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

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.

• Type: Journal
• Year: 2006
• Where: JAT
• Authors: Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
• Keywords: Convergent Sequence, Haugazeau-like Modification, Hilbert Space, JAT 2006