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On classification of normal matrices in indefinite inner product spaces
The Electronic Journal of Linear Algebra
Canonical forms are developed for several sets of matrices that are normal with respect to an indefinite inner product induced by a nonsingular Hermitian, symmetric, or skewsymmetric 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 complex matrices that are selfadjoint, skewadjoint, or unitary with respect to thedoi:10.13001/1081-3810.1220 fatcat:xlcaxny2yzh4hbmiva5mkp7xmy