Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces

Authors
van der Mee, CVM Ran, ACM Rodman, L
Citation
Cvm. Van Der Mee et al., Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces, LIN ALG APP, 303, 1999, pp. 77-104
Citations number
20
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
303
Year of publication
1999
Pages
77 - 104
Database
ISI
SICI code
0024-3795(199912)303:<77:SOSSRA>2.0.ZU;2-L
Abstract
Continuity properties of factors in polar decompositions of matrices with r espect to indefinite scalar products are studied. The matrix having the pol ar decomposition and the indefinite scalar product are allowed to vary. Clo sely related properties of a self-adjoint (with respect to an indefinite sc alar product) perturbed matrix to have a self-adjoint square root, or to ha ve a representation of the form X*X, are also studied. (C) 1999 Elsevier Sc ience Inc. All rights reserved.