Convergence and error estimate of a deformed Newton method

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摘要

In this paper, we present a deformed Newton method in Banach space, which is cubically convergent and establish Kantorovich-type theorem for this kind of method by using majorizing function. Moreover, an error estimate is given.

论文关键词:Nonlinear equation in Banach space,Deformed Newton method,Majorizing function,Convergent theorem,Error estimate

论文评审过程:Available online 14 June 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.04.038