摘要
求解非线性方程是数值分析中一个非常重要的问题.提出了一类收敛阶为7的改进Ostrowski方法.新方法的每一步迭代需要3个函数值和1个一阶导数值,因而这类方法的效率指数为1.627.数值实例表明此方法是有效的.
Solving non - linear equation is one of the most important problems in numerical analysis. In this paper, we present a class of new variants of Ostrowski＇s method with order of convergence seven. Each iteration of the new methods requires three evaluations of the function and one evaluation of its first derivative and therefore this class of methods has the efficiency index equal to 1. 627. Numerical tests show that these methods are efficient.
出处
《湖北民族学院学报（自然科学版）》
CAS
2008年第3期326-328,共3页
Journal of Hubei Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(40474003)
国家863计划项目(2001AA135081)
省校合作项目(2006DZ36)
孝感学院科研项目
