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Original Articles

An inertial proximal alternating direction method of multipliers for nonconvex optimization

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Pages 1199-1217 | Received 09 Apr 2019, Accepted 07 Aug 2020, Published online: 11 Sep 2020

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Xiaoquan Wang, Hu Shao, Pengjie Liu & Wenli Yang. (2023) An inertial proximal splitting method with applications. Optimization 0:0, pages 1-30.
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Articles from other publishers (12)

Kunyu Zhang, Hu Shao, Ting Wu & Xiaoquan Wang. (2024) A class of accelerated GADMM-based method for multi-block nonconvex optimization problems. Numerical Algorithms.
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Weiwei Kong & Renato D. C. Monteiro. (2024) Global Complexity Bound of a Proximal ADMM for Linearly Constrained Nonseparable Nonconvex Composite Programming. SIAM Journal on Optimization 34:1, pages 201-224.
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Yazheng Dang, Liyuan Chen & Yan Gao. (2024) Multi-block relaxed-dual linear inertial ADMM algorithm for nonconvex and nonsmooth problems with nonseparable structures. Numerical Algorithms.
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Miantao Chao, Yueqi Geng & Yongxin Zhao. (2023) A Method of Inertial Regularized ADMM for Separable Nonconvex Optimization Problems. Soft Computing 27:22, pages 16741-16757.
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Hui Zhang, Zhengpeng Yuan & Naihua Xiu. (2023) Recursion Newton-Like Algorithm for l 2,0 -ReLU Deep Neural Networks . IEEE Transactions on Neural Networks and Learning Systems 34:9, pages 5882-5896.
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Fanghui Bi, Xin Luo, Bo Shen, Hongli Dong & Zidong Wang. (2023) Proximal Alternating-Direction-Method-of-Multipliers-Incorporated Nonnegative Latent Factor Analysis. IEEE/CAA Journal of Automatica Sinica 10:6, pages 1388-1406.
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Yang Liu & Yazheng Dang. (2023) Convergence Analysis of Multiblock Inertial ADMM for Nonconvex Consensus Problem. Journal of Mathematics 2023, pages 1-12.
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Xiaoquan Wang, Hu Shao, Pengjie Liu & Ting Wu. (2023) An inertial proximal partially symmetric ADMM-based algorithm for linearly constrained multi-block nonconvex optimization problems with applications. Journal of Computational and Applied Mathematics 420, pages 114821.
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Soheila Ghoroghi Shafiei & Masoud Hajarian. (2022) An iterative method based on ADMM for solving generalized Sylvester matrix equations. Journal of the Franklin Institute 359:15, pages 8155-8170.
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Jiawei Xu & Miantao Chao. (2021) An inertial Bregman generalized alternating direction method of multipliers for nonconvex optimization. Journal of Applied Mathematics and Computing 68:3, pages 1-27.
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Junxiang Wang & Liang Zhao. 2022. Advances in Knowledge Discovery and Data Mining. Advances in Knowledge Discovery and Data Mining 30 43 .
Jinbao Jian, Pengjie Liu, Jianghua Yin, Chen Zhang & Miantao Chao. (2021) A QCQP-based splitting SQP algorithm for two-block nonconvex constrained optimization problems with application. Journal of Computational and Applied Mathematics 390, pages 113368.
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