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

Authors:
Heinz H. Bauschke;Patrick L. Combettes;D. Russell Luke
Affiliations:
Mathematics, Irving K. Barber School, UBC Okanagan, Kelowna, BC, Canada;Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie--Paris, Paris, France;Department of Mathematical Sciences, University of Delaware, Newark, Delaware
Venue:
Journal of Approximation Theory
Year:
2006

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Abstract

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.