On the choice of the best members of the Kim family and the improvement of its convergence
Autor:
Chicharro, Francisco Israel
; Cordero, Alicia
; Garrido, Neus
; Torregrosa, Juan Ramón
Fecha:
30/09/2020Palabra clave:
Revista / editorial:
Mathematical Methods in the Applied SciencesTipo de Ítem:
conferenceObjectDirección web:
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6014Resumen:
The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory is presented in order to obtain information about the stability of them. Numerical experiments are shown for confirming the theoretical results.
Este ítem aparece en la(s) siguiente(s) colección(es)
Estadísticas de uso
| Año |
| 2012 |
| 2013 |
| 2014 |
| 2015 |
| 2016 |
| 2017 |
| 2018 |
| 2019 |
| 2020 |
| 2021 |
| 2022 |
| 2023 |
| 2024 |
| Vistas |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 25 |
| 33 |
| 32 |
| 43 |
| 68 |
| Descargas |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
Ítems relacionados
Mostrando ítems relacionados por Título, autor o materia.
-
Stability and applicability of iterative methods with memory
Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 15/03/2019)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 ... -
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory
Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón (Applied Mathematics Letters, 06/2020)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 order. ... -
Anomalies in the convergence of Traub‐type methods with memory
Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Computational and Mathematical Methods, 06/08/2019)The stability analysis of a new family of iterative methods with memory isintroduced. This family, designed from Traub's method, allows to add memorythrough the introduction of an accelerating parameter. Hence, the speed ...
