A family of modified Ostrowski methods with accelerated sixth order convergence

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摘要

Based on Ostrowski fourth order multipoint method, we derive a one-parameter family of sixth order methods for solving equations. Each member of the family requires three evaluations of the given function and one evaluation of its derivative per iteration. Numerical examples are presented and performance is compared with Ostrowski method.

论文关键词：Nonlinear equations,Ostrowski method,Root-finding,Convergence,Function evaluations

论文评审过程：Available online 13 January 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.01.009