We prove the sufficient conditions for convergence of a certain iterative process of order 2 for solving nonlinear functional equations, which does not require inverting the derivative. We translate and detail our results for a system of nonlinear equations, and apply it for some numerical example which illustrates our theorems.

翻译：我们证明,解决非线性功能方程式的非线性功能方程式的某种迭代程序,不需要颠倒衍生方程式。 我们翻译并详细说明了非线性方程式系统的结果,并应用到一些能说明我们理论的数值示例中。