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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：107/0  |  提交时间：2022/04/02
quadratically constrained quadratic programming  semidefinite programming  semidefinite relaxation  penalty function  
STOCHASTIC TRUST-REGION METHODS WITH TRUST-REGION RADIUS DEPENDING ON PROBABILISTIC MODELS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 41
作者:  Wang, Xiaoyu;  Yuan, Ya-xiang
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/02
Trust-region methods  Stochastic optimization  Probabilistic models  Trust region radius  Global convergence  
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：125/0  |  提交时间：2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation