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arXiv · 1303.1859

A Cyclic Douglas-Rachford Iteration Scheme

Jonathan M. Borwein·Matthew K. Tam
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Abstract

In this paper we present two Douglas-Rachford inspired iteration schemes which can be applied directly to N-set convex feasibility problems in Hilbert space. Our main results are weak convergence of the methods to a point whose nearest point projections onto each of the N sets coincide. For affine subspaces, convergence is in norm. Initial results from numerical experiments, comparing our methods to the classical (product-space) Douglas-Rachford scheme, are promising.

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Jonathan M. Borwein, Matthew K. Tam. 2013-04-10. A Cyclic Douglas-Rachford Iteration Scheme. https://doi.org/10.1007/s10957-013-0381-x

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