TY - GEN A1 - Byers, Ralph A1 - Kressner, Daniel T1 - On the Condition of a Complex Eigenvalue under Real Perturbations N2 - We investigate the condition number for a complex eigenvalue of a real matrix under real perturbations. Based on an explicit formula, it is shown that this number is never smaller than 1/ p 2 times the corresponding condition number with respect to complex perturbations. This result can be generalized to the condition number of an arbitrary complex-valued function under real perturbations. This extends to related condition numbers. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/116 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1162 ER -