On the R-order of convergence of Newton's method under mild differentiability conditions

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摘要

A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions than the Kantorovich ones are considered.

论文关键词：47H17,65J15,Nonlinear equations in Banach spaces,Newton's method,Semilocal convergence theorem,R-order of convergence,A priori error bounds,Nonlinear integral equation

论文评审过程：Received 5 July 2005, Available online 21 November 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.10.023