Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:282

Article

Argyros, Ioannis K.¹  George, Santhosh²  Alberto Magrenan, A.³ 

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Mangaluru 757025, Karnataka, India

[3] Univ Int La Rioja, Dept TFG TFM, Logrono 26002, Spain

关键词: Banach space;    Multi-point;    Multi-parametric method;    Chebyshev-Halley methods;    Local convergence;    Radius of convergence;   

DOI  :  10.1016/j.cam.2014.12.023

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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