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检索条件"主题词=Parallel splitting method"
7 条 记 录,以下是1-10 订阅
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A proximal parallel splitting method for minimizing sum of convex functions with linear constraints
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2014年 256卷 36-51页
作者: Han, Deren He, Hongjin Xu, Lingling Nanjing Normal Univ Sch Math Sci Key Lab NSLSCS Jiangsu Prov Nanjing 210023 Jiangsu Peoples R China Hangzhou Dianzi Univ Sch Sci Hangzhou 310018 Zhejiang Peoples R China
In this paper, we propose a proximal parallel decomposition algorithm for solving the optimization problems where the objective function is the sum of m separable functions (i.e., they have no crossed variables), and ... 详细信息
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On the convergence rate of the augmented Lagrangian-based parallel splitting method
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OPTIMIZATION methodS & SOFTWARE 2019年 第2期34卷 278-304页
作者: Wang, Kai Desai, Jitamitra Nanyang Technol Univ Sch Mech & Aerosp Engn Singapore Singapore
The augmented Lagrangian method (ALM) is a well-regarded algorithm for solving convex optimization problems with linear constraints. Recently, in He et al. [On full Jacobian decomposition of the augmented Lagrangian m... 详细信息
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Global extrapolation with a parallel splitting method
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Numerical Algorithms 1992年 第1期3卷 427-440页
作者: Tai, Xue-Cheng Department of Mathematics University of Jyväskylä Jyväskylä SF-40351 P.O. Box 35 Finland
Extrapolation with a parallel splitting method is discussed. The parallel splitting method reduces a multidimensional problem into independent one-dimensional problems and can improve the convergence order of space va... 详细信息
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A partial parallel splitting augmented Lagrangian method for solving constrained matrix optimization problems
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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2010年 第6期60卷 1515-1524页
作者: Peng, Zheng Wu, Donghua Fuzhou Univ Dept Math Fuzhou 350108 Peoples R China Shanghai Univ Dept Math Shanghai 200444 Peoples R China Nanjing Univ Dept Math Nanjing 210093 Peoples R China
Alternating directions methods (ADMs) are very effective for solving convex optimization problems with separable structure. However, when these methods are applied to solve convex optimization problems with three sepa... 详细信息
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A new parallel splitting augmented Lagrangian-based method for a Stackelberg game
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JOURNAL OF INEQUALITIES AND APPLICATIONS 2016年 第1期2016卷 1页
作者: Yan, Xihong Wen, Ruiping Taiyuan Normal Univ Higher Educ Key Lab Engn & Sci Comp Taiyuan 030012 Shanxi Peoples R China
This paper addresses a novel solution scheme for a special class of variational inequality problems which can be applied to model a Stackelberg game with one leader and three or more followers. In the scheme, the lead... 详细信息
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ON THE BEHAVIOR OF THE DOUGLAS RACHFORD ALGORITHM FOR MINIMIZING A CONVEX FUNCTION SUBJECT TO A LINEAR CONSTRAINT
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SIAM JOURNAL ON OPTIMIZATION 2020年 第3期30卷 2559-2576页
作者: Bauschke, Heinz H. Moursi, Walaa M. Univ British Columbia Math Kelowna BC V1V 1V7 Canada Univ Waterloo Dept Combinator & Optimizat Waterloo ON N2L 3G1 Canada
The Douglas Rachford algorithm (DRA) is a powerful optimization method for minimizing the sum of two convex (not necessarily smooth) functions. The vast majority of previous research dealt with the case when the sum h... 详细信息
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A hybrid splitting method for smoothing Tikhonov regularization problem
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JOURNAL OF INEQUALITIES AND APPLICATIONS 2016年 第1期2016卷 1-13页
作者: Zeng, Yu-Hua Peng, Zheng Yang, Yu-Fei Hunan Univ Coll Math & Econometr Changsha 410082 Hunan Peoples R China Hunan First Normal Univ Coll Math & Computat Sci Changsha 410205 Hunan Peoples R China Fuzhou Univ Coll Math & Comp Sci Fuzhou 350108 Peoples R China
In this paper, a hybrid splitting method is proposed for solving a smoothing Tikhonov regularization problem. At each iteration, the proposed method solves three subproblems. First of all, two subproblems are solved i... 详细信息
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