Local convergence analysis of two iterative methods

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Date

2022

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Springer Science and Business Media B.V.

Abstract

In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.

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Keywords

Banach space, Dynamics of iterative method, Fréchet derivative, Iterative method, Order of convergence

Citation

Journal of Analysis, 2022, 30, 4, pp. 1497-1508

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