TY - GEN A1 - Mehl, Christian A1 - Mehrmann, Volker A1 - Wojtylak, Michal T1 - Parameter-dependent rank-one perturbations of singular Hermitian or symmetric pencils N2 - Structure-preserving generic low-rank perturbations are studied for classes of structured matrix pencils, including real symmetric, complex symmetric, and complex Hermitian pencils. For singular pencils it is analyzed which characteristic quantities stay invariant in the perturbed canonical form, and it is shown that the regular part of a structured matrix pencil is not affected by generic perturbations of rank one. When the rank one perturbations involve a scaling parameter, the behavior of the canonical forms in dependence of this parameter is analyzed as well. KW - Hermitian pencils KW - symmetric pencils KW - singular pencils KW - structured Kronecker canonical form KW - generic low-rank perturbations Y1 - 2016 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1371 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13714 ER -