论文信息 - The reverse order law (AB)− = B−A−

The reverse order law (AB)− = B−A−

Abstract Some new results on “reverse order law” related to the generalized inverse of the product of two matrices are obtained, and Greville's and others' previous results are extended. The main result is that the Moore-Penrose inverse of AB can always be expressed as B−A− for some generalized inverse A− of A and B− of B. Some of the proofs are based on conditions for a product of projectors to be a projector.

Masaaki Sibuya | Nobuo Shinozaki | M. Sibuya | Nobuo Shinozaki

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