Dynamics of subfamilies of Ostrowski–Chun methods

In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic 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 thesesubfamilies. For each subfamily we study the parameter plane in order to consider which numerical methods are moreappropriate for solving nonlinear equations