Construction of derivative-free iterative methods from Chebyshev's method
- Ezquerro, J.A. 2
- Grau, A. 1
- Grau-Sánchez, M. 1
- Hernández, M.A. 2
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 0219-5305
Any de publicació: 2013
Volum: 11
Número: 3
Tipus: Article
Altres publicacions en: Analysis and Applications
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Resum
From some modifications of Chebyshev's method, we consider a uniparametric family of iterative methods that are more efficient than Newton's method, and we then construct two iterative methods in a similar way to the Secant method from Newton's method. These iterative methods do not use derivatives in their algorithms and one of them is more efficient than the Secant method, which is the classical method with this feature. © 2013 World Scientific Publishing Company.