2013•FilomatOpen access

The mixed-type reverse order laws for generalized inverses of the product of two matrices

Zhiping Xiong

Abstract

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.

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Key concepts: Mathematics, Order (exchange), Type (biology), Generalized inverse, Product (mathematics), Pure mathematics, Matrix (chemical analysis), Generalized linear array model