求解非线性方程根四阶收敛的迭代格式  

A Fourth-Order Iterative Method for Solving Non-Linear Equations

作　　者：开依沙尔.热合曼 热合买提江.依明江 买买提明.艾尼 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046 [2]新疆大学机械工程学院,新疆乌鲁木齐830046

出　　处：《数学的实践与认识》2013年第7期236-240,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(51075346;11261057)

摘　　要：提出了求解非线性方程根新的四阶收敛迭代方法,新方法每次迭代只需要两次函数计算,一次一阶导数值计算,效能指数达到1.587.通过几个数值算例来解释该方法的有效性.In this paper, we present a new fourth-order iterative method for solving nonlinear equations. Per iteration the new method requires two evaluations of the function and one evaluation of its first derivative.and the efficiency index equal to 1.587. Several numerical examples are given to illustrate the efficiency and performance of some of the presented methods.

关 键 词：非线性方程 NEWTON方法 迭代方法 四阶收敛 

分 类 号：O241.7[理学—计算数学]