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Construction of derivative-free iterative methods from Chebyshev's method

Autor
Ezquerro, J.A.; Grau, A.; Grau, M.; Hernández, M.A.
Tipus d'activitat
Article en revista
Revista
Analysis and applications
Data de publicació
2013-05-01
Volum
11
Número
03
Pàgina inicial
1350009
DOI
https://doi.org/10.1142/S0219530513500097 Obrir en finestra nova
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.
Paraules clau
Divided difference, computational efficiency, efficiency index, iterative method, nonlinear equation, order of convergence, the Secant method
Grup de recerca
MMAC - Models Matemàtics aplicats a les ciencies humanes i de la natura

Participants

  • Ezquerro, José Antonio  (autor)
  • Grau Gotés, Mª Ángela  (autor)
  • Grau Sanchez, Miguel  (autor)
  • Hernández Verón, Miguel Ángel  (autor)