When exploring the literature, it can be observed that the operator obtained when applying
Newton-like root finding algorithms to the quadratic polynomials z 2− c has the same form …

In this paper, we propose a fifth-order scheme for solving systems of nonlinear equations.
The convergence analysis of the proposed technique is discussed. The proposed method is …

Nonlinear phenomena occur in diverse fields such as science, engineering and business.
Research within computational science is continuously advancing, characterized by the …

We present a new Jarratt-type family of optimal fourth-and sixth-order iterative methods for
solving nonlinear equations, along with their convergence properties. The schemes are …

In this paper, we present a three-step sixth-order class of iterative schemes to estimate the
solutions of a nonlinear system of equations. This procedure is designed by means of a …

In this manuscript, a new type of study regarding the iterative methods for solving nonlinear
models is presented. The goal of this work is to design a new fourth-order optimal family of …

In this study, we introduced a new family of two-and three-step iterative methods for solving
non-linear equations. The proposed methods adhere to the Kung and Traub conjecture …

We extend a class of quadrature-based predictor–corrector techniques for root-finding to
multivariate systems. They are found to have a rate of convergence of 1+ 2 regardless of the …

In this paper, we investigate and compare several optimal fourth and eighth-order iterative
methods for solving nonlinear equations, examining their basins of attraction through lower …

En las últimas décadas, la producción científica sobre los métodos numéricos de varios
pasos para resolver ecuaciones no lineales o sistemas de ecuaciones no lineales se ha …