Articulo Revista Indexada
Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high
Registro en:
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.
1879-1778
Autor
Argyros, Ioannis K
George, Santhosh
Magreñán, Á. Alberto (1)
Institución
Resumen
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.