OCApr 23, 2008
On The Behavior of Subgradient Projections Methods for Convex Feasibility Problems in Euclidean SpacesDan Butnariu, Yair Censor, Pini Gurfil et al.
We study some methods of subgradient projections for solving a convex feasibility problem with general (not necessarily hyperplanes or half-spaces) convex sets in the inconsistent case and propose a strategy that controls the relaxation parameters in a specific self-adapting manner. This strategy leaves enough user-flexibility but gives a mathematical guarantee for the algorithm's behavior in the inconsistent case. We present numerical results of computational experiments that illustrate the computational advantage of the new method.