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An Adaptive Three-Term Conjugate Gradient Method with Sufficient Descent Condition and Conjugacy Condition

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成果类型:
期刊论文
作者:
Xiao-Liang Dong*;Zhi-Feng Dai;Reza Ghanbari;Xiang-Li Li
通讯作者:
Xiao-Liang Dong
作者机构:
School of Mathematics and Information, North Minzu University, Yinchuan, China
School of Mathematics Science, Nanjing Normal University, Nanjing, China
College of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, China
[Ghanbari R.] Department of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
通讯机构:
[Xiao-Liang Dong] S
School of Mathematics and Information, North Minzu University, Yinchuan, China<&wdkj&>School of Mathematics Science, Nanjing Normal University, Nanjing, China
语种:
英文
关键词:
Numerical methods;Conjugacy conditions;Descent directions;Global conver-gence;Numerical experimentations;Sufficient descent conditions;Test problem;Three-term;Unconstrained problems;Conjugate gradient method
期刊:
中国运筹学学会学报(英文)
ISSN:
2194-668X
年:
2021
卷:
9
期:
2
页码:
411-425
基金类别:
supported by First-Class Disciplines Foundation of Ningxia Hui Autonomous Region ; 国家自然科学基金 ; the Key Project of North Minzu University ; Natural Science Foundation of Ningxia Hui Autonomous Region ; Natural Science Foundation of Guangxi Zhuang Autonomous Region ; Guangxi Key Laboratory of Cryptography and Information Security
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
In this paper, an adaptive three-term conjugate gradient method is proposed for solving unconstrained problems, which generates sufficient descent directions at each iteration. Different from the existent methods, a dynamical adjustment between Hestenes–Stiefel and Dai–Liao conjugacy conditions in our proposed method is developed. Under mild condition, we show that the proposed method converges globally. Numerical experimentation with the new method indicates that it efficiently solves the test problems and therefore is promising. © 2019, Op...

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