𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Equivalent conditions for generalized inverses of products

✍ Scribed by Musheng Wei

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
713 KB
Volume
266
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ 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, and equivalent conditions for B{l)A{l} G ( ABXl} have been reported. By applying the product singular value decomposition, we derive more equivalent conditions for B{l)A(l} G (AB){l}, and derive equivalent conditions for B{l)A{l) = (AB){l].

πŸ“œ SIMILAR VOLUMES

Reverse order laws for generalized inver
Reverse order laws for generalized inverses of multiple matrix products
✍ Musheng Wei πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 142 KB

In this article we study reverse order laws for generalized inverses and reΒ―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 reΒ―exive generalized inverses of e n Y F F F Y e 1 . By applying the multiple product singular va

Reverse order law for reflexive generali
Reverse order law for reflexive generalized inverses of products of matrices
✍ Alvaro R. De Pierro; Musheng Wei πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 451 KB

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){