An efficient three-step method to solve system of nonlinear equations

H. Esmaeili and M. Ahmadi

Applied Mathematics and Computation, 2015, vol. 266, issue C, 1093-1101

Abstract: In this paper, we suggest a sixth order convergence three-step method to solve system of nonlinear equations. Every iteration of the method requires two function evaluations, two first Fréchet derivative evaluations and two matrix inversions. Hence, the efficiency index is 61/(2n+6n2+43n3), which is better than that of other sixth order methods. The advantages of the method lie in the feature that this technique not only achieves an approximate solution with high accuracy, but also improves the calculation speed. Also, under several mild conditions the convergence analysis of the proposed method is provided. An efficient error estimation is presented for the approximate solution. Numerical examples are included to demonstrate the validity and applicability of the method and the comparisons are made with the existing results.

Keywords: Nonlinear equations; Iterative methods; Convergence order; Efficiency index (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315007006
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:1093-1101

DOI: 10.1016/j.amc.2015.05.076

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().