The cyclic Douglas–Rachford algorithm with r-sets-Douglas–Rachford operators
Francisco J. Aragón Artacho, Yair Censor, Aviv Gibali · Optimization methods & software · 2018
The Douglas–Rachford (DR) algorithm is an iterative procedure that uses sequential reflections onto convex sets and which has become popular for convex feasibility problems. In this paper we propose a structural generalization that allows to use r-sets-DR operators in a cyclic fashion. We prove convergence and present numerical illustrations of the potential advantage of such operators with r>2 over the classical 2-sets-DR operators in a cyclic algorithm.