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

Authors

Jiu Ding, University of Southern MississippiFollow

Document Type

Article

Publication Date

9-15-1993

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We present a perturbation analysis for the projection of a point to an affine set in Rⁿ. 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

Recommended Citation

Ding, J. (1993). Perturbation Analysis for the Projection of a Point to an Affine Set. Linear Algebra and Its Applications, 191, 199-212.
Available at: https://aquila.usm.edu/fac_pubs/6642