摘要
本文根据一元函数的Taylor公式和求解一元非线性方程的牛顿迭代法之间的关系,利用多元函数的Taylor公式推导出了二元非线性方程组的牛顿迭代法;在此基础上,通过MATLAB仿真计算一个方程组的根来说明该方法是可行的。
According to the relation between Taylor's law for one independent variable and Newton 's method about the nonlinear function of one independent variable,a Newton's method for the nonlinear equation set of two independent variables was derived by Taylor's law for moltivariate function based on this.it is possible to verify the method through MATLAb to calculate the root of the equation.
关键词
牛顿迭代法
一元函数
二元函数
Tayor公式
MATLAB
Newton's Iterative method
function of one independent variable
function of two independent variables
Taylor formula
Matlab