On the convergence of King–Werner-type methods of order 1+2 free of derivatives

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摘要

We present a semilocal and local convergence analysis of some efficient King–Werner-type methods of order 1+2 free of derivatives in a Banach space setting. Numerical examples are presented to illustrate the theoretical results.

论文关键词：King’s method,Werner’s method,Secant-type method,Banach space,Semilocal and local convergence analysis,Fréchet-derivative

论文评审过程：Available online 2 February 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.01.028