In this work, first, a family of fourth‐order methods is proposed to solve nonlinear equations.
The methods satisfy the Kung‐Traub optimality conjecture. By developing the methods into …

In this paper, we propose, to the best of our knowledge, the first iterative scheme with
memory for finding roots whose multiplicity is unknown existing in the literature. It improves …

In this study, we construct the one parameter optimal derivative-free iterative family to find
the multiple roots of an algebraic nonlinear function. Many researchers developed the …

Numerous branches of applied science and engineering commonly encounter nonlinear
equations that must be solved using effective numerical techniques. This research article …

We present a modification of Kurchatov's iterative method in order to solve a nonlinear
equation with multiple roots, that is, for approximating solutions with multiplicity greater than …

Many practical problems, such as the Malthusian population growth model, eigenvalue
computations for matrices, and solving the Van der Waals' ideal gas equation, inherently …

[ES] En gran cantidad de problemas de la matemática aplicada, existe la necesidad de
resolver ecuaciones y sistemas no lineales, dado que numerosos problemas, finalmente, se …

In this paper, with the aim of approximate the ball convergence of nonlinear equation, we
study the local properties of a class of sixth-order Jarratt-type iterative methods in Banach …

The current research develops a derivative-free family without memory methods. The
proposed method consisting of two steps and one parameter for solving nonlinear equations …

In this manuscript, we introduce a two‐step convergent iterative scheme to compute the
roots with multiplicity mm of nonlinear equations. Most of the schemes in literature have …