016 New Delhi, India;(2) Department of Mathematics, University of Jordan, Amman, Jordan;(3) Department of Mathematics, University of Kentucky, 40506 Lexington, Kentucky |
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| Abstract: | New perturbation theorems for matrices similar to Hermitian matrices are proved for a class of unitarily invariant norms calledQ-norms. These theorems improve known results in certain circumstances and extend Lu's theorems for the spectral norm, see
Numerical Mathematics: a Journal of Chinese Universities, 16 (1994), pp. 177–185] toQ-norms.
This material is based in part upon the third author's work supported from August 1995 to December 1997 by a Householder Fellowship
in Scientific Computing at Oak Ridge National Laboratory, supported by the Applied Mathematical Sciences Research Program,
Office of Energy Research, United States Department of Energy contract DE-AC05-96OR22464 with Lockheed Martin Energy Research
Corp. |
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| Keywords: | 15A42 65G99 |
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