The Douglas--Rachford Algorithm Converges Only Weakly
Not on the map. Why?
Abstract (arXiv)
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.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). First posted on arXiv 19 Dec 2019.
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2 papers.