A new semilocal convergence theorem of Müller’s method

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摘要

A semilocal convergence theorem of Müller’s method is established under the γ-condition. An error estimation is given which matches the convergence order of the method. Numerical examples are provided to show that our results apply, where earlier ones fail.

论文关键词:Müller’s method,Nonlinear equation,Semilocal convergence,γ-Condition,Error estimation

论文评审过程:Available online 6 October 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.09.057