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.
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