The Douglas-Rachford Algorithm Converges Only Weakly.

SIAM journal on control and optimization（2020）

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摘要

We show that the weak convergence of the Douglas-Rachford algorithm for finding a zero of the sum of two maximally monotone operators cannot be improved to strong convergence. Likewise, we show that strong convergence can fail for the method of partial inverses.

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关键词

Douglas-Rachford algorithm,method of partial inverses,monotone operator,operator splitting,strong convergence

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