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A canonical form for H-unitary matrices

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Groenewald, G.J.
Janse van Rensburg, D.B.
Ran, A.C.M.

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Ele-Math

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In this paper matrices A are considered that have the property that A∗HA = H ,where H = H∗ is invertible. A canonical form is given for the pair of matrices (A,H) under transformations (A,H) → ( S−1AS,S∗HS), where S is invertible, in which the canonical form for the A -matrix is the usual Jordan canonical form. The real case is studied as well

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Groenewald, G.J. et al. 2016. A canonical form for H-unitary matrices. Operators and matrices, 10(4):739-783. [http://dx.doi.org/10.7153/oam-10-46]

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