We discuss an iterative method free from derivative based on divided difference for solving nonlinear equation. This iterative method has the convergence of order six and for each iteration it requires four function ...

This article discusses two modification of Cauchy’s method by using Taylor’s expansion of second and third order to solve nonlinear equations. Both methods have order of convergence four and need three function evaluations ...

This article discusses an improvement for the iterative method based on the Ostrowski. Analytically, it is showed using Taylor expansion and geometry series that this iterative method has a convergence sixht-order. ...