Forward-Backward Splitting with Bregman Distances

被引：39
|
作者：
Van Nguyen Q. [1 ,2 ]
机构：
[1] Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay dist, Hanoi
[2] Laboratory for Information Theory and Inference Systems (LIONS), École Polytechnique Fédérale de Lausanne, Lausanne
来源：
Vietnam Journal of Mathematics | 2017年 / 45卷 / 3期
关键词：
Banach space; Bregman distance; Forward-backward algorithm; Legendre function; Multivariate minimization; Variable quasi-Bregman monotonicity;
D O I：
10.1007/s10013-016-0238-3
中图分类号：
学科分类号：
摘要：
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. © 2017, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.
引用
收藏
页码：519 / 539
页数：20
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