关于解非线性方程迭代法的几点注记

Some Notes on the Iterative Methods for Solving Nonlinear Equation

迭代算法是目前计算非线性方程数值解的最主要的方法,对现有主要结论进行补充和注记对于理解这一部分理论的本质很有必要.本文主要给出关于简单迭代法、牛顿迭代法、弦割法的收敛性的一些注记和结果,并选择具体算例进行数值实验对结果做进一步验证.

Iterative algorithm is the most important method to find the solution of nonlinear equations at present.It is necessary to supplement the existing main conclusions to understand the essence of the theory of this part.This paper mainly gives some annotations and results about the convergence of the simple iterative method,Newton iterative method and secant method,and selects some specific examples for numerical experiments to further verify the results.