Abstract
Using conditions on the second Fréchet 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 Fréchet derivative of the involved operator.
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The works of Santhosh George and Jidesh P are supported by the Core Research Grant by SERB, Department of Science and Technology, Govt. of India, EMR/2017/001594.
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George, S., Argyros, I.K., Jidesh, P. et al. Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative. Mediterr. J. Math. 18, 57 (2021). https://doi.org/10.1007/s00009-021-01697-6
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DOI: https://doi.org/10.1007/s00009-021-01697-6