Y. Bolshakov et al., POLAR DECOMPOSITIONS IN FINITE-DIMENSIONAL INDEFINITE SCALAR PRODUCT-SPACES - GENERAL-THEORY, Linear algebra and its applications, 261, 1997, pp. 91-141
Several classes of polar decompositions of real and complex matrices w
ith respect to a given indefinite scalar product are studied. Matrices
that admit such polar decompositions are described in various ways. I
n particular, a full description of all polar decompositions of a give
n matrix up to the natural similarity between polar decompositions is
given. (C) Elsevier Science Inc., 1997.