TY - GEN A1 - Mehl, Christian A1 - Mehrmann, Volker A1 - Wojtylak, Michal T1 - On the distance to singularity via low rank perturbations N2 - For regular matrix pencils the distance in norm to the nearest singular pencil under low rank perturbation is studied. Characterizations of this distance are derived via the Weyl function of the perturbation. Special attention is paid to the Hermitian pencil case. Estimates for the distance of a given pencil to the set of singular pencils are obtained. KW - low rank perturbation KW - singular pencil KW - distance to singularity KW - Weyl function Y1 - 2014 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1284 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-12843 ER -