Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high
Argyros, Ioannis K
Magreñán, Á. Alberto (1)
Tipo de Ítem:Articulo Revista Indexada
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)
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 (1) (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 ...
Argyros, Ioannis K; Sheth, Soham M.; Younis, Rami M.; Magreñán, Á. Alberto (1); 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 ...
Extending the domain of starting points for Newton's method under conditions on the second derivative Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Magreñán, Á. Alberto (1) (Journal of Computational and Applied Mathematics, 10/2018)In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we ...