Wy. Sun et Ym. Wei, INVERSE ORDER RULE FOR WEIGHTED GENERALIZED INVERSE, SIAM journal on matrix analysis and applications (Print), 19(3), 1998, pp. 772-775
The weighted generalized inverses have several important applications
in researching the singular matrices, regularization methods for ill-p
osed problems, optimization problems, and statistics problems. In this
paper we establish some sufficient and necessary conditions for inver
se order rule of weighted generalized inverse.