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Type: Artigo de periódico
Title: Reverse order law for reflexive generalized inverses of products of matrices
Author: De Pierro, AR
Wei, MS
Abstract: The relationships between generalized inverses of the product of two matrices A; B and the product of generalized inverses of A, B have been studied in the literature. By applying the product singular value decomposition (P-SVD), in this paper we derive equivalent conditions for B{1,2}A{1,2} subset of or equal to (AB){1,2}, (AS){1,2}subset of or equal to B{1,2}A{1,2}, B{1,2}A{1,2} = (AB){1,2}, and equivalent conditions for (AB){1} subset of or equal to B{1} A{1}, (C) 1998 Elsevier Science Inc. All rights reserved.
Subject: g-inverse
reflexive g-inverse
product of two matrices
product singular value decomposition
Country: EUA
Editor: Elsevier Science Inc
Citation: Linear Algebra And Its Applications. Elsevier Science Inc, v. 277, n. 41699, n. 299, n. 311, 1998.
Rights: fechado
Identifier DOI: 10.1016/S0024-3795(97)10068-4
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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