Title

Perturbation Analysis for the Projection of a Point to an Affine Set

Document Type

Article

Publication Date

9-15-1993

Department

Mathematics

Abstract

We present a perturbation analysis for the projection of a point to an affine set in R(n). The matrix involved is not assumed to be full-rank, and the perturbation is arbitrary. Error bounds for the solution under the rank-preserving and rank-nondecreasing perturbations are obtained. The results given here appear to be the most general up to now.

Publication Title

Linear Algebra and Its Applications

Volume

191

First Page

199

Last Page

212