An analysis of the semilocal convergence for secant-like methods

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摘要

We present a variation of the technique of proving the semilocal convergence of the family of secant-like methods given in [8], which allows improving the domains of parameters of these methods, along with extending them to situations in which the operator involved is nondifferentiable.

论文关键词:Nonlinear equation,Secant-like methods,Semilocal convergence,Domain of parameters,Integral equation of Hammerstein

论文评审过程:Received 22 January 2015, Revised 7 May 2015, Accepted 16 May 2015, Available online 24 June 2015, Version of Record 24 June 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.149