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SOLVING SYSTEMS OF MONOTONE INCLUSIONS VIA PRIMAL-DUAL SPLITTING TECHNIQUES

黑白色调夹杂威盛最初双重分裂的技术解决系统

作     者:Bot, Radu Ioan Csetnek, Ernoe Robert Nagy, Erika 

作者机构:Tech Univ Chemnitz Dept Math D-09107 Chemnitz Germany Univ Babes Bolyai Fac Math & Comp Sci R-3400 Cluj Napoca Romania 

出 版 物:《TAIWANESE JOURNAL OF MATHEMATICS》 (Taiwanese J. Math.)

年 卷 期:2013年第17卷第6期

页      面:1983-2009页

核心收录:

基  金:DFG (German Research Foundation) [BO 2516/4-1] Romanian National Authority for Scientific Research CNCS-UEFISCDI [PN-II-ID-PCE-2011-3-0024] Collegium Talentum, Hungary POSDRU/107/1.5/S/76841 

主  题:Convex minimization Coupled systems Forward-backward-forward algorithm Monotone inclusion Operator splitting 

摘      要:In this paper we propose an algorithm for solving systems of coupled monotone inclusions in Hilbert spaces. The operators arising in each of the inclusions of the system are processed in each iteration separately, namely, the single-valued are evaluated explicitly (forward steps), while the, set-valued ones via their resolvents (backward steps). In addition, most of the steps in the iterative scheme can be executed simultaneously, this making the method applicable to a variety of convex minimization problems. The numerical performances of the proposed splitting algorithm are emphasized through applications in average consensus on colored networks and image classification via support vector machines.

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