Abstract In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied on quadratic polynomials. We obtain the values of the parameters that reduce the number of free critical points. We select the one-parametric subfamilies with only one free critical point and we carry out a dynamical study of these subfamilies. For each subfamily we study the parameter plane in order to consider which numerical methods are more appropriate for solving nonlinear equations.

中文翻译：

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Ostrowski-Chun 方法亚族的动力学

摘要 在本文中，我们对应用于二次多项式的 Ostrowski-Chun 方法的双参数族的不动点和临界点进行了分类。我们获得了减少自由临界点数量的参数值。我们选择只有一个自由临界点的单参数子族，并对这些子族进行动态研究。对于每个子族，我们研究参数平面以考虑哪种数值方法更适合求解非线性方程。