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Reverse order law for reflexive generalized inverses of products of matrices

✍ Scribed by Alvaro R. De Pierro; Musheng Wei

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
451 KB
Volume
277
Category
Article
ISSN
0024-3795

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✦ Synopsis

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 (poSVD), in this paper we derive equivalent conditions for B{1,2}A{1,2}C_(AB){1,2}, (AB){I,2}C_B{1,2}A{1,2}, B{I,2}A{1,2}=(AB){1,2}, and equivalent conditions for (AB){1}CB{1} A{1}.

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