Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high
Autor:
Argyros, Ioannis K
; George, Santhosh
; Magreñán, Á. Alberto
Fecha:
07/2015Palabra clave:
Revista / editorial:
Journal of Computational and Applied MathematicsCitación:
Argyros, I. .K. , George, S & Magreñán, A. .A. (2015). Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high convergence order. Journal of computational and Mathematical Physics, 282(1), 215-224.Tipo de Ítem:
Articulo Revista IndexadaResumen:
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes earlier methods given by others as special cases. The convergence ball for a class of MMCHTM methods is obtained under weaker hypotheses than before. Numerical examples are also presented in this study. (C) 2014 Elsevier B.V. All rights reserved.
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 |
| 27 |
| 27 |
| 33 |
| 18 |
| 43 |
| 39 |
| 108 |
| Descargas |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
Ítems relacionados
Mostrando ítems relacionados por Título, autor o materia.
-
Expanding the convergence domain for Chun-Stanica-Neta family of third order methods in banach spaces
Argyros, Ioannis K; Santhosh, George; Magreñán, Á. Alberto (Journal of the Korean Mathematical Society, 01/2015)We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica. and Neta. These ... -
Extending the mesh independence for solving nonlinear equations using restricted domains
Argyros, Ioannis K; Sheth, Soham M.; Younis, Rami M.; Magreñán, Á. Alberto ; George, Santhosh (International Journal of Applied and Computational Mathematics, 12/2017)The mesh independence principle states that, if Newton’s method is used to solve an equation on Banach spaces as well as finite dimensional discretizations of that equation, then the behaviour of the discretized process ... -
Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields
Argyros, Christopher I.; Argyros, Michael I; Argyros, Ioannis K; Magreñán, Á. Alberto; Sarría, Íñigo (Journal of Computational and Applied Mathematics, 2023)The convergence is developed for a large class of Chebyshev-two point-like methods for solving Banach space valued equations. Both the local as well as the semi-local convergence is provided for these methods under general ...
