New efficient methods for solving nonlinear systems of equations with arbitrary even order

Saeid Abbasbandy, Parisa Bakhtiari, Alicia Cordero, Juan R. Torregrosa and Taher Lotfi

Applied Mathematics and Computation, 2016, vol. 287-288, 94-103

Abstract: In 2011, Khattri and Abbasbandy developed an optimal two-step Jarratt-like method for approximating simple roots of a nonlinear equation. We develop their method for solving nonlinear systems of equations. The main feature of the extended methods is that it uses only one LU factorization which preserves and reduces computational complexities. Following this aim, the suggested method is generalized in such a way that we increase the order of convergence but we do not need new LU factorization. Convergence and complexity analysis are provided rigorously. Using some small and large systems, applicability along with some comparisons are illustrated.

Keywords: Nonlinear systems; Multipoint iteration; Matrix LU factorization; Computational efficiency (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:287-288:y:2016:i::p:94-103

DOI: 10.1016/j.amc.2016.04.038

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