In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this procedure to any iterative method of order $p$, we obtain a new scheme of order of convergence $2p$. Some numerical tests allow us to confirm the theoretical results and to compare the proposed schemes with other known methods for simultaneous roots of polynomial and non-polynomial functions.

中文翻译：

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同时求非线性方程所有根的迭代方案

在本文中，我们提出了一个可以添加到任何迭代方案中的过程，以便将其变成一种迭代方法，用于同时逼近任何非线性方程的所有根。通过将此过程应用于任何迭代的排序方法$p$, 我们得到一个新的收敛阶方案$2p$. 一些数值测试使我们能够确认理论结果并将所提出的方案与其他已知的多项式和非多项式函数的同时根方法进行比较。