POSSIBLE INERTIA COMBINATIONS IN THE STEIN AND LYAPUNOV EQUATIONS

Authors
DEALBA LM JOHNSON CR
Citation
Lm. Dealba et Cr. Johnson, POSSIBLE INERTIA COMBINATIONS IN THE STEIN AND LYAPUNOV EQUATIONS, Linear algebra and its applications, 222, 1995, pp. 227-240
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
222
Year of publication
1995
Pages
227 - 240
Database
ISI
SICI code
0024-3795(1995)222:<227:PICITS>2.0.ZU;2-W
Abstract
In the Stein (or, equivalently, the Lyapunov) equation, we show that t he only joint constraints on the inertias of the three matrices are th e classical definiteness and semidefiniteness constraints and a simple rank-related constraint.