In this paper, we develop conditions under which the Shermanâ€“Morrisonâ€“Woodbury formula can be represented in the Mooreâ€“Penrose inverse and the generalized Drazin inverse forms. These resultsâ€¦ (More)

We obtain necessary and sufficient conditions for 2Ã— 2 block operator valued matrices to be Moore-Penrose (MP) invertible and give new representations of such MP inverses in terms of the individualâ€¦ (More)

Let A be a bounded linear operator, PM be an orthogonal projection with range M and PM ,N be an idempotent with range M and kernel N . This paper presents some novel relations between Bott-Duffinâ€¦ (More)