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

摘要

In this paper, the more general perturbation problem of the generalized inverse AT,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 AT,S(2) and constrained linear system Ax=b, x∈T which are similar to the regular inverse A−1 and nonsingular linear system Ax=b.