A note on the perturbation of an outer inverse

Calculating the Weighted Moore–Penrose Inverse by a High Order Iteration Scheme

“…In this work, A # = N −1 A * M is used as the weighted matrix of the conjugate transpose of A. See [19] for more details.…”

Perturbation analysis of A_{T,S}^(2) on Banach Spaces

“…[5,6]). It is well-known that the commonly five kinds of generalized inverse: the Moore-Penrose inverse A + , the weighted Moore-Penrose inverse A + M N , the Drazin inverse A D , the group inverse A # and the Bott-Duffin inverse A (−1) (L) can be reduced to a A (2) T,S for certain choices of T and S. The perturbation analysis of A (2) T,S have been studied by several authors (see [12,13], [16,17]) when X and Y are of finite-dimensional. A lot of results about the error bounds have been obtained.…”

“…(2) T,S have been studied by several authors (see [12,13], [16,17]) when X and Y are of finite-dimensional. A lot of results about the error bounds have been obtained.…”