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On perturbations of matrix pencils with real spectra, a revisit |
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| Authors: | Ren-Cang Li. |
| Affiliation: | Department of Mathematics, University of Kentucky, Lexington, KY 40506 |
| Abstract: | This paper continues earlier studies by Bhatia and Li on eigenvalue perturbation theory for diagonalizable matrix pencils having real spectra. A unifying framework for creating crucial perturbation equations is developed. With the help of a recent result on generalized commutators involving unitary matrices, new and much sharper bounds are obtained. |
| Keywords: | Diagonalizable matrix pencil definite pencil real spectrum unitarily invariant norm perturbation bound |
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