A Survey on Some Recent Developments of Alternating Direction Method of Multipliers

被引:0
|
作者
De-Ren Han
机构
[1] Beihang University,LMIB of the Ministry of Education, School of Mathematical Sciences
来源
Journal of the Operations Research Society of China | 2022年 / 10卷
关键词
Alternating direction method of multipliers; Global convergence; Rate of convergence; Nonconvex optimization; 90C30; 90C33; 65K05;
D O I
暂无
中图分类号
学科分类号
摘要
Recently, alternating direction method of multipliers (ADMM) attracts much attentions from various fields and there are many variant versions tailored for different models. Moreover, its theoretical studies such as rate of convergence and extensions to nonconvex problems also achieve much progress. In this paper, we give a survey on some recent developments of ADMM and its variants.
引用
收藏
页码:1 / 52
页数:51
相关论文
共 50 条
  • [21] Decentralized Quadratically Approximated Alternating Direction Method of Multipliers
    Mokhtari, Aryan
    Shi, Wei
    Ling, Qing
    Ribeiro, Alejandro
    2015 IEEE GLOBAL CONFERENCE ON SIGNAL AND INFORMATION PROCESSING (GLOBALSIP), 2015, : 795 - 799
  • [22] Alternating direction method of multipliers with difference of convex functions
    Tao Sun
    Penghang Yin
    Lizhi Cheng
    Hao Jiang
    Advances in Computational Mathematics, 2018, 44 : 723 - 744
  • [23] THE LINEARIZED ALTERNATING DIRECTION METHOD OF MULTIPLIERS FOR DANTZIG SELECTOR
    Wang, Xiangfeng
    Yuan, Xiaoming
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (05) : A2792 - A2811
  • [24] An Improvement of the Alternating Direction Method of Multipliers to Solve the Convex Optimization Problem
    Peng, Jingjing
    Wang, Zhijie
    Yu, Siting
    Tang, Zengao
    MATHEMATICS, 2025, 13 (05)
  • [25] A Proximal Alternating Direction Method of Multipliers for DC Programming with Structured Constraints
    Zhou, Yingxin
    He, Hongjin
    Zhang, Linan
    JOURNAL OF SCIENTIFIC COMPUTING, 2024, 99 (03)
  • [26] A proximal alternating direction method of multipliers for a minimization problem with nonconvex constraints
    Zheng Peng
    Jianli Chen
    Wenxing Zhu
    Journal of Global Optimization, 2015, 62 : 711 - 728
  • [27] An inertial Bregman generalized alternating direction method of multipliers for nonconvex optimization
    Xu, Jiawei
    Chao, Miantao
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (03) : 1757 - 1783
  • [28] An inertial Bregman generalized alternating direction method of multipliers for nonconvex optimization
    Jiawei Xu
    Miantao Chao
    Journal of Applied Mathematics and Computing, 2022, 68 : 1 - 27
  • [29] Alternating direction method of multipliers for linear hyperspectral unmixing
    Yu-Hong Dai
    Fangfang Xu
    Liwei Zhang
    Mathematical Methods of Operations Research, 2023, 97 : 289 - 310
  • [30] ALTERNATING DIRECTION METHOD OF MULTIPLIERS FOR LINEAR INVERSE PROBLEMS
    Jiao, Yuling
    Jin, Qinian
    Lu, Xiliang
    Wang, Weijie
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 54 (04) : 2114 - 2137