Journal of the Operations Research Society of China ›› 2022, Vol. 10 ›› Issue (1): 1-52.doi: 10.1007/s40305-021-00368-3

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  • 收稿日期:2020-02-01 修回日期:2021-09-08 出版日期:2022-03-30 发布日期:2022-03-23
  • 基金资助:
    This work is supported by the National Natural Science Foundation of China (Nos. 11625105 and 12131004).

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

De-Ren Han   

  1. LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing 100191, China
  • Received:2020-02-01 Revised:2021-09-08 Online:2022-03-30 Published:2022-03-23
  • Contact: De-Ren Han E-mail:handr@buaa.edu.cn

Abstract: 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.

Key words: Alternating direction method of multipliers, Global convergence, Rate of convergence, Nonconvex optimization

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