A Newton–Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space
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摘要
Under the weaken conditions, we establish the Newton–Kantorovich convergence theorem of inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. Finally, some examples are provided to show the application of our theorem.
论文关键词：Jarratt method,Banach space,Nonlinear operator equation,Newton–Kantorovich theorem
论文评审过程：Available online 20 January 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2005.11.076
