Perturbation bounds for the generalized inverses AT,S(2) with application to constrained linear system

In this paper, the more general perturbation problem of the generalized inverse A(T,S)((2)) is considered. We derive its perturbation bounds when the subspaces T and S also have perturbation. And in special case, when T and S have no perturbation, we get some results on the condition numbers with respect to A(T,S)((2)) and constrained linear system Ax=b, x is an element of T which are similar to the regular inverse A(-1) and nonsingular linear system Ax=b. (C) 2002 Elsevier Science Inc. All rights reserved.