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Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings 期刊论文
APPLICABLE ANALYSIS, 2022, 卷号: 101, 期号: 1, 页码: 14-34
Authors:  Rashid, M. H.;  Yuan, Ya-xiang
Favorite  |  View/Download:36/0  |  Submit date:2022/04/29
Generalized equation  set-valued mappings  metrically regular mappings  restricted Newton-type method  semi-local convergence  
Positive semidefinite penalty method for quadratically constrained quadratic programming 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 4, 页码: 2488-2515
Authors:  Gu, Ran;  Du, Qiang;  Yuan, Ya-xiang
Favorite  |  View/Download:42/0  |  Submit date:2022/04/02
quadratically constrained quadratic programming  semidefinite programming  semidefinite relaxation  penalty function  
An active set Newton-CG method for l(1) optimization 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 50, 页码: 303-325
Authors:  Cheng, Wanyou;  Dai, Yu-Hong
Favorite  |  View/Download:71/0  |  Submit date:2021/01/14
l(1) optimization  Shrinkage operator  Barzilai-Borwein method  Newton-CG method  
A GLOBALLY CONVERGENT PRIMAL-DUAL INTERIOR-POINT RELAXATION METHOD FOR NONLINEAR PROGRAMS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 323, 页码: 1301-1329
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong
Favorite  |  View/Download:68/0  |  Submit date:2020/09/23
Nonlinear programming  constrained optimization  interior-point method  logarithmic barrier problem  global convergence  
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 563-586
Authors:  Liu, Tianxiang;  Lu, Zhaosong;  Chen, Xiaojun;  Dai, Yu-Hong
Favorite  |  View/Download:57/0  |  Submit date:2020/09/23
rank constrained optimization  non-Lipschitz penalty  nonmonotone proximal gradient  penalty method  
Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 页码: 22
Authors:  Rashid, Mohammed Harunor;  Yuan, Ya-xiang
Favorite  |  View/Download:68/0  |  Submit date:2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation  
Uzawa methods for a class of block three-by-three saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
Authors:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
Favorite  |  View/Download:102/0  |  Submit date:2020/01/10
inexact Uzawa method  saddle-point problem  Uzawa method  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
Authors:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
Favorite  |  View/Download:89/0  |  Submit date:2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 6, 页码: 843-865
Authors:  Wang, Zhouhong;  Dai, Yuhong;  Xu, Fengmin
Favorite  |  View/Download:80/0  |  Submit date:2020/05/24
Analytic center  Ill-conditioning  Unboundedness  Primal-dual interior point algorithm  Convergence  Polynomial complexity  
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
Authors:  Chen, Liang;  Dai, Yu-Hong;  Wei, Zhou
Favorite  |  View/Download:79/0  |  Submit date:2020/01/10
Minimax convex problem  MINLP  outer approximation  subgradient  master program