Groenewald, G.J.Janse van Rensburg, D.B.Ran, A.C.M.2017-03-142017-03-142016Groenewald, 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]1846-38861848-9974 (Online)http://hdl.handle.net/10394/20804http://dx.doi.org/10.7153/oam-10-46http://oam.ele-math.com/10-46/A-canonical-form-for-H-unitary-matricesIn 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 wellenIndefinite inner product spaceCanonical formsH -unitary matricesArticle