On perturbations of matrix pencils with real spectra, a revisit

Li, Ren-Cang

doi:10.1090/S0025-5718-02-01449-7

On perturbations of matrix pencils with real spectra, a revisit
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Math. Comp. 72 (2003), 715-728 Request permission

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.

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