Solving nonlinear equations systems (NESs) is one of the most important tasks in numerical
computation. It is common that most NESs contain more than one root. Generally, these …

An iterative method with fifth order of convergence for solving nonlinear systems is
formulated and analyzed. Primary goal of the development of method is to keep the both …

A typical class of recurrent neural networks called zeroing neural network (ZNN) has been
considered as a powerful alternative for time-varying problems solving. In this paper, a new …

Iterative methods with memory for solving nonlinear systems have been designed. For
approximating the accelerating parameters the Kurchatov's divided difference is used as an …

A significant concern with statistical fault diagnosis is the large number of false alarms
caused by the smearing effect. Although the reconstruction-based approach effectively …

In this paper, we construct a derivative-free multi-step iterative scheme based on
Steffensen's method. To avoid excessively increasing the number of functional evaluations …

In this paper, we discover new techniques to construct efficient higher order iterative
methods for the longstanding problem of solving systems of nonlinear equations. Given any …

Iterative methods for solving nonlinear equations are said to have memory when the
calculation of the next iterate requires the use of more than one previous iteration. Methods …

We have modified our previously developed fourth order method to approximate solution of
systems of equations including non-differentiable ones. The most recent article by Kumar et …

In the present paper, at first, we propose a new two-step iterative method for solving
nonlinear equations. This scheme is based on the Steffensen's method, in which the order of …