解非线性方程的一类多参数迭代格式  

A family of multi-point iterative methods for solving nonlinear equation

作　　者：陈小惠[1] 唐烁[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2011年第2期309-312,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60473114);安徽省教育厅重点科研资助项目(KJ2008A207)

摘　　要：基于Chebyshev-Halley迭代公式,文章引入一个参数,给出了一类求解非线性方程的多参数迭代方法,该方法至少3阶收敛且在一定条件下4阶收敛,并且只需计算1阶导数,具有收敛速度快、计算效率高的特点,同时数值例子也证明了该迭代方法的优越性。Based on the Chebyshev-Halley iterative formula,a family of multi-point iterative methods for solving nonlinear equation is obtained by introducing a parameter.Its convergent order is found to be at least three and can reach four under some conditions,and it only requires the evaluation of one order derivative and has high convergence rate and computational efficiency.Numerical examples are given to illustrate its advantages.

关 键 词：非线性方程 迭代格式 多参数迭代方法 收敛性 

分 类 号：O241.7[理学—计算数学]