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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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Metadaten
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
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