On pseudospectra of matrix polynomials and their boundaries

Lyonell Boulton; Peter Lancaster; Panayiotis Psarrakos

doi:10.1090/S0025-5718-07-02005-4

On pseudospectra of matrix polynomials and their boundaries

Lyonell Boulton
, Peter Lancaster
, Panayiotis Psarrakos

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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.

Original language	English
Pages (from-to)	313-334
Number of pages	22
Journal	Mathematics of Computation
Volume	77
Issue number	261
DOIs	https://doi.org/10.1090/S0025-5718-07-02005-4
Publication status	Published - 2008

Keywords

Matrix polynomials
Perturbation of eigenvalues
Pseudospectra
Singular values

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-07-02005-4

Cite this

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AU - Lancaster, Peter

AU - Psarrakos, Panayiotis

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AB - 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.

KW - Matrix polynomials

KW - Perturbation of eigenvalues

KW - Pseudospectra

KW - Singular values

UR - https://www.scopus.com/pages/publications/38849183362

U2 - 10.1090/S0025-5718-07-02005-4

DO - 10.1090/S0025-5718-07-02005-4

M3 - Article

AN - SCOPUS:38849183362

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JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 261

ER -

On pseudospectra of matrix polynomials and their boundaries

Abstract

Keywords

ASJC Scopus subject areas

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