Reverse Order Law for Generalized Inverses with Indefinite Hermitian Weights

K. Kamaraj, Sam Johnson, Athira Satheesh K


In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse of a product of two matrices in an indefinite inner product space (IIPS) in which reverse order law holds good. Rank equivalence formulas with respect to IIPS are given and few open problems are listed at the end.


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