Schur complements and matrix inequalities in the Lowner ordering

Authors
Zhang, FZ
Citation
Fz. Zhang, Schur complements and matrix inequalities in the Lowner ordering, LIN ALG APP, 321(1-3), 2000, pp. 399-410
Citations number
26
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
321
Issue
1-3
Year of publication
2000
Pages
399 - 410
Database
ISI
SICI code
0024-3795(200012)321:1-3<399:SCAMII>2.0.ZU;2-W
Abstract
The purpose of this paper is to present a matrix inequality on the Kronecke r product that unifies the proofs of many existing matrix inequalities in t he Lowner partial ordering on the sum, ordinary product, and Hadamard (Schu r) product. Schur complements serve as the basic tool. (C) 2000 Elsevier Sc ience Inc. All rights reserved. AMS classification: 15A45.