239 research outputs found

    Lecture Notes on Nonexpansive and Monotone Mappings in Banach Spaces

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    Nonexpansive and monotone mappings in Banach space

    Global convergence of a non-convex Douglas-Rachford iteration

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    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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