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math.OC2015
Forward-Backward Splitting with Bregman Distances
Quang Van Nguyen
We propose a forward-backward splitting algorithm based on Bregman distances for composite minimization problems in general reflexive Banach spaces. The convergence is established…
math.OC2015
Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker Set
Patrick L. Combettes, Quang Van Nguyen
We introduce the first operator splitting method for composite monotone inclusions outside of Hilbert spaces. The proposed primal-dual method constructs iteratively the best Bregma…