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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  
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:147/0  |  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  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
作者:  Jiang, Bo;  Dai, Yu-Hong
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions  
A FEASIBLE TRUST-REGION METHOD FOR CALCULATING EXTREME Z-EIGENVALUES OF SYMMETRIC TENSORS 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2015, 卷号: 11, 期号: 2, 页码: 291-307
作者:  Hao, Chun-Lin;  Cui, Chun-Feng;  Dai, Yu-Hong
收藏  |  浏览/下载:248/0  |  提交时间:2018/07/30
symmetric tensor  extreme Z-eigenvalue  feasible trust-region  global convergence  local quadratic convergence  
A Stochastic Approximation Frame Algorithm with Adaptive Directions 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 卷号: 1, 期号: 4, 页码: 460-474
作者:  Xu, Zi;  Dai, Yu-Hong
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
Stochastic approximation  conjugate gradient  adaptive directions