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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: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  
SNIG PROPERTY OF MATRIX LOW-RANK FACTORIZATION MODEL 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 374-390
作者:  Wang, Hong;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-xiang
收藏  |  浏览/下载:142/0  |  提交时间:2019/03/05
Low rank factorization  Nonconvex optimization  Second-order optimality condition  Global minimizer  
snigpropertyofmatrixlowrankfactorizationmodel 期刊论文
journalofcomputationalmathematics, 2018, 卷号: 36, 期号: 3, 页码: 374
作者:  Wang Hong;  Liu Xin;  Chen Xiaojun;  Yuan Yaxiang
收藏  |  浏览/下载:152/0  |  提交时间:2020/01/10
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:135/0  |  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  
Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:  Zhou, Zhaojie;  Gong, Wei
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization  
PDE-CONSTRAINED OPTIMAL CONTROL APPROACH FOR THE APPROXIMATION OF AN INVERSE CAUCHY PROBLEM 期刊论文
INVERSE PROBLEMS AND IMAGING, 2015, 卷号: 9, 期号: 3, 页码: 791-814
作者:  Chang, Lili;  Gong, Wei;  Sun, Guiquan;  Yan, Ningning
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
Elliptic equation  Cauchy problem  Tikhonov regularization  PDE-constrained optimal control  finite element method  
anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem 期刊论文
journalofcomputationalmathematics, 2009, 卷号: 27, 期号: 1, 页码: 97
作者:  Wenbin Liu;  Wei Gong;  Ningning Yan
收藏  |  浏览/下载:114/0  |  提交时间:2020/01/10
A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 97-114
作者:  Liu, Wenbin;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Optimal control problem  State-constraints  Fourth order variational inequalities  Nonconforming finite element method