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Reverse order laws for generalized inverses of multiple matrix products

✍ Scribed by Musheng Wei

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
142 KB
Volume
293
Category
Article
ISSN
0024-3795

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✦ Synopsis

In this article we study reverse order laws for generalized inverses and re¯exive generalized inverses of the products of multiple matrices e 1 Y F F F Y e n and the products of generalized inverses and re¯exive generalized inverses of e n Y F F F Y e 1 . By applying the multiple product singular value decomposition, we obtain necessary and sucient conditions for one side inclusion relation of reverse order law for generalized inverses, and necessary and sucient conditions of reverse order law for re¯exive generalized inverses.

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