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Linear Convergence of the Douglas-Rachford Method for Two Closed Sets

arXiv 1401.6509 ↗First posted 25 Jan 2014math.OC cs.NA math.NAcited by 1

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Abstract (arXiv)

In this paper, we investigate the Douglas-Rachford method for two closed (possibly nonconvex) sets in Euclidean spaces. We show that under certain regularity conditions, the Douglas-Rachford method converges locally with R-linear rate. In convex settings, we prove that the linear convergence is global. Our study recovers recent results on the same topic.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). First posted on arXiv 25 Jan 2014.

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