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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Review article › peer-review

119 Scopus citations

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.

Original language	English
Journal	Journal of the Operations Research Society of China
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s40305-021-00368-3
State	Published - Mar 2022

Keywords

Alternating direction method of multipliers
Global convergence
Nonconvex optimization
Rate of convergence

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10.1007/s40305-021-00368-3

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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.",

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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

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DO - 10.1007/s40305-021-00368-3

M3 - 文献综述

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JO - Journal of the Operations Research Society of China

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ER -

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

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Keywords

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