Historical developments in convergence analysis for Newton's and Newton-like methods

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摘要

Historical developments in convergence theory as well as error estimates for Newton's method and Newton-like methods for nonlinear equations are described, mainly for differentiable equations in Banach spaces.

论文关键词:47H17,65J15,Nonlinear equations,Convergence theorems,Error estimates,Newton's method,Newton-like methods,Halley's method

论文评审过程:Received 18 August 1999, Revised 22 November 1999, Available online 10 November 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(00)00417-9