Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On perturbations of matrix pencils with real spectra, a revisit

Author: Ren-Cang Li
Journal: Math. Comp. 72 (2003), 715-728
MSC (2000): Primary 15A22, 15A42, 65F15
Published electronically: May 16, 2002
MathSciNet review: 1954964
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2000): 15A22, 15A42, 65F15

Retrieve articles in all journals with MSC (2000): 15A22, 15A42, 65F15

Additional Information

Ren-Cang Li
Affiliation: Department of Mathematics, University of Kentucky, Lexington, KY 40506

Keywords: Diagonalizable matrix pencil, definite pencil, real spectrum, unitarily invariant norm, perturbation bound
Received by editor(s): January 10, 2001
Received by editor(s) in revised form: August 24, 2001
Published electronically: May 16, 2002
Additional Notes: This work was supported in part by the National Science Foundation under Grant No. ACI-9721388 and by the National Science Foundation CAREER award under Grant No. CCR-9875201.
Article copyright: © Copyright 2002 American Mathematical Society