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Listar por palabra clave "Weight functions"

Mostrando ítems 1-6 de 6

A family of optimal fourth-order methods for multiple roots of nonlinear equations

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2020-09-30)

[EN] Newton-Raphson method has always remained as the widely used method for finding simple and multiple roots of nonlinear equations. In the past years, many new methods have been introduced for finding multiple zeros ...
CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Martínez, Tobías H.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2020-03)

[EN] The third-order iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative ...
Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods

Cordero Barbero, Alicia; Leonardo Sepúlveda, Miguel A.; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2022-10)

[EN] In this manuscript, we propose a parametric family of iterative methods of fourth-order convergence, and the stability of the class is studied through the use of tools of complex dynamics. We obtain the fixed and ...
Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction

Padilla, José J.; Chicharro, Francisco I.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2022-10)

[EN] Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of ...
Stability analysis of a family of optimal fourth-order methods for multiple roots

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2019-07)

[EN] Complex dynamics tools applied on the rational functions resulting from a parametric family of roots solvers for nonlinear equations provide very useful results that have been stated in the last years. These qualitative ...
Wide stability in a new family of optimal fourth-order iterative methods

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2019-03-11)

[EN] A new family of two¿steps fourth¿order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung¿Traub conjecture and it ...