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- W4382937811 abstract "We introduce a generalized proximal point algorithm, and perform a detailed convergence analysis with the focus on the case of degenerate metric. The degeneracy leads to a well-defined resolvent form restricted to a reduced dimensional space. This approach unifies the algorithmic structures of Douglas-Rachford splitting and other related operator splitting schemes. Various aspects of these algorithms, in particular, the convergence of Douglas-Rachford splitting in terms of the solution itself and Chambolle-Pock algorithm under the limit setting, are investigated or revisited by the unified degenerate proximal point analysis." @default.
- W4382937811 created "2023-07-04" @default.
- W4382937811 creator A5021923147 @default.
- W4382937811 date "2023-07-03" @default.
- W4382937811 modified "2023-10-14" @default.
- W4382937811 title "Equivalent resolvents of Douglas-Rachford splitting and other operator splitting algorithms: a unified degenerate proximal point analysis" @default.
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- W4382937811 doi "https://doi.org/10.1080/02331934.2023.2231005" @default.
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