From convex feasibility to convex constrained optimization using block action projection methods and underrelaxation

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)We describe the evolution of projection methods for solving convex feasibility problems to optimization methods when inconsistency arises, finally deriving from them, in a natural way, a general block method for convex constrained optimization. We present convergence results.164495504Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq [476825/2004-0, 304820/2006-7