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Browsing by Author "Garrido Saez, Neus"

Now showing items 1-8 of 8

Diseño, análisis y estabilidad de métodos iterativos con memoria para la resolución de ecuaciones y sistemas no lineales

Garrido Saez, Neus (Universitat Politècnica de València, 2020-09-02)

[ES] El diseño de métodos iterativos para resolver ecuaciones y sistemas de ecuaciones no lineales es una tarea importante y desafiante en el campo del Análisis Numérico. La no linealidad es una característica de muchos ...
Generalized high-order classes for solving nonlinear systems and their applications

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-12)

[EN] A generalized high-order class for approximating the solution of nonlinear systems of equations is introduced. First, from a fourth-order iterative family for solving nonlinear equations, we propose an extension to ...
Generating root-finder iterative methods of second order: convergence and stability

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-05-06)

[EN] In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, ...
Impact on stability by the use of memory in Traub-type schemes

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2020-02)

[EN] In this work, two Traub-type methods with memory are introduced using accelerating parameters. To obtain schemes with memory, after the inclusion of these parameters in Traub's method, they have been designed using ...
On the choice of the best members of the Kim family and the improvement of its convergence

Chicharro Lopez, Francisco Israel; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2020-09-30)
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (Elsevier, 2020-06)

[EN] 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 approximation of the derivative of second ...
Stability and applicability of iterative methods with memory

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2019-05)

[EN] Based on the third-order Traub's method, two iterative schemes with memory are introduced. The proper inclusion of accelerating parameters allows the introduction of memory. Therefore, the order of convergence of the ...
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 is ...

Now showing items 1-8 of 8

Browsing by Author "Garrido Saez, Neus"

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Browsing by Author "Garrido Saez, Neus"