On reverse order laws for the weighted generalized inverse

الملخص EN

In this paper we study the reverse order laws for several types of weighted generalized inverses including the weighted least square g−inverse and the weighted minimum norm g−inverse of a product of two matrices by using the expressions of maximal and minimal ranks of generalized Schur complements.

Necessary and sufficient conditions for the reverse order laws of these weighted generalized inverses to hold are presented.