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On pseudospectra of matrix polynomials and their boundaries
Author(s):
Lyonell
Boulton;
Peter
Lancaster;
Panayiotis
Psarrakos.
Journal:
Math. Comp.
77
(2008),
313-334.
MSC (2000):
Primary 65F15;
Secondary 65F35, 93D09
Posted:
May 11, 2007
MathSciNet review:
2353955
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Additional information
Abstract:
In the first part of this paper (Sections 2-4), the main concern is with the boundary of the pseudospectrum of a matrix polynomial and, particularly, with smoothness properties of the boundary. In the second part (Sections 5-6), results are obtained concerning the number of connected components of pseudospectra, as well as results concerning matrix polynomials with multiple eigenvalues, or the proximity to such polynomials.
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Additional Information:
Lyonell
Boulton
Affiliation:
Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 2AS, United Kingdom
Peter
Lancaster
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary AB, Canada T2N 1N4
Panayiotis
Psarrakos
Affiliation:
Department of Mathematics, National Technical University, Zografou Campus, 5780 Athens, Greece
DOI:
10.1090/S0025-5718-07-02005-4
PII:
S 0025-5718(07)02005-4
Keywords:
Matrix polynomials,
perturbation of eigenvalues,
singular values,
pseudospectra.
Received by editor(s):
April 6, 2006
Received by editor(s) in revised form:
October 29, 2006
Posted:
May 11, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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