TY - GEN A1 - Mehl, Christian T1 - On classification of normal matrices in indefinite inner product spaces: the complex case N2 - Canonical forms are developed for several sets of complex matrices that are normal with respect to an indefinite inner product induced by a nonsingular Hermitian, symmetric, or skew-symmetric matrix. The most general result covers the case of polynomially normal matrices, i.e., matrices whose adjoint with respect to the indefinite inner product is a polynomial of the original matrix. From this result, canonical forms for matrices that are selfadjoint, skewadjoint, or unitary with respect to the given indefinite inner product are derived. Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/215 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2157 ER -