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Local convergence for an almost sixth order method for solving equations under weak conditions

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Abstract

A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA

    Ioannis K. Argyros

  2. Department of Mathematical and Computational Sciences, NIT Karnataka, Mangalore, 575 025, India

    Santhosh George

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  1. Ioannis K. Argyros
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  2. Santhosh George
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Correspondence to Santhosh George.

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Argyros, I.K., George, S. Local convergence for an almost sixth order method for solving equations under weak conditions. SeMA 75, 163–171 (2018). https://doi.org/10.1007/s40324-017-0127-z

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  • DOI: https://doi.org/10.1007/s40324-017-0127-z

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