A parallel inertial proximal optimization method (Q2888008)

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scientific article; zbMATH DE number 6039397
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A parallel inertial proximal optimization method
scientific article; zbMATH DE number 6039397

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    30 May 2012
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    monotone operators
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    convex optimization
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    proximal algorithms
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    parallel algorithms
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    A parallel inertial proximal optimization method (English)
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    The authors study an extension of the Douglas-Rachford algorithm including inertia parameters. They develop parallel versions to analyze the case of a sum of an arbitrary number of maximal operators. The results are proved in a step by step manner. Furthermore, an application is given to convex optimization as well as connections with some other parallel splitting optimization algorithms are provided. The paper concludes with some numerical experiments relative to an image restoration problem with main goal to evaluate the performance of the algorithm studied in the paper.
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