两种求解非线性方程组的5阶迭代方法  

Two Variants of Iterative Methods for Solving Systems of Nonlinear Equations with Fifth-order Convergence

作　　者：闫建瑞 马昌凤[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350117

出　　处：《福建师范大学学报（自然科学版）》2014年第6期9-14,共6页Journal of Fujian Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11071041);福建省自然科学基金资助项目(2013J01006)

摘　　要：提出了两种求解非线性方程组的迭代方法,证明了它们具有5阶收敛性,并给出了3个数值实验,与其他几个方法作数值比较,结果表明本方法是有效的.Two variants of iterative methods for solving systems of nonlinear equations with fifth-order convergence is developed. The proposed methods are of the convergence of fifth order. Some numerical comparisons are made with several other existing methods to illustrate the efficiency and the performance of the newly developed method confirms the theoretical results.

关 键 词：非线性方程组 迭代方法 收敛阶 数值比较 

分 类 号：O241.7[理学—计算数学]