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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 CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B816-B842
作者:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
收藏  |  浏览/下载:121/0  |  提交时间:2019/10/28
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B796-B815
作者:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
收藏  |  浏览/下载:219/0  |  提交时间:2020/01/10
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
AN AUGMENTED LAGRANGIAN TRUST REGION METHOD WITH A BI-OBJECT STRATEGY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 331-350
作者:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
收藏  |  浏览/下载:142/0  |  提交时间:2019/03/05
Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
anaugmentedlagrangiantrustregionmethodwithabiobjectstrategy 期刊论文
journalofcomputationalmathematics, 2018, 卷号: 36, 期号: 3, 页码: 331
作者:  Kou Caixia;  Chen Zhongwen;  Dai Yuhong;  Han Haifei
收藏  |  浏览/下载:138/0  |  提交时间:2020/01/10
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:111/0  |  提交时间:2018/07/30
Convex programming  augmented Lagrangian method  splitting method  method of multipliers  image processing  
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 2, 页码: 399-422
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Equality-constraint quadratic programming problem  Solvability  Iteration method  Preconditioning  Asymptotic convergence  
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:108/0  |  提交时间:2018/07/30
equality constraints  augmented Lagrangian function  trust region  Lagrange multiplier  penalty parameter  convergence