Some hybrid derivative-free methods for nonlinear system of equations via acceleration and correction parameters are presented. These methods are based on applying the three term hybrid iterative scheme on an enhance matrix free method. The step length was determined using an inexact line search procedure. Moreover, the proposed methods proved to be globally convergent under mild conditions. The comprehensive numerical results presented in this work, show the efficiency of the proposed methods by comparing them with some existing methods in the previous literature.

中文翻译：

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求解非线性方程组的修正无矩阵方法

提出了一些通过加速度和修正参数求解非线性方程组的混合无导数方法。这些方法基于在增强矩阵自由方法上应用三项混合迭代方案。步长是使用不精确的线搜索程序确定的。此外，所提出的方法被证明在温和条件下是全局收敛的。这项工作中提出的综合数值结果，通过将它们与以前文献中的一些现有方法进行比较，显示了所提出方法的效率。