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Consider the minimization of a nonconvex differentiable function over a polyhedron.
A posteriori error bounds for the linearly-constrained variational inequality problem
Jong-Shi Pang · 1987
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On the douglas-rachford splitting method and the proximal point algorithm for maximal monotone operators
Jonathan Eckstein and Dimitri P Bertsekas · 1992
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Error bounds and convergence analysis of feasible descent methods: a general approach
Zhi-Quan Luo and Paul Tseng · 1993
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Nonlinear programming
Dimitri P Bertsekas · 1999
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Finite-dimensional variational inequalities and complementarity problems
Francisco Facchinei and Jong-Shi Pang · 2007
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An alternating direction algorithm for nonnegative matrix factorization
Yin Zhang · 2010
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Distributed optimization and statistical learning via the alternating direction method of multipliers
Stephen Boyd, Neal Parikh, Eric Chu, Borja Peleato, Jonathan Eckstein, et al · 2011
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Decentralized low-rank matrix completion
Qing Ling, Yangyang Xu, Wotao Yin, and Zaiwen Wen · 2012
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Alternating direction methods for classical and ptychographic phase retrieval
Zaiwen Wen, Chao Yang, Xin Liu, and Stefano Marchesini · 2012
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Asset allocation under the basel accord risk measures
Zaiwen Wen, Xianhua Peng, Xin Liu, Xiaoling Sun, and Xiaodi Bai · 2013
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Alternating direction method of multipliers for real and complex polynomial optimization models
Bo Jiang, Shiqian Ma, and Shuzhong Zhang · 2014
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Alternating direction method of multipliers for non-negative matrix factorization with the beta-divergence
Dennis L Sun and Cedric Fevotte · 2014
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Global convergence of splitting methods for nonconvex composite optimization
Guoyin Li and Ting Kei Pong · 2015
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Convex analysis
Ralph Tyrell Rockafellar · 2015
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Nonnegative matrix factorization using admm: Algorithm and convergence analysis
Davood Hajinezhad, Tsung-Hui Chang, Xiangfeng Wang, Qingjiang Shi, and Mingyi Hong · 2016
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Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems
Mingyi Hong, Zhi-Quan Luo, and Meisam Razaviyayn · 2016
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Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis
Bo Jiang, Tianyi Lin, Shiqian Ma, and Shuzhong Zhang · 2016
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Prox-pda: The proximal primal-dual algorithm for fast distributed nonconvex optimization and learning over networks
Mingyi Hong, Davood Hajinezhad, and Ming-Min Zhao · 2017
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On the linear convergence of the alternating direction method of multipliers
Mingyi Hong and Zhi-Quan Luo · 2017
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Brendan PW Ames and Mingyi Hong · 2016
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The direct extension of admm for multi-block convex minimization problems is not necessarily convergent
Caihua Chen, Bingsheng He, Yinyu Ye, and Xiaoming Yuan · 2016
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On the global and linear convergence of the generalized alternating direction method of multipliers
Wei Deng and Wotao Yin · 2016
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Radu Ioan Bot and Dang-Khoa Nguyen · 2018
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Admm for multiaffine constrained optimization
Wenbo Gao, Donald Goldfarb, and Frank E Curtis · 2018
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Weiwei Kong, Jefferson G Melo, and Renato DC Monteiro · 2018
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