Multipoint iterative methods belong to the class of the most efficient methods for solving
nonlinear equations. Recent interest in the research and development of this type of …

In this paper, the behavior of a Jarratt family of iterative methods applied to quadratic
polynomials is studied. Some anomalies are found in this family be means of studying the …

The complex dynamical analysis of the parametric fourth‐order Kim's iterative family is made
on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images …

In this paper, the dynamics of King's family of iterative schemes for solving nonlinear
equations is studied. The parameter spaces are presented, showing the complexity of the …

There are many methods for solving a nonlinear algebraic equation. The methods are
classified by the order, informational efficiency and efficiency index. Here we consider other …

The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4
methods, is studied in case of quadratic and cubic polynomials. The parameter plane is …

Nonlinear phenomena occur in diverse fields such as science, engineering and business.
Research within computational science is continuously advancing, characterized by the …

Several optimal eighth order methods to obtain simple roots are analyzed. The methods are
based on two step, fourth order optimal methods and a third step of modified Newton. The …

In this paper, the dynamics of the Chebyshev–Halley family is studied on quadratic
polynomials. A singular set, that we call cat set, appears in the parameter space associated …

This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-
order convergence. The method is specifically tailored to meet the optimality condition under …