A proximal alternating direction method for multi-block coupled convex optimization

Foxiang Liu;  ; Lingling Xu; Yuehong Sun; Deren Han;

doi:10.3934/jimo.2018067

A proximal alternating direction method for multi-block coupled convex optimization

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2018067 ◽

2019 ◽

Vol 15 (2) ◽

pp. 723-737

Author(s):

Foxiang Liu ◽

◽

Lingling Xu ◽

Yuehong Sun ◽

Deren Han ◽

...

Keyword(s):

Convex Optimization ◽

Alternating Direction Method ◽

Alternating Direction ◽

Proximal Alternating Direction Method

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Solving Separable Convex Optimization Problem Based on Generalized Proximal Alternating Direction Method of Multipliers

Pure Mathematics ◽

10.12677/pm.2021.114062 ◽

2021 ◽

Vol 11 (04) ◽

pp. 485-495

Author(s):

倩雯殷

Keyword(s):

Convex Optimization ◽

Optimization Problem ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Convex Optimization Problem ◽

Alternating Direction ◽

Separable Convex Optimization ◽

Proximal Alternating Direction Method

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A Proximal Alternating Direction Method of Multiplier for Linearly Constrained Nonconvex Minimization

SIAM Journal on Optimization ◽

10.1137/19m1242276 ◽

2020 ◽

Vol 30 (3) ◽

pp. 2272-2302

Author(s):

Jiawei Zhang ◽

Zhi-Quan Luo

Keyword(s):

Alternating Direction Method ◽

Nonconvex Minimization ◽

Alternating Direction ◽

Linearly Constrained ◽

Proximal Alternating Direction Method

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Proximal Alternating Direction Method of Multipliers for distributed optimization on weighted graphs

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7402406 ◽

2015 ◽

Cited By ~ 3

Author(s):

De Meng ◽

Maryam Fazel ◽

Mehran Mesbahi

Keyword(s):

Distributed Optimization ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Weighted Graphs ◽

Alternating Direction ◽

Proximal Alternating Direction Method

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A VLSI global placement solver based on proximal alternating direction method

2015 IEEE 11th International Conference on ASIC (ASICON) ◽

10.1109/asicon.2015.7516960 ◽

2015 ◽

Author(s):

Jianli Chen ◽

Zheng Peng ◽

Wenxing Zhu

Keyword(s):

Alternating Direction Method ◽

Alternating Direction ◽

Global Placement ◽

Proximal Alternating Direction Method

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Infeasibility Detection in the Alternating Direction Method of Multipliers for Convex Optimization

2018 UKACC 12th International Conference on Control (CONTROL) ◽

10.1109/control.2018.8516858 ◽

2018 ◽

Cited By ~ 3

Author(s):

Goran Banjac ◽

Paul Goulart ◽

Bartolomeo Stellato ◽

Stephen Boyd

Keyword(s):

Convex Optimization ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Alternating Direction ◽

Infeasibility Detection

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Using the distributed proximal alternating direction method of multipliers for smart grid monitoring

2017 13th IEEE Conference on Automation Science and Engineering (CASE) ◽

10.1109/coase.2017.8256140 ◽

2017 ◽

Author(s):

Raffaele Carli ◽

Mariagrazia Dotoli

Keyword(s):

Smart Grid ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Alternating Direction ◽

Grid Monitoring ◽

Proximal Alternating Direction Method

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Infeasibility Detection in the Alternating Direction Method of Multipliers for Convex Optimization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01575-y ◽

2019 ◽

Vol 183 (2) ◽

pp. 490-519 ◽

Cited By ~ 10

Author(s):

Goran Banjac ◽

Paul Goulart ◽

Bartolomeo Stellato ◽

Stephen Boyd

Keyword(s):

Convex Optimization ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Alternating Direction ◽

Infeasibility Detection

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A Homotopy Alternating Direction Method of Multipliers for Linearly Constrained Separable Convex Optimization

Journal of the Operations Research Society of China ◽

10.1007/s40305-017-0170-6 ◽

2017 ◽

Vol 5 (2) ◽

pp. 271-290 ◽

Cited By ~ 1

Author(s):

Jiao Yang ◽

Yi-Qing Dai ◽

Zheng Peng ◽

Jie-Peng Zhuang ◽

Wen-Xing Zhu

Keyword(s):

Convex Optimization ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Alternating Direction ◽

Separable Convex Optimization ◽

Linearly Constrained

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Linearized proximal alternating direction method of multipliers for parallel magnetic resonance imaging

IEEE/CAA Journal of Automatica Sinica ◽

10.1109/jas.2016.7510226 ◽

2017 ◽

Vol 4 (4) ◽

pp. 763-769

Author(s):

Benxin Zhang ◽

Zhibin Zhu

Keyword(s):

Magnetic Resonance Imaging ◽

Magnetic Resonance ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Resonance Imaging ◽

Parallel Magnetic Resonance Imaging ◽

Alternating Direction ◽

Proximal Alternating Direction Method

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On the Convergence Properties of a Majorized Alternating Direction Method of Multipliers for Linearly Constrained Convex Optimization Problems with Coupled Objective Functions

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0877-2 ◽

2016 ◽

Vol 169 (3) ◽

pp. 1013-1041 ◽

Cited By ~ 16

Author(s):

Ying Cui ◽

Xudong Li ◽

Defeng Sun ◽

Kim-Chuan Toh

Keyword(s):

Convex Optimization ◽

Optimization Problems ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Objective Functions ◽

Convergence Properties ◽

Convex Optimization Problems ◽

Alternating Direction ◽

Linearly Constrained ◽

Linearly Constrained Convex Optimization

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