四步八阶迭代法解非线性方程组

Four-step iterative methods of eighth order for solving the system of nonlinear equations

文章给出了3种新的解非线性方程组的迭代方法,并证明了它们具有八阶收敛性,最后通过给出的数值实例,将现有的几种迭代方法和3种新方法作了分析比较,表明了该方法具有较好的优越性。

In this paper,three new four-step iterative methods for solving the system of nonlinear equations using quadrature formulas are presented and analyzed.It is proved that these new methods are of the convergence of eighth order.Some numerical examples are given to show that the new methods outperform the other existing methods.