Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications

VAN DER MEE, CORNELIS VICTOR MARIA;
1996-01-01

Abstract

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.
1996
Inglese
Recent Developments in Operator Theory and its Applications. International Conference in Winnipeg, October 2-6, 1994
OPERATOR THEORY
I. GOHBERG,P. LANCASTER, P.N. SHIVAKUMAR
OT 87
61
94
34
Birkhauser
BASEL
978-3-0348-9879-2
Esperti anonimi
Errata: Integral Equations and Operator Theory 27, 497-501 (1997)
info:eu-repo/semantics/bookPart
2.1 Contributo in volume (Capitolo o Saggio)
Bolshakov, Y. U.; VAN DER MEE, CORNELIS VICTOR MARIA; A. C. M., Ran; B., Reichstein; L., Rodman
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
5
268
none
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