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Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative

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Using conditions on the second Frechet derivative, fifth order of convergence was established in Singh et al. (Mediterr J Math 13:4219–4235, 2016) for an iterative method. In this paper, we… Click to show full abstract

Using conditions on the second Frechet derivative, fifth order of convergence was established in Singh et al. (Mediterr J Math 13:4219–4235, 2016) for an iterative method. In this paper, we establish fifth order of convergence of the method using assumptions only on the first Frechet derivative of the involved operator.

Keywords: method using; convergence; order; iterative method; fifth order

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2021

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