Research interest in iterative multipoint schemes to solve nonlinear problems has increased
recently because of the drawbacks of point-to-point methods, which need high-order …

Recently, there were many papers discussing the basins of attraction of various methods
and ideas how to choose the parameters appearing in families of methods and weight …

In this article, we construct the most powerful family of simultaneous iterative method with
global convergence behavior among all the existing methods in literature for finding all roots …

We derive new iterative methods with memory for approximating a simple zero of a
nonlinear single variable function. To this end, we first consider several modifications on …

We suggest a derivative-free optimal method of second order which is a new version of a
modification of Newton's method for achieving the multiple zeros of nonlinear single variable …

We introduce a new class of optimal iterative methods without memory for approximating a
simple root of a given nonlinear equation. The proposed class uses four function evaluations …

Several families of optimal eighth order methods to find simple roots are compared to the
best known eighth order method due to Wang and Liu (2010). We have tried to improve their …

In this study, a three-point iterative method for solving nonlinear equations is presented. The
purpose is to upgrade a fourth order iterative method by adding one Newton step and using …

In this work, we have constructed the with memory two-step method with four convergence
degrees by entering the maximum self-accelerator parameter (three parameters). Then …

In this paper, we present an iterative three-point method with memory based on the family of
King's methods to solve nonlinear equations. This proposed method has eighth order …