DISSIPATIVE MATRICES AND INVARIANT MAXIMAL SEMIDEFINITE SUBSPACES

Authors
RAN ACM TEMME D
Citation
Acm. Ran et D. Temme, DISSIPATIVE MATRICES AND INVARIANT MAXIMAL SEMIDEFINITE SUBSPACES, Linear algebra and its applications, 212, 1994, pp. 169-214
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
212
Year of publication
1994
Pages
169 - 214
Database
ISI
SICI code
0024-3795(1994)212:<169:DMAIMS>2.0.ZU;2-W
Abstract
An explicit construction of invariant maximal semidefinite subspaces f or a dissipative matrix in an indefinite scalar product is given. Nece ssary and sufficient conditions for uniqueness of such a subspace are given. These subspaces play an important role in the explicit construc tion of pseudo-canonical factorizations for certain rational matrix va lued functions.