Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/74619
Type: Artigo de periódico
Title: Steered sequential projections for the inconsistent convex feasibility problem
Author: Censor, Y
De Pierro, AR
Zaknoon, M
Abstract: We study a steered sequential gradient algorithm which minimizes the sum of convex functions by proceeding cyclically in the directions of the negative gradients of the functions and using steered step-sizes. This algorithm is applied to the convex feasibility problem by minimizing a proximity function which measures the sum of the Bregman distances to the members of the family of convex sets. The resulting algorithm is a new steered sequential Bregman projection method which generates sequences that converge if they are bounded, regardless of whether the convex feasibility problem is or is not consistent. For orthogonal projections and affine sets the boundedness condition is always fulfilled. (C) 2004 Elsevier Ltd. All rights reserved.
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.na.2004.07.018
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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