用帕弟逼近构造非线性方程的求根迭代公式

Using the Pade Approximation to Construct anIterative Formula for Finding the Roots,of Nonlinear Equations

本文给出用帕弟逼近构造非线性方程求根迭代公式的方法,并以选取最简单的帕弟逼近做为例,给出了具体的三阶(包括重根附近)收敛方法.

Abstract This paper, using Pade approximation method, give a const ructive method for finding the root of a nonlinear equation. And we choose the simplest Pade approximation as an example, it gives a concrete 3-order convergent method, (as well in the neighbourhood of a multiple root)