The Douglas--Rachford Algorithm Converges Only Weakly

Published 19 Dec 2019 in math.OC | (1912.09564v1)

Abstract: 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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