A Generalized Forward-Backward Splitting

This paper introduces a generalized forward-backward splitting algorithm for finding a zero of a sum of maximal monotone operators $B + \sum_{i=1}^n A_i$, where $B$ is cocoercive. It involves the computation of $B$ in an explicit (forward) step and the parallel computation of the resolvents of the $...

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Bibliographic Details
Published in:	SIAM journal on imaging sciences Vol. 6; no. 3; pp. 1199 - 1226
Main Authors:	Raguet, Hugo, Fadili, Jalal, Peyré, Gabriel
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
Subjects:	Algorithms Computation Computer Science Engineering Sciences Imaging Mathematical analysis Mathematical models Mathematics Operators Optimization and Control Proximity Signal and Image processing Splitting splitting image processing wavelets convex optimization proximal total variation Forward-backward algorithm
ISSN:	1936-4954, 1936-4954
Online Access:	Get full text
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