Perturbation of Purely Imaginary Eigenvalues of Hamiltonian Matrices under Structured Perturbations
Please always quote using this URN:urn:nbn:de:0296-matheon-4217
- We discuss the perturbation theory for purely imaginary eigenvalues of Hamiltonian matrices under Hamiltonian and non-Hamiltonian perturbations. We show that there is a substantial difference in the behavior under these perturbations. We also discuss the perturbation of real eigenvalues of real skew-Hamiltonian matrices under structured perturbations and use these results to analyze the properties of the URV method of computing the eigenvalues of Hamiltonian matrices.
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| Author: | Volker Mehrmann, Hongguo Xu |
|---|---|
| URN: | urn:nbn:de:0296-matheon-4217 |
| Referee: | Andreas Griewank |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2007/04/10 |
| Release Date: | 2007/01/10 |
| Tag: | |
| Institute: | Technische Universität Berlin |
| 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 | |
| 65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F35 Matrix norms, conditioning, scaling [See also 15A12, 15A60] | |
| Preprint Number: | 410 |
