一种解非线性方程组的四阶迭代方法

An Iterative Methods to Solve Systems of Nonlinear Equations with Fourth-order Convergence

结合两种已知的解非线性方程组的迭代方法,给出了一种新的解非线性方程组的四阶迭代方法,并证明了其具有四阶收敛性.然后,通过数值实例对几种不同的迭代方法和本文提出的新方法进行了分析比较,说明了本文方法的优越性.

In this paper, two new iterative methods were proposed to solve system of nonlinear equauons and the convergence was prove. Numerical examples were given to show that the proposed method is significantly improved compared with other iterative methods.