Convergence analysis of an improved Bregman-type Peaceman-Rachford splitting algorithm for nonconvex nonseparable linearly constrained optimization problems
暂无分享,去创建一个
J. Jian | G. Ma | Pengjie Liu | Jiawei Xu
[1] Fenghui Wang,et al. Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems , 2022, Journal of Global Optimization.
[2] J. Jian,et al. Convergence of Bregman Peaceman–Rachford Splitting Method for Nonconvex Nonseparable Optimization , 2022, Journal of the Operations Research Society of China.
[3] Sanyang Liu,et al. Inertial generalized proximal Peaceman–Rachford splitting method for separable convex programming , 2021 .
[4] Peixuan Li,et al. Convergence study on strictly contractive Peaceman–Rachford splitting method for nonseparable convex minimization models with quadratic coupling terms , 2020, Comput. Optim. Appl..
[5] Chen Zhang,et al. Monotone Splitting Sequential Quadratic Optimization Algorithm with Applications in Electric Power Systems , 2020, J. Optim. Theory Appl..
[6] Jin-Bao Jian,et al. Convergence of Linear Bregman ADMM for Nonconvex and Nonsmooth Problems with Nonseparable Structure , 2020, Complex..
[7] Zhao Deng,et al. Generalized Peaceman–Rachford splitting method with substitution for convex programming , 2019, Optimization Letters.
[8] Shuzhong Zhang,et al. First-Order Algorithms for Convex Optimization with Nonseparable Objective and Coupled Constraints , 2016, Journal of the Operations Research Society of China.
[9] Yuantao Gu,et al. Linearized ADMM for Nonconvex Nonsmooth Optimization With Convergence Analysis , 2017, IEEE Access.
[10] Ying Cui,et al. On the Convergence Properties of a Majorized Alternating Direction Method of Multipliers for Linearly Constrained Convex Optimization Problems with Coupled Objective Functions , 2016, J. Optim. Theory Appl..
[11] Shiqian Ma,et al. Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis , 2016, Computational Optimization and Applications.
[12] M. T. Chao,et al. A proximal block minimization method of multipliers with a substitution procedure , 2015, Optim. Methods Softw..
[13] Zongben Xu,et al. Convergence of multi-block Bregman ADMM for nonconvex composite problems , 2015, Science China Information Sciences.
[14] Zhi-Quan Luo,et al. Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems , 2014, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[15] Guoyin Li,et al. Douglas–Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems , 2014, Math. Program..
[16] Carlo Fischione,et al. On the Convergence of Alternating Direction Lagrangian Methods for Nonconvex Structured Optimization Problems , 2014, IEEE Transactions on Control of Network Systems.
[17] Marc Teboulle,et al. Proximal alternating linearized minimization for nonconvex and nonsmooth problems , 2013, Mathematical Programming.
[18] Guoyin Li,et al. Global Convergence of Splitting Methods for Nonconvex Composite Optimization , 2014, SIAM J. Optim..
[19] Zhixun Su,et al. Linearized alternating direction method with parallel splitting and adaptive penalty for separable convex programs in machine learning , 2013, Machine Learning.
[20] Hédy Attouch,et al. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality , 2008, Math. Oper. Res..
[21] Dimitri P. Bertsekas,et al. On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators , 1992, Math. Program..
[22] H. H. Rachford,et al. The Numerical Solution of Parabolic and Elliptic Differential Equations , 1955 .
[23] M. Rassias. A Bregman proximal Peaceman-Rachford splitting method for convex programming , 2022, Applied Set-Valued Analysis and Optimization.
[24] Miantao Chao,et al. A QCQP-based splitting SQP algorithm for two-block nonconvex constrained optimization problems with application , 2021, J. Comput. Appl. Math..
[25] Deren Han,et al. A proximal alternating direction method for multi-block coupled convex optimization , 2019, Journal of Industrial & Management Optimization.
[26] B. Mercier,et al. A dual algorithm for the solution of nonlinear variational problems via finite element approximation , 1976 .