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
Any de publicació: 2018
Volum: 340
Pàgines: 1-10
Tipus: Article
Altres publicacions en: Journal of Computational and Applied Mathematics
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Resum
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.