Local convergence of sixth-order newton-like methods based on stolarsky and gini means

Argyros, Ioannis K and George, Santhosh and Shobha, Monnanda Erappa (2016) Local convergence of sixth-order newton-like methods based on stolarsky and gini means. Asian Journal of Mathematics and Computer Research, 8 (4). pp. 306-316. ISSN 2395-4213

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Abstract

StolarskyGini means have been used in connection to a sixth order Newtonlike method to compute solutions of nonlinear equations defined on the real line [1,2,3,4]. The local convergence was shown using Taylor expansions and conditions reaching at least until the seventh derivative, although only the first derivative appears in these methods. These hypotheses limit the applicability of the methods. In the present article we show convergence based only on the first derivative. The numerical examples justify the theoretical results

Item Type: Article
Uncontrolled Keywords: Newtonlike method; local convergence; Stolarsky means; Gini means; efficiency index.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 16 Jul 2016 11:41
Last Modified: 16 Jul 2016 11:41
URI: http://eprints.manipal.edu/id/eprint/146629

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