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A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
Favorite  |  View/Download:34/0  |  Submit date:2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 60
Authors:  Hu, Shenglong;  Ye, Ke
Favorite  |  View/Download:19/0  |  Submit date:2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
STOCHASTIC TRUST-REGION METHODS WITH TRUST-REGION RADIUS DEPENDING ON PROBABILISTIC MODELS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 41
Authors:  Wang, Xiaoyu;  Yuan, Ya-xiang
Favorite  |  View/Download:73/0  |  Submit date:2022/04/02
Trust-region methods  Stochastic optimization  Probabilistic models  Trust region radius  Global convergence  
A NEW ADAPTIVE SUBSPACE MINIMIZATION THREE-TERM CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 2, 页码: 159-177
Authors:  Zhang, Keke;  Liu, Hongwei;  Liu, Zexian
Favorite  |  View/Download:105/0  |  Submit date:2021/01/14
Conjugate gradient method  Nonmonotone line search  Subspace minimization  Sufficient descent condition  Global convergence  
A penalty-free method with superlinear convergence for equality constrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2020, 卷号: 76, 期号: 3, 页码: 801-833
Authors:  Chen, Zhongwen;  Dai, Yu-Hong;  Liu, Jiangyan
Favorite  |  View/Download:105/0  |  Submit date:2020/09/23
Equality constrained optimization  Trust region method  Penalty-free method  Global convergence  Superlinear convergence  
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:108/0  |  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:116/0  |  Submit date:2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence  
An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 页码: 23
Authors:  Liu, Zexian;  Liu, Hongwei;  Dai, Yu-Hong
Favorite  |  View/Download:109/0  |  Submit date:2020/05/24
Conjugate gradient algorithm  Limited memory  Quasi-Newton method  Preconditioned conjugate gradient algorithm  Global convergence  
Efficient projected gradient methods for cardinality constrained optimization 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 2, 页码: 245-268
Authors:  Xu, Fengmin;  Dai, Yuhong;  Zhao, Zhihu;  Xu, Zongben
Favorite  |  View/Download:132/0  |  Submit date:2019/04/02
sparse approximation  projected gradient method  global convergence  signal recovery  index tracking  
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:111/0  |  Submit date:2019/03/05
Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence