一类求解非线性方程最优的8阶收敛迭代法  

A Family of Optimal Eighth-Order Iterative Methods for Solving Nonlinear Equations

作　　者：王晓锋[1,2] 张铁[1] 

机构地区：[1]东北大学理学院,沈阳110819 [2]渤海大学数理学院,辽宁锦州121013

出　　处：《吉林大学学报（理学版）》2013年第4期568-572,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11071033)

摘　　要：利用权函数方法得到一类求非线性方程单根的最优8阶收敛迭代法.该方法每步迭代需要计算3个函数值和1个一阶导数值,效率指数为1.682.数值试验结果表明,该方法具有较高的收敛阶数和计算精度.In this paper,we present a new family of optimal eighth-order iterative methods for solving nonlinear equations by using weight function approach.Per iteration the new methods need to compute three functional evaluations and one evaluation of first-order derivative,which implies that the efficiency index of the new method is 1.682.Numerical results shown that,comparing with the other iterative methods,our iterative methods have higher convergence order and calculation precision.

关 键 词：非线性方程 最优阶 8阶收敛 迭代法 求根 

分 类 号：O241.7[理学—计算数学]