The Mixed-Type Reverse Order Laws for Generalized Inverses of the Product of Two Matrices


Zhiping Xiong




The relationship between generalized inverses of $AB$ and the product of generalized inverses of $A$ and $B$ have been studied in this paper. The necessary and sufficient conditions for a number of mixed-type reverse order laws of generalized inverses of two matrix products are derived by using the maximal ranks of the generalized Schur complements.