Polar Decompositions in Finite Dimensional Indefinite Scalar Product Spaces: Special Cases and Applications
Yuri Bolshakov, Cornelis V. M. van der Mee, André C. M. Ran, Boris Reichstein, Leiba Rodman · Birkhäuser Basel eBooks · 1996
Polar decompositions X = UA of real and complex matrices X with respect to the scalar product generated by a given indefinite nonsingular matrix H are studied in the following special cases: (1) X is an H -contraction, (2) X is an H -plus matrix, (3) H has only one positive eigenvalue, and (4) U belongs to the connected component of the identity in the group of H -unitary matrices. Applications to linear optics are presented. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.