应用数学2023,Vol.36Issue(3):729-738,10.
一种新的自适应非单调牛顿算法
A New Adaptive Nonmonotone Newton Algorithm
摘要
Abstract
In this paper,a new adaptive nonmonotone line search technique is proposed for unconstrained optimization.Based on the new nonmonotone line search technology,an adaptive nonmonotone Newton algorithm is developed.Under suitable assumptions,the global convergence of the new algorithm is proved.The Numerical results show the feasibility and efficiency of the proposed algorithm.关键词
非单调线搜索/自适应/全局收敛Key words
Nonmonotone line search/Adaptive/Global convergence分类
数理科学引用本文复制引用
袁柳洋,晋慧慧,万仲平..一种新的自适应非单调牛顿算法[J].应用数学,2023,36(3):729-738,10.基金项目
Supported by the Open Fund Project of Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Y201905),the Youth Project of Scientific Research Project of Hubei Provincial Department of Education(Q20211111),and the Natioanal Natural Science Foundation of China(11871383) (Y201905)