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.
Author: | Michael Karow |
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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 |