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arXiv · 0804.3647

On The Behavior of Subgradient Projections Methods for Convex Feasibility Problems in Euclidean Spaces

Dan Butnariu·Yair Censor·Pini Gurfil·Ethan Hadar
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Abstract

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.

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Dan Butnariu, Yair Censor, Pini Gurfil, Ethan Hadar. 2008-04-23. On The Behavior of Subgradient Projections Methods for Convex Feasibility Problems in Euclidean Spaces. https://arxiv.org/abs/0804.3647

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