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Titolo:
Schur complements and matrix inequalities in the Lowner ordering
Autore:
Zhang, FZ;
Indirizzi:
Nova SE Univ, Dept Math Sci & Technol, Ft Lauderdale, FL 33314 USA Nova SEUniv Ft Lauderdale FL USA 33314 hnol, Ft Lauderdale, FL 33314 USA
Titolo Testata:
LINEAR ALGEBRA AND ITS APPLICATIONS
fascicolo: 1-3, volume: 321, anno: 2000,
pagine: 399 - 410
SICI:
0024-3795(200012)321:1-3<399:SCAMII>2.0.ZU;2-W
Fonte:
ISI
Lingua:
ENG
Soggetto:
HADAMARD-PRODUCTS;
Keywords:
correlation matrix; Hadamard product; Kronecker product; Lowner ordering; matrix inequality; positive semi-definite matrix; principal submatrix; Schur complement;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
26
Recensione:
Indirizzi per estratti:
Indirizzo: Zhang, FZ Nova SE Univ, Dept Math Sci & Technol, 3301 Coll Ave, Ft Lauderdale, FL 33314 USA Nova SE Univ 3301 Coll Ave Ft Lauderdale FL USA 33314 33314 USA
Citazione:
F.Z. Zhang, "Schur complements and matrix inequalities in the Lowner ordering", LIN ALG APP, 321(1-3), 2000, pp. 399-410

Abstract

The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies the proofs of many existing matrix inequalities in the Lowner partial ordering on the sum, ordinary product, and Hadamard (Schur) product. Schur complements serve as the basic tool. (C) 2000 Elsevier Science Inc. All rights reserved. AMS classification: 15A45.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 26/09/20 alle ore 04:22:19