A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

Ashu Bahl, Alicia Cordero, Rajni Sharma and Juan R. Torregrosa

Applied Mathematics and Computation, 2019, vol. 357, issue C, 147-166

Abstract: In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. The stability of the proposed class, presented as an appendix, is used for selecting the most stable members of the family with optimum numerical performance. From the comparison with some existing methods of similar nature, it is observed that the presented methods show robust and efficient character.

Keywords: Nonlinear systems; Iterative methods; Complex dynamics; Parameter plane; Basins of attraction; Stability (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:357:y:2019:i:c:p:147-166

DOI: 10.1016/j.amc.2019.04.003

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