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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:108/0  |  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  
Study on convex optimization with least constraint violation under a general measure 期刊论文
OPTIMIZATION, 2022, 页码: 32
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载:182/0  |  提交时间:2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
作者:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
收藏  |  浏览/下载:170/0  |  提交时间:2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
AN OUTER APPROXIMATION METHOD FOR A CLASS OF MINIMAX CONVEX MINLP PROBLEMS 期刊论文
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 卷号: 20, 期号: 3, 页码: 379-393
作者:  Chen, Liang;  Dai, Yu-Hong;  Wei, Zhou
收藏  |  浏览/下载:202/0  |  提交时间:2020/01/10
Minimax convex problem  MINLP  outer approximation  subgradient  master program  
A Barzilai-Borwein conjugate gradient method 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1511-1524
作者:  Dai YuHong;  Kou CaiXia
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
conjugate gradient method  subspace minimization  Barzilai-Bowein gradient method  line search  descent property  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
作者:  Liu, Ya-Feng;  Ma, Shiqian;  Dai, Yu-Hong;  Zhang, Shuzhong
收藏  |  浏览/下载:145/0  |  提交时间:2018/07/30
Composite L-q minimization  epsilon-KKT point  Nonsmooth nonconvex non-Lipschitzian optimization  Optimality condition  Smoothing approximation  Worst-case iteration complexity  
Joint Power and Admission Control: Non-Convex L-q Approximation and An Effective Polynomial Time Deflation Approach 期刊论文
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2015, 卷号: 63, 期号: 14, 页码: 3641-3656
作者:  Liu, Ya-Feng;  Dai, Yu-Hong;  Ma, Shiqian
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Admission control  complexity  non-convex approximation  potential reduction algorithm  power control  sparse optimization  
The cyclic Barzilai-Borwein method for unconstrained optimization 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2006, 卷号: 26, 期号: 3, 页码: 604-627
作者:  Dai, Yu-Hong;  Hager, William W.;  Schittkowski, Klaus;  Zhang, Hongchao
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
unconstrained optimization  gradient method  convex quadratic programming  non-monotone line search  
Analysis of monotone gradient methods 期刊论文
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2005, 卷号: 1, 期号: 2, 页码: 181-192
作者:  Dai, Yu-Hong;  Yuan, Ya-xiang
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
gradient method  monotone  nonmonotone  strictly convex quadratics  cycle  
Alternate minimization gradient method 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2003, 卷号: 23, 期号: 3, 页码: 377-393
作者:  Dai, YH;  Yuan, YX
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
linear system  unconstrained optimization  gradient method  monotonic and nonmonotonic  convergence rate  line search