On perturbations of matrix pencils with real spectra, a revisit-Reference-Cited by-同舟云学术

On perturbations of matrix pencils with real spectra, a revisit

Published:2002-05-16 Issue:242 Volume:72 Page:715-728
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Li Ren-Cang

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2003-72-242/S0025-5718-02-01449-7/S0025-5718-02-01449-7.pdf

Reference18 articles.

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4. Some inequalities for commutators and an application to spectral variation. II;Bhatia, Rajendra;Linear and Multilinear Algebra,1997

5. On perturbations of matrix pencils with real spectra. II;Bhatia, Rajendra;Math. Comp.,1996

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