On the Continuity and Pertubation of W-Weighted Drazin Inverse
Uo L · Huadong Shifan Daxue xuebao. Ziran kexue ban · 1992
The paper presents the continuity properties and the error bound of the Drazin inverse of a rectangular matrix.The main result of this paper is presented as follows: (i) Suppose that rank (AW)~k=rank (BW)~k and B→A, then B_(d,w)→A_(d,w) (ii) Suppose that rank(AW)~k≠rank(BW)~k and B→A, then ||B_(d,w)||→+∞ On the case that rank (AW)~k=rank(BW)~k, an upper bound of ||B_(d,w)-A_(d,w)|| is given.