Basins of attraction for several third order methods to find multiple roots of nonlinear equations

Changbum Chun and Beny Neta

Applied Mathematics and Computation, 2015, vol. 268, issue C, 129-137

Abstract: There are several third order methods for solving a nonlinear algebraic equation having roots of a given multiplicity m. Here we compare a recent family of methods of order three to Euler–Cauchy’s method which is found to be the best in the previous work. There are fewer fourth order methods for multiple roots but we will not include them here.

Keywords: Iterative methods; Order of convergence; Basin of attraction; Multiple roots (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:129-137

DOI: 10.1016/j.amc.2015.06.068

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