TY - GEN A1 - Mehl, Christian A1 - Mehrmann, Volker A1 - Ran, André A1 - Rodman, Leiba T1 - Jordan forms of real and complex matrices under rank one perturbations N2 - 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. Y1 - 2011 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/861 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-8613 ER -