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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.

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Metadaten
Author:Christian Mehl, Volker Mehrmann, André Ran, Leiba Rodman
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
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