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

Authors:
Naimin Zhang;Yimin Wei
Affiliations:
Institute of Mathematics, Fudan University, Shanghai 200433, China;Department of Mathematics, Fudan University, Shanghai 200433, China
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 2
Cited 1

Matrix computations (3rd ed.)

Matrix computations (3rd ed.)
On the perturbation of the group inverse and oblique projection

Applied Mathematics and Computation

Condition number related with generalized inverse AT,S(2) and constrained linear systems

Journal of Computational and Applied Mathematics

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Abstract

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 A(2)T,S and constrained linear system Ax = b, x ∈ T which are similar to the regular inverse A-1 and nonsingular linear system Ax = b.