Title

Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces

Document Type

Article

Publication Date

4-1-2002

Department

Mathematics

Abstract

Let X and Y be Hilbert spaces, and let T: X-->Y be a bounded linear operator with closed range. In this paper, we present an optimal perturbation result on the least squares solutions to the operator equation Tx=y under the most general condition. (C) 2002 Elsevier Science Ltd. All rights reserved.

Publication Title

APPLIED MATHEMATICS LETTERS

Volume

15

Issue

3

First Page

361

Last Page

365