TY - GEN A1 - Mehl, Christian A1 - Mehrmann, Volker A1 - Ran, Andre A1 - Rodman, Leiba T1 - Eigenvalue perturbation theory of structured matrices under generic structured rank one perturbations: General results and complex matrices N2 - We study the perturbation theory of structured matrices under structured rank one perturbations, and then focus on several classes of complex matrices. Generic Jordan structures of perturbed matrices are identified. It is shown that the perturbation behavior of the Jordan structures is substantially different from the corresponding theory for unstructured generic rank one perturbations. KW - structured matrices KW - Brunovsky form KW - complex Hamiltonian Jordan form KW - perturbation analysis KW - generic perturbation KW - rank one perturbation Y1 - 2009 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/668 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-6684 ER -