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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:79/0  |  提交时间:2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
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:107/0  |  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:172/0  |  提交时间:2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
作者:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
收藏  |  浏览/下载:106/0  |  提交时间:2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
Convex Euclidean distance embedding for collaborative position localization with NLOS mitigation 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2017, 卷号: 66, 期号: 1, 页码: 187-218
作者:  Ding, Chao;  Qi, Hou-Duo
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
Euclidean distance matrix  Collaborative localization  Non-line of sight (NLOS)  Augmented Lagrangian  Alternating direction method of multipliers (ADMM)  
A SEQUENTIAL UPDATING SCHEME OF THE LAGRANGE MULTIPLIER FOR SEPARABLE CONVEX PROGRAMMING 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 303, 页码: 315-343
作者:  Dai, Yu-Hong;  Han, Deren;  Yuan, Xiaoming;  Zhang, Wenxing
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Convex programming  augmented Lagrangian method  splitting method  method of multipliers  image processing  
An augmented Lagrangian trust region method for equality constrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2015, 卷号: 30, 期号: 3, 页码: 559-582
作者:  Wang, Xiao;  Yuan, Yaxiang
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
equality constraints  augmented Lagrangian function  trust region  Lagrange multiplier  penalty parameter  convergence