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• W2025416557 abstract "Square complex matrices A, B are said to be consimilar if A=SBS̄−1 for some nonsingular matrix S. Consimilarity is an equivalence relation that is a natural matrix generalization of rotation of scalars in the complex plane. We survey the known forms to which a given complex matrix may be reduced by unitary consimilarity and describe a canonical form to which it may be reduced by a general consimilarity. We derive a useful criterion for two matrices to be consimilar and show that every matrix is consimilar to its own conjugate, transpose, and adjoint, to a real matrix, and to a Hermitian matrix." @default.
• W2025416557 created "2016-06-24" @default.
• W2025416557 creator A5026278090 @default.
• W2025416557 creator A5073752893 @default.
• W2025416557 date "1988-04-01" @default.
• W2025416557 modified "2023-09-26" @default.
• W2025416557 title "A canonical form for matrices under consimilarity" @default.
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• W2025416557 doi "https://doi.org/10.1016/0024-3795(88)90324-2" @default.
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