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arxiv: 1604.04657 · v1 · pith:MIUZZNGHnew · submitted 2016-04-15 · 🧮 math.OC · cs.NA· math.FA· math.NA

On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces

classification 🧮 math.OC cs.NAmath.FAmath.NA
keywords algorithmconvergencedouglas-rachfordfeasibilityfiniteproblemssolvingapplied
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Solving feasibility problems is a central task in mathematics and the applied sciences. One particularly successful method is the Douglas-Rachford algorithm. In this paper, we provide many new conditions sufficient for finite convergence. Numerous examples illustrate our results.

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