Geometric constructions of iterative functions to solve nonlinear equations

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摘要

In this paper we present the geometrical interpretation of several iterative methods to solve a nonlinear scalar equation. In addition, we also review the extension to general Banach spaces and some computational aspects of these methods.

论文关键词:65F15,65J15,65H05,Newton's method,Iterative methods,Nonlinear equations

论文评审过程:Received 12 October 2002, Revised 15 January 2003, Available online 24 June 2003.

论文官网地址:https://doi.org/10.1016/S0377-0427(03)00420-5