a b s t r a c tIn this paper, we develop conditions under which the Sherman-Morrison-Woodbury formula can be represented in the Moore-Penrose inverse and the generalized Drazin inverse forms. These results generalize the original Sherman-Morrison-Woodbury formula.
This paper is to present some equivalent conditions concerning the reverse order law (AB) # = B # A # for the group invertible operators A, B on a Hilbert space H.
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