A sixth order transformation method for finding multiple roots of nonlinear equations and basin attractors for various methods

Rajni Sharma and Ashu Bahl

Applied Mathematics and Computation, 2015, vol. 269, issue C, 105-117

Abstract: In this contribution, a sixth-order transformation method is proposed and analyzed for finding multiple roots of nonlinear equations, when the multiplicity of the root is not known explicitly. The proposed method does not require the evaluation of second derivative. The basins of attraction of existing transformation methods and the proposed method are presented to demonstrate their performance.

Keywords: Nonlinear equations; Iterative method; Multiple root; Order of convergence; Basins of attraction (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:105-117

DOI: 10.1016/j.amc.2015.07.056

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