一个新的四阶迭代法和一族新的三阶迭代法

A new fourth-order iterative method and a new family of third-order iterative methods

目的研究解非线性方程组中的算法问题,得到更高收敛阶的迭代法。方法采用离散C-方法,用数值例子与其他方法进行比较。结果得到一族三阶迭代法且参数取特定值时得到解非线性方程组的一个四阶迭代法。结论此迭代法对解非线性方程组有极其重要的意义。

Aim To study the method of solving nonlinear equation and obtain high order iterative method. Methods The discrete C--method and present numerical examples were used to compare to other methods. Results The third-order method or four depending on the choices of parameters are gotten. Conclusion The methods play a leading role in the studies of solving nonlinear equations.