Improved local convergence of Newton’s method under weak majorant condition

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摘要

We provide a local convergence analysis for Newton’s method under a weak majorant condition in a Banach space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than before [14]. Special cases and numerical examples are also provided in this study.

论文关键词：65G99,65K10,47H17,49M15,90C30,Newton’s method,Banach space,Majorant condition,Local convergence,Radius of convergence

论文评审过程：Received 7 February 2011, Revised 24 October 2011, Available online 3 November 2011.

论文官网地址：https://doi.org/10.1016/j.cam.2011.10.021