Higher order Jarratt-like iterations for solving systems of nonlinear equations

T. Zhanlav and Kh. Otgondorj

Applied Mathematics and Computation, 2021, vol. 395, issue C

Abstract: In this article, we propose a new family of methods, such as Jarratt, with the fifth and sixth order. This includes some popular methods as special cases. We propose four different selection for parameter matrix Tk. The main advantage of the proposed methods is that they work well for any value of parameter “a” in the first stage of iterations, while the existing methods work only for some a(2/3or1/2). Thus, we extend essentially the domain of applicability of the original ones. Based on the computational efficiency analysis, we also made a selection of some high-efficiency ones among the families.

Keywords: Systems of nonlinear equations; Jarratt-like methods; Order of convergence; Computational efficiency; Higher order methods (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:395:y:2021:i:c:s009630032030802x

DOI: 10.1016/j.amc.2020.125849

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