Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high convergence order
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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.
论文关键词：65D10,65D99,65G99,47H17,49M15,Banach space,Multi-point,Multi-parametric method,Chebyshev–Halley methods,Local convergence,Radius of convergence
论文评审过程：Received 13 February 2014, Revised 12 December 2014, Available online 13 January 2015.
论文官网地址：https://doi.org/10.1016/j.cam.2014.12.023
