Jordan forms of real and complex matrices under rank one perturbations
Date
2013Author
Mehl, Christian
Ran, André C. M.
Mehrmann, Volker
Rodman, Leiba
Metadata
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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