非线性代数方程修正牛顿迭代格式的改进  

Improvement of modified Newton methods for solving a nonlinearalgebraic equation

作　　者：开依沙尔.热合曼 努尔买买提.黑力力[1] 

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

出　　处：《新疆师范大学学报（自然科学版）》2010年第4期59-62,共4页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：新疆维吾尔自治区自然科学基金(2009211B05);新疆大学校院联合项目(070194)

摘　　要：文章将经典牛顿方法预测,隐式中点牛顿迭代格式校正,得到一种新的求解非线性代数方程的改进的修正牛顿迭代格式,该方法具有较快的收敛速度,并用数值实例来验证该方法。数值实验表明,该算法比牛顿迭代和文献中的修正牛顿迭代格式收敛速度要快。In this paper,we present a new Improvement of modified Newton method for solving a nonlinear algebraic equation by using the wellknown Newton method act as a predictor Midpoint Newton method as a corrector.the method convergence speed is faster,and use numerical examples to vertify.Numerical experiments show that We proposed a new iteration methods perform better result than the previously known Newton method and modified Newton method methods.by reference.

关 键 词：非线性方程 牛顿方法 中点牛顿方法 修正牛顿方法 预测-校正 

分 类 号：O241.7[理学—计算数学] TP319[理学—数学]