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EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
Authors:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
Favorite  |  View/Download：19/0  |  Submit date：2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
A class of smooth exact penalty function methods for optimization problems with orthogonality constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 37
Authors:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
Favorite  |  View/Download：45/0  |  Submit date：2021/01/14
Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
A PRIMAL-DUAL INTERIOR-POINT METHOD CAPABLE OF RAPIDLY DETECTING INFEASIBILITY FOR NONLINEAR PROGRAMS 期刊论文
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 卷号: 16, 期号: 2, 页码: 1009-1035
Authors:  Dai, Yu-Hong;  Liu, Xin-Wei;  Sun, Jie
Favorite  |  View/Download：49/0  |  Submit date：2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
Authors:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
Favorite  |  View/Download：61/0  |  Submit date：2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
AN AUGMENTED LAGRANGIAN TRUST REGION METHOD WITH A BI-OBJECT STRATEGY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 331-350
Authors:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
Favorite  |  View/Download：62/0  |  Submit date：2019/03/05
Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
anaugmentedlagrangiantrustregionmethodwithabiobjectstrategy 期刊论文
journalofcomputationalmathematics, 2018, 卷号: 36, 期号: 3, 页码: 331
Authors:  Kou Caixia;  Chen Zhongwen;  Dai Yuhong;  Han Haifei
Favorite  |  View/Download：43/0  |  Submit date：2020/01/10
A SEQUENTIAL UPDATING SCHEME OF THE LAGRANGE MULTIPLIER FOR SEPARABLE CONVEX PROGRAMMING 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 303, 页码: 315-343
Authors:  Dai, Yu-Hong;  Han, Deren;  Yuan, Xiaoming;  Zhang, Wenxing
Favorite  |  View/Download：42/0  |  Submit date：2018/07/30
Convex programming  augmented Lagrangian method  splitting method  method of multipliers  image processing  
QUADRATIC GROWTH CONDITIONS FOR CONVEX MATRIX OPTIMIZATION PROBLEMS ASSOCIATED WITH SPECTRAL FUNCTIONS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2017, 卷号: 27, 期号: 4, 页码: 2332-2355
Authors:  Cui, Ying;  Ding, Chao;  Zhao, Xinyuan
Favorite  |  View/Download：50/0  |  Submit date：2018/07/30
matrix optimization  spectral functions  quadratic growth conditions  metric sub regularity  augmented Lagrangian function  fast convergence rates  
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 2, 页码: 399-422
Authors:  Bai, Zhong-Zhi;  Tao, Min
Favorite  |  View/Download：31/0  |  Submit date：2018/07/30
Equality-constraint quadratic programming problem  Solvability  Iteration method  Preconditioning  Asymptotic convergence  
An augmented Lagrangian trust region method for equality constrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2015, 卷号: 30, 期号: 3, 页码: 559-582
Authors:  Wang, Xiao;  Yuan, Yaxiang
Favorite  |  View/Download：33/0  |  Submit date：2018/07/30
equality constraints  augmented Lagrangian function  trust region  Lagrange multiplier  penalty parameter  convergence