Extending the domain of starting points for Newton's method under conditions on the second derivative
- Argyros, I.K. 2
- Ezquerro, J.A. 1
- Hernández-Verón, M.A. 1
- Magreñán, Á.A. 3
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1
Universidad de La Rioja
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2
Cameron University
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3
Universidad Internacional de La Rioja
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ISSN: 0377-0427
Datum der Publikation: 2018
Ausgabe: 340
Seiten: 1-10
Art: Artikel
Andere Publikationen in: Journal of Computational and Applied Mathematics
Projekte im Zusammenhang
Zusammenfassung
In this paper, we propose a center Lipschitz condition for the second Fréchet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we compare the new result with an older one and see that the former improves the latter. © 2018 Elsevier B.V.