On perturbations of matrix pencils with real spectra, a revisit
Author:
RenCang Li
Journal:
Math. Comp. 72 (2003), 715728
MSC (2000):
Primary 15A22, 15A42, 65F15
Published electronically:
May 16, 2002
MathSciNet review:
1954964
Fulltext PDF Free Access
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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.
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Additional Information
RenCang Li
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, KY 40506
Email:
rcli@ms.uky.edu
DOI:
http://dx.doi.org/10.1090/S0025571802014497
PII:
S 00255718(02)014497
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. ACI9721388 and by the National Science Foundation CAREER award under Grant No. CCR9875201.
Article copyright:
© Copyright 2002 American Mathematical Society
