The forward order law for Moore-Penrose inverse of multiple matrix product

Wanna Zhou, Zhiping Xiong, Yingying Qin · Filomat · 2023

The relationship between the forward order law product A? 1A? 2...A? n of the Moore-Penrose inverses of A1,A2,... ,An and the seven common types of generalized inverse of A1A2...An will be studied in this paper. Especially, we will give the necessary and sufficient condition for the n terms forward order law (A1A2...An)? = A? 1A? 2...A?n.

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