Jordan forms of real and complex matrices under rank one perturbations
Please always quote using this URN:urn:nbn:de:0296-matheon-8613
- New perturbation results for the behavior of eigenvalues and Jordan forms of real and complex matrices under generic rank one perturbations are discussed. Several results that are available in the complex case are proved as well for the real case and the assumptions on the genericity are weakened. Rank one perturbations that lead to maximal algebraic multiplicities of the ``new" eigenvalues are also discussed.
Author: | Christian Mehl, Volker Mehrmann, André Ran, Leiba Rodman |
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URN: | urn:nbn:de:0296-matheon-8613 |
Referee: | Jürg Kramer |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2011/07/03 |
Release Date: | 2011/07/03 |
Institute: | Technische Universität Berlin |
MSC-Classification: | 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A18 Eigenvalues, singular values, and eigenvectors |
Preprint Number: | 803 |