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An active set Newton-CG method for l(1) optimization 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 50, 页码: 303-325
Authors:  Cheng, Wanyou;  Dai, Yu-Hong
Favorite  |  View/Download:30/0  |  Submit date:2021/01/14
l(1) optimization  Shrinkage operator  Barzilai-Borwein method  Newton-CG method  
A GLOBALLY CONVERGENT PRIMAL-DUAL INTERIOR-POINT RELAXATION METHOD FOR NONLINEAR PROGRAMS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 323, 页码: 1301-1329
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong
Favorite  |  View/Download:17/0  |  Submit date:2020/09/23
Nonlinear programming  constrained optimization  interior-point method  logarithmic barrier problem  global convergence  
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:22/0  |  Submit date:2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence  
Uzawa methods for a class of block three-by-three saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
Authors:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
Favorite  |  View/Download:31/0  |  Submit date:2020/01/10
inexact Uzawa method  saddle-point problem  Uzawa method  
A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 6, 页码: 843-865
Authors:  Wang, Zhouhong;  Dai, Yuhong;  Xu, Fengmin
Favorite  |  View/Download:20/0  |  Submit date:2020/05/24
Analytic center  Ill-conditioning  Unboundedness  Primal-dual interior point algorithm  Convergence  Polynomial complexity  
GRADIENT-BASED METHOD WITH ACTIVE SET STRATEGY FOR l(1) OPTIMIZATION 期刊论文
MATHEMATICS OF COMPUTATION, 2018, 卷号: 87, 期号: 311, 页码: 1283-1305
Authors:  Cheng, Wanyou;  Dai, Yu-Hong
Favorite  |  View/Download:24/0  |  Submit date:2018/07/30
l(1) minimization  compressive sensing  active set  Barzilai-Borwein method  
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:28/0  |  Submit date:2019/03/05
Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
A smoothing SQP framework for a class of composite minimization over polyhedron 期刊论文
MATHEMATICAL PROGRAMMING, 2016, 卷号: 158, 期号: 1-2, 页码: 467-500
Authors:  Liu, Ya-Feng;  Ma, Shiqian;  Dai, Yu-Hong;  Zhang, Shuzhong
Favorite  |  View/Download:20/0  |  Submit date:2018/07/30
Composite L-q minimization  epsilon-KKT point  Nonsmooth nonconvex non-Lipschitzian optimization  Optimality condition  Smoothing approximation  Worst-case iteration complexity  
A line search exact penalty method with bi-object strategy for nonlinear constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 245-258
Authors:  Chen, Zhongwen;  Dai, Yu-Hong
Favorite  |  View/Download:14/0  |  Submit date:2018/07/30
Nonlinear constrained optimization  Exact penalty methods  Bi-object strategy  Global convergence  
Fiber Orientation Distribution Estimation Using a Peaceman-Rachford Splitting Method 期刊论文
SIAM JOURNAL ON IMAGING SCIENCES, 2016, 卷号: 9, 期号: 2, 页码: 573-604
Authors:  Chen, Yannan;  Dai, Yu-Hong;  Han, Deren
Favorite  |  View/Download:13/0  |  Submit date:2018/07/30
fiber orientation distribution  magnetic resonance imaging  Peaceman-Rachford splitting method  positive semidefinite tensor  semidefinite programming  sum of squares polynomial