Jordan forms of real and complex matrices under rank one perturbations
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Date
Authors
Mehl, Christian
Ran, André C. M.
Mehrmann, Volker
Rodman, Leiba
Journal Title
Journal ISSN
Volume Title
Publisher
Element, Zagreb
Abstract
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
Description
Citation
Mehl, C. et al. 2013. Jordan forms of real and complex matrices under rank one perturbations. Operators and matrices, 7(2):381-398. [http://oam.ele-math.com/]