A new two-parametric family of derivative-free iterative methods for solving nonlinear
equations is presented. First, a new biparametric family without memory of optimal order four …

We propose a new optimal iterative scheme without memory free from derivatives for solving
non-linear equations. There are many iterative schemes existing in the literature which …

A new inverse family of the iterative method is interrogated in the present article for
simultaneously estimating all distinct and multiple roots of nonlinear polynomial equations …

In this paper, we present a new tri-parametric derivative-free family of Hansen-Patrick type
methods for solving nonlinear equations numerically. The proposed family requires only …

Some methods with memory for solving nonlinear equations are designed from known
methods without memory. We increase the convergence order from 4 to 6 by using a free …

Necessary and sufficient conditions for derivative-free two-and three-point iterative methods
to have the optimal convergence order are obtained. These conditions can be effectively …

The problem considered in this paper is to approximate the simple zeros of the function f (x)
by iterative processes. An optimal 16th order class is constructed. The class is built by …

Neste trabalho são apresentados alguns métodos iterativos clássicos e outros mais
recentes para a resolução de sistemas de equações não lineares. Apresenta-se também …

Solving nonlinear equations by using iterative methods is discussed in this paper. An
optimally convergent class of efficient three-point three-step methods without memory is …

This paper investigates an optimal family of derivative-free fast 16th-order multipoint iterative
methods for solving nonlinear equations using polynomial weighting functions and a real …