On the local convergence of a third order family of iterative processes

Autor: Hernández Verón, Miguel AngelRomero Alvarez, Natalia

Tipo de documento: Artículo de revista

Revista: Algorithms. ISSN: 1999-4893 . Año: 2015. Número: 4. Volumen: 8. Páginas: 1121-1128.

doi 10.3390/a8041121Texto completo open access 

Referencias:

  • Cordero, A., Hueso, J.L., Martinez, E., Torregrosa, J.R., Efficient high-order methods based on golden ratio for nonlinear systems (2011) Appl. Math. Comput., 217, pp. 4548-4556
  • Ezquerro, J.A., Hernández, M.A., Romero, N., Improving the efficiency index of one-point iterative processes. (2009) J. Comput. Appl. Math., 223, pp. 879-892
  • Grau-Sánchez, M., Diaz-Barrero, J.L., On computational efficiency for multi-precision zero-finding methods (2006) Appl. Math. Comput., 181, pp. 402-412
  • Grau-Sánchez, M., Improvement of the efficiency of some three-step iterative like-Newton methods (2007) Numer. Math., 107, pp. 131-146
  • Ostrowski, A.M., (1996) Solutions of equations and systems of equations., , Academic Press: New York, USA
  • Ezquerro, J.A., Hernández, M.A., An optimization of Chebyshev's method (2009) J. Complex., 25, pp. 343-361
  • Dennis, J.E., Schnabel, R.B., (1996) Numerical methods for unconstrained optimization and nonlinear equations., , SIAM: Philadelphia, PA, USA