Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations

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摘要

The goal of this paper is to predetermine the steps m after which the first derivative is re–evaluated for multi-step Newton-type method used to approximate solutions of equations.

论文关键词:Multi-step Newton-type method,Banach space,Euclidean space,Semi-local convergence,Center-Lipschitz and Lipschitz conditions,Systems of differential equations

论文评审过程:Received 30 July 2017, Accepted 11 February 2018, Available online 2 March 2018, Version of Record 2 March 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.02.024