TY - GEN A1 - Karow, Michael T1 - $\mu$-values and spectral value sets for linear perturbation classes defined by a scalar product N2 - We study the variation of the spectrum of matrices under perturbations which are self- or skew-adjoint with respect to a scalar product. Computable formulae are given for the associated $\mu$-values. The results can be used to calculate spectral value sets for the perturbation classes under consideration. We discuss the special case of complex Hamiltonian perturbations of a Hamiltonian matrix in detail. KW - linear systems KW - eigenvalues KW - perturbations KW - spectral value sets KW - $\mu$-values Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/418 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4188 ER -