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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
作者:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
收藏  |  浏览/下载:77/0  |  提交时间:2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
作者:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
收藏  |  浏览/下载:64/0  |  提交时间:2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
A line search penalty-free SQP method for equality-constrained optimization without Maratos effect 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 卷号: 42, 期号: 4, 页码: 3771-3802
作者:  Chen, Zhongwen;  Dai, Yu-Hong;  Zhang, Tauyou
收藏  |  浏览/下载:59/0  |  提交时间:2023/02/07
The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载:105/0  |  提交时间:2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
Continuation methods with the trusty time-stepping scheme for linearly constrained optimization with noisy data 期刊论文
OPTIMIZATION AND ENGINEERING, 2021, 页码: 32
作者:  Luo, Xin-long;  Lv, Jia-hui;  Sun, Geng
收藏  |  浏览/下载:139/0  |  提交时间:2021/04/26
Continuation method  Trust-region technique  Visual-inertial localization  Unmanned aerial vehicle  Noisy data  Differential-algebraic dynamical system  
EQUIPPING THE BARZILAI-BORWEIN METHOD WITH THE TWO DIMENSIONAL QUADRATIC TERMINATION PROPERTY 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3068-3096
作者:  Ya-Kui Huang;  Yu-Hong Dai;  Xin-Wei Liu
收藏  |  浏览/下载:102/0  |  提交时间:2022/04/02
Barzilai-Borwein method  quadratic termination property  unconstrained opti-mization  extreme eigenvalue problem  box-constrained optimization  singly linearly box-constrained optimization  
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
作者:  Chen, Zhongwen;  Dai, Yu-Hong;  Liu, Jiangyan
收藏  |  浏览/下载:138/0  |  提交时间: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
作者:  Liu, Xin-Wei;  Dai, Yu-Hong
收藏  |  浏览/下载:152/0  |  提交时间:2020/09/23
Nonlinear programming  constrained optimization  interior-point method  logarithmic barrier problem  global convergence  
On the existence of affine invariant descent directions 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 17
作者:  Dai, Yu-Hong;  Jarre, Florian;  Lieder, Felix
收藏  |  浏览/下载:124/0  |  提交时间:2020/05/24
Affine invariance  descent direction  Newton direction  
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
作者:  Dai, Yu-Hong;  Liu, Xin-Wei;  Sun, Jie
收藏  |  浏览/下载:150/0  |  提交时间:2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence