摘要
基于Halley方法及经典的牛顿法,通过引入适当参数和线搜索技术,该文提出了求解非线性方程组的一类新的牛顿型算法,并给出两种具体修正迭代格式.在适当假设下,证明了新算法的全局收敛性.数值实验结果表明该方法是可行有效的.
In this paper,based on the Halley method and the classical Newton method,a class of new modified Halley-Newton method is presented for solving the systems of nonlinear equations with two concrete modified iteration schemes.The convergence performances of the two new variants of Newton iteration method are analyzed in details under appropriate assumptions.Some numerical experiments are given to illustrate the efficiency of the proposed methods.
作者
谢亚君
Xie Yajun(School of Technology,Fuzhou University of International Studies and Trade&Engineering Research Center of Universities of Fujian Province,Fuzhou 350202)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2021年第4期1066-1078,共13页
Acta Mathematica Scientia
基金
福建省自然科学基金(2019J01879)
国科大重点实验室研发项目H2020003(20A01246ZY)
福建省重大教改项目(FBJG20200310)
福州外语外贸学院高层次人才项目(FWKQJ2020002)。
关键词
非线性方程组
Halley法
NEWTON法
收敛性
数值实验
Systems of nonlinear equations
Halley method
Newton iteration method
Convergence analysis
Numerical tests
