一类三阶牛顿变形方法  

A class of third-order convergence variants of Newton's method

作　　者：王霞[1] 田润果[2] 赵玲玲[1] 

机构地区：[1]郑州轻工业学院数学与信息科学系,河南郑州450002 [2]郑州轻工业学院民族职业学院,河南郑州450001

出　　处：《郑州轻工业学院学报（自然科学版）》2009年第2期111-112,119,共3页Journal of Zhengzhou University of Light Industry:Natural Science

基　　金：国家自然科学基金项目(10701066);河南省教育厅自然科学基金项目(2008A110022)

摘　　要：给出一类三阶收敛的牛顿变形方法.证明了该方法的收敛性(它们至少3阶收敛到单根),给出数值试验,且与牛顿法及牛顿类方法做了比较,结果表明该方法具有一定的优越性.A class of third-order convergence methods, which are variant＇s of Newton＇s method, is given. Their convergence properties are proved. They are at least third-order convergence near simple root. Further more, the numerical tests are given and compared with Newton＇s method and Newton-like methods. The results show that the proposed methods have some advantages.

关 键 词：牛顿迭代法 收敛阶 数值试验 

分 类 号：O241.7[理学—计算数学]