Global convergence of a non-convex Douglas-Rachford iteration

Francisco J. Aragón Artacho; Jonathan M. Borwein

doi:10.1007/s10898-012-9958-4

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arXiv · 1203.2392

Global convergence of a non-convex Douglas-Rachford iteration

Francisco J. Aragón Artacho·Jonathan M. Borwein

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Abstract

We establish a region of convergence for the proto-typical non-convex Douglas-Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration [2] was only able to establish local convergence, and was ineffective in that no explicit region of convergence could be given.

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Francisco J. Aragón Artacho, Jonathan M. Borwein. 2014-11-27. Global convergence of a non-convex Douglas-Rachford iteration. https://doi.org/10.1007/s10898-012-9958-4

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