On a robust Aitken–Newton method based on the Hermite polynomial

Ion Păvăloiu and Emil Cătinaş

Applied Mathematics and Computation, 2016, vol. 287-288, 224-231

Abstract: We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial of degree 2, with two nodes given by the Newton method.

Keywords: Nonlinear equations in R; Newton-type iterative methods; Inverse interpolation; (Sided) convergence domains; Monotone convergence (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:287-288:y:2016:i::p:224-231

DOI: 10.1016/j.amc.2016.03.036

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