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A WEAK-TO-STRONGCONVERGENCE PRINCIPLE FOR FEJÉR-MONOTONE METHODS IN HILBERT SPACES

By Heinz H. Bauschke and Patrick L. Combettes

Abstract

We consider a wide class of iterative methods arising in numerical mathematics and optimization that are known to converge only weakly. Exploiting an idea originally proposed by Haugazeau, we present a simple modification of these methods that makes them strongly convergent without additional assumptions. Several applications are discussed

Year: 2001
OAI identifier: oai:CiteSeerX.psu:10.1.1.187.3143
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