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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
作者:  Rashid, M. H.;  Yuan, Ya-xiang
收藏  |  浏览/下载：96/0  |  提交时间：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
作者:  Gu, Ran;  Du, Qiang;  Yuan, Ya-xiang
收藏  |  浏览/下载：108/0  |  提交时间：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
作者:  Cheng, Wanyou;  Dai, Yu-Hong
收藏  |  浏览/下载：153/0  |  提交时间：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
作者:  Liu, Xin-Wei;  Dai, Yu-Hong
收藏  |  浏览/下载：152/0  |  提交时间：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
作者:  Liu, Tianxiang;  Lu, Zhaosong;  Chen, Xiaojun;  Dai, Yu-Hong
收藏  |  浏览/下载：122/0  |  提交时间：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
作者:  Rashid, Mohammed Harunor;  Yuan, Ya-xiang
收藏  |  浏览/下载：126/0  |  提交时间：2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation  
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
作者:  Wang, Zhouhong;  Dai, Yuhong;  Xu, Fengmin
收藏  |  浏览/下载：148/0  |  提交时间：2020/05/24
Analytic center  Ill-conditioning  Unboundedness  Primal-dual interior point algorithm  Convergence  Polynomial complexity