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

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.