4.2 Article

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space

Journal

JOURNAL OF APPROXIMATION THEORY
Volume 141, Issue 1, Pages 63-69

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jat.2006.01.003

Keywords

best approximation problem; convex set; projection; strong convergence

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A new iterative method for finding the projection onto the intersection of two closed convex sets in a Hilbert space is presented. It is a Haugazeau-like modification of a recently proposed averaged alternating reflections method which produces a strongly convergent sequence. (C) 2006 Elsevier Inc. All rights reserved.

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