Representations and norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices

摘要

A multiplicative perturbation of a matrix T is an element of C-mxn has the form ETF* with E is an element of C-mxm and F is an element of C-nxn, which can be expressed alternatively as LET(R-F)*, where T+ is the Moore-Penrose inverse of T, L-E and R-F are introduced as