When does the Moore-Penrose inverse flip?
Robert E. Hartwig, Pedro Henrique de Bitencourt Patricio · Operators and Matrices · 2012
In this paper, we give necessary and sufficient conditions for the matrix a 0 b d , over a *-regular ring, to have a Moore-Penrose inverse of four different types, corresponding to the four cases where the zero element can stand. In particular, we study the case where the Moore-Penrose inverse of the matrix flips.