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International Journal of Computer Mathematics Volume 96, 2019 - Issue 4: A special collection of papers relating to optimization
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Original Article

A proximal Peaceman–Rachford splitting method for solving the multi-block separable convex minimization problems

Zhongming WuSchool of Economics and Management, Southeast University, Nanjing, ChinaView further author information
,
Foxiang LiuDepartment of Electronic Science, Institute of Electromagnetics and Acoustics, Xiamen University, Xiamen, ChinaView further author information
&
Min LiSchool of Economics and Management, Southeast University, Nanjing, China;School of Management and Engineering, Nanjing University, Nanjing, ChinaCorrespondence[email protected]
View further author information
Pages 708-728 | Received 20 Dec 2016, Accepted 30 Jul 2017, Published online: 16 Feb 2018

Citations (8)

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Max L. N. Gonçalves, Jefferson G. Melo & Renato D. C. Monteiro. (2020) On the iteration-complexity of a non-Euclidean hybrid proximal extragradient framework and of a proximal ADMM. Optimization 69:4, pages 847-873.
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Articles from other publishers (7)

Vando A. Adona & Max L. N. Gonçalves. (2023) An inexact version of the symmetric proximal ADMM for solving separable convex optimization. Numerical Algorithms 94:1, pages 1-28.
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Fan Jiang & Zhongming Wu. (2023) An inexact symmetric ADMM algorithm with indefinite proximal term for sparse signal recovery and image restoration problems. Journal of Computational and Applied Mathematics 417, pages 114628.
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Yaning Jiang, Deren Han & Xingju Cai. (2022) An efficient partial parallel method with scaling step size strategy for three-block convex optimization problems. Mathematical Methods of Operations Research 96:3, pages 383-419.
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Yuan Shen, Yannian Zuo, Liming Sun & Xiayang Zhang. (2021) Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints. Analysis and Applications 20:03, pages 401-428.
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Jianchao Bai, Yuxue Ma, Hao Sun & Miao Zhang. (2021) Iteration complexity analysis of a partial LQP-based alternating direction method of multipliers. Applied Numerical Mathematics 165, pages 500-518.
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Yuan Shen, Yannian Zuo & Aolin Yu. (2021) A partially proximal S-ADMM for separable convex optimization with linear constraints. Applied Numerical Mathematics 160, pages 65-83.
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Min Li & Zhongming Wu. (2019) Convergence Analysis of the Generalized Splitting Methods for a Class of Nonconvex Optimization Problems. Journal of Optimization Theory and Applications 183:2, pages 535-565.
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