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On classification of normal matrices in indefinite inner product spaces: the complex case

Please always quote using this URN:urn:nbn:de:0296-matheon-2157
  • 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.

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Metadaten
Author:Christian Mehl
URN:urn:nbn:de:0296-matheon-2157
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/01/25
Release Date:2005/01/24
Institute:Technische Universität Berlin
Preprint Number:206
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