Structured Jordan canonical forms for structured matrices that are hermitian, skew hermitian or unitary with respect to indefinite inner products
Volker Mehrmann, Hongguo Xu · Electronic Journal of Linear Algebra · 1999
For inner products defined by a symmetric indefinite matrix \\Sigma p;q , we study canonical forms for real or complex \\Sigma p;q -Hermitian matrices, \\Sigma p;q -skew Hermitian matrices and \\Sigma p;q -unitary matrices under equivalence transformations which keep the class invariant.