摘要
结合经典的LM算法及其变形,提出了求解Hankel张量方程的修正自适应LM算法,并证明其全局收敛性和局部二次收敛性.数值实验验证了所提算法的可行性和有效性.
In this paper,combined with classic LM method and its variant,a modified adaptive LM algorithm is proposed for solving Hankel tensor equation.It is proved that this method has global convergent and local quadratic convergence.Numerical experiments show that the method is feasible and effective.
作者
马昌凤
李清雅
MA Chang-feng;LI Qing-ya(School of Big Data&Key Laboratory of Digital Technology and Intelligent Computing,Fuzhou University of International Studies and Trade,Fuzhou 350202,China;School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China)
出处
《高校应用数学学报（A辑）》
北大核心
2024年第1期64-72,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(12371378)
福建省自然科学基金(2023J011127)。
关键词
Hankel张量方程
修正自适应LM算法
收敛性分析
数值实验
Hankel tensor equation
modified adaptive LM algorithm
convergence analysis
numerical experiment MR Subject Classification:65H10
15A69
