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• W2890945080 endingPage "2724" @default.
• W2890945080 startingPage "2697" @default.
• W2890945080 abstract "The Douglas-Rachford algorithm is a classical and powerful splitting method for minimizing the sum of two convex functions and, more generally, finding a zero of the sum of two maximally monotone operators. Although this algorithm is well understood when the involved operators are monotone or strongly monotone, the convergence theory for weakly monotone settings is far from being complete. In this paper, we propose an adaptive Douglas-Rachford splitting algorithm for the sum of two operators, one of which is strongly monotone while the other one is weakly monotone. With appropriately chosen parameters, the algorithm converges globally to a fixed point from which we derive a solution of the problem. When one operator is Lipschitz continuous, we prove global linear convergence, which sharpens recent known results." @default.
• W2890945080 created "2018-09-27" @default.
• W2890945080 creator A5080867745 @default.
• W2890945080 creator A5087304949 @default.
• W2890945080 date "2019-01-01" @default.
• W2890945080 modified "2023-10-02" @default.
• W2890945080 title "Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators" @default.
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• W2890945080 doi "https://doi.org/10.1137/18m121160x" @default.
• W2890945080 hasPublicationYear "2019" @default.
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