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

De Ren Han

doi:10.1007/s40305-021-00368-3

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

De Ren Han^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文献综述 › 同行评审

138 引用（Scopus）

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.

源语言	英语
期刊	Journal of the Operations Research Society of China
卷	10
期	1
DOI	https://doi.org/10.1007/s40305-021-00368-3
出版状态	已出版 - 3月 2022

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title = "A Survey on Some Recent Developments of Alternating Direction Method of Multipliers",

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.",

keywords = "Alternating direction method of multipliers, Global convergence, Nonconvex optimization, Rate of convergence",

author = "Han, \{De Ren\}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2022",

month = mar,

doi = "10.1007/s40305-021-00368-3",

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T1 - A Survey on Some Recent Developments of Alternating Direction Method of Multipliers

AU - Han, De Ren

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AB - 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.

KW - Alternating direction method of multipliers

KW - Global convergence

KW - Nonconvex optimization

KW - Rate of convergence

UR - https://www.scopus.com/pages/publications/85122043179

U2 - 10.1007/s40305-021-00368-3

DO - 10.1007/s40305-021-00368-3

M3 - 文献综述

AN - SCOPUS:85122043179

SN - 2194-668X

VL - 10

JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

IS - 1

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

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