POLAR DECOMPOSITIONS IN FINITE-DIMENSIONAL INDEFINITE SCALAR PRODUCT-SPACES - GENERAL-THEORY

Citation
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
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
261
Year of publication
1997
Pages
91 - 141
Database
ISI
SICI code
0024-3795(1997)261:<91:PDIFIS>2.0.ZU;2-G
Abstract
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.