[EN] This paper focuses on solving nonlinear systems numerically. We propose an efficient family of three-step iterative schemes with seventh-order of convergence. The proposed methods are obtained by using the weight ...

[EN] In recent papers, some fractional Newton-type methods have been proposed by using the Riemann-Liouville and Caputo fractional derivatives in their iterative schemes, with order 2 alpha or 1+alpha. In this manuscript, ...

In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space ...

[EN] In this paper, a three-step iterative method with sixth-order local convergence for approximating the solution of a nonlinear system is presented. From Ostrowski¿s scheme adding one step of Newton with ¿frozen¿ ...

Two iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. Numerical comparisons are made with other existing second-and fourth-order schemes to solve the nonlinear ...

[EN] A secant-type method is designed for approximating the inverse and some generalized inverses of a complex matrix A. For a nonsingular matrix, the proposed method gives us an approximation of the inverse and, when the ...

[EN] 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 with memory usually have a very stable ...

[EN] 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 the efficiency of a similar ...

[EN] In this paper, from Traub’s method and by applying weight function technique, a bi-parametric family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for solving nonlinear equations, ...