Perturbation Analysis of the Generalized Bott-Duffin Inverse of L-zero Matrices(II)(English)
Maotian Li, Zhongyuan Chen, Xue Yuanzhong, Qinghua Gu · Huadong Shifan Daxue xuebao. Ziran kexue ban · 2005
Let L be a subspace of F~n and P_l be the orthogonal projection of F~n onto L, where F=C or R. Let A be an n×n matrix. In this paper, we will give the perturbation analysis of the generalized Bott-Duffin inverse A_((L))~((+))=P_l(AP_l+I-P_l)~+ when A and L have small perturbation. Using this result, we establish a perturbation analysis to the least squares solution of the system Ax+B~*y=b, Bx=d under certain small perturbation of A and B.