A splitting algorithm for dual monotone inclusions involving cocoercive operators

被引：394

作者：

Bang Cong Vu ^{[1
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, CNRS, F-75005 Paris, France

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2013年 / 38卷 / 03期

关键词：

Cocoercivity; Forward-backward algorithm; Composite operator; Duality; Monotone inclusion; Monotone operator; Operator splitting; Primal-dual algorithm; CONVEX MINIMIZATION PROBLEMS; VARIATIONAL-INEQUALITIES; DECOMPOSITION; CONVERGENCE;

D O I：

10.1007/s10444-011-9254-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit explicitly the properties of the cocoercive operators appearing in the model. Several splitting algorithms recently proposed in the literature are recovered as special cases.

引用

页码：667 / 681

页数：15

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