4.6 Article

THE DOUGLAS-RACHFORD ALGORITHM CONVERGES ONLY WEAKLY

期刊

SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 58, 期 2, 页码 1118-1120

出版社

SIAM PUBLICATIONS
DOI: 10.1137/19M1308451

关键词

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

资金

  1. National Science Foundation [CCF-1715671]

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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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