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Structured pseudospectra for small perturbations

Please always quote using this URN:urn:nbn:de:0296-matheon-5342
  • In this paper we study the shape and growth of structured pseudospectra for small matrix perturbations of the form $A \leadsto A_\Delta=A+B\Delta C$, $\Delta \in \DD$, $\|\Delta\|\leq \delta$. It is shown that the properly scaled pseudospectra components converge to non-trivial limit sets as $\delta$ tends to 0. We discuss the relationship of these limit sets with $\mu$-values and structured eigenvalue condition numbers for multiple eigenvalues.

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Metadaten
Author:Michael Karow
URN:urn:nbn:de:0296-matheon-5342
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/11/26
Release Date:2008/11/25
Tag:
Institute:Zuse Institute Berlin (ZIB)
MSC-Classification:15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A18 Eigenvalues, singular values, and eigenvectors
65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F15 Eigenvalues, eigenvectors
Preprint Number:530
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