ELA, Volume 5, pp. 67-103, May 1999, abstract. Structured Jordan Canonical Forms for Structured Matrices that are Hermitian, Skew Hermitian or Unitary with Respect to Indefinite Inner Products Volker Mehrmann and Hongguo Xu For inner products defined by an indefinite sign matrix, canonical forms for real or complex Hermitian, skew Hermitian and unitary matrices are studied under equivalence transformations which keep the class invariant.