New Douglas--Rachford Algorithmic Structures and Their Convergence Analyses
New Douglas--Rachford Algorithmic Structures and Their Convergence Analyses
In this paper we study new algorithmic structures with Douglas--Rachford (DR) operators to solve convex feasibility problems. We propose to embed the basic two-set-DR algorithmic operator into the string-averaging projections and into the block-iterative projection algorithmic structures, thereby creating new DR algorithmic schemes that include the recently proposed cyclic DR …