arXiv:1505.05198 Abstract | arXiv Analytics

arXiv:1505.05198 [math.OC]Abstract References Reviews Resources

Forward-Backward Splitting with Bregman Distances

Published 2015-05-19Version 1

We propose a forward-backward splitting algorithm based on Bregman distances for composite minimization problems in general reflexive Banach spaces. The convergence is established using the notion of variable quasi-Bregman monotone sequences. Various examples are discussed, including some in Euclidean spaces, where new algorithms are obtained.

Categories: math.OC

Subjects: 90C25

Keywords: bregman distances, forward-backward splitting, composite minimization problems, variable quasi-bregman monotone sequences, general reflexive banach spaces

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