Majorizing functions and two-point Newton-type methods
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摘要
The semi-local convergence of a Newton-type method used to solve nonlinear equations in a Banach space is studied. We also give, as two important applications, convergence analyses of two classes of two-point Newton-type methods including a method mentioned in [5] and the midpoint method studied in [1], [2], [12]. Recently, interest has been shown in such methods [3], [4].
论文关键词：65G99,65K10,47H17,49M15,Newton-type method,Banach space,Semi-local convergence,Lipschitz condition,Fréchet derivative,Majorizing sequences
论文评审过程：Received 27 October 2008, Revised 27 December 2009, Available online 20 February 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.02.024
