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Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications

Autor
Amat, S.; Busquier, S.; Grau, A.; Grau, M.
Tipus d'activitat
Article en revista
Revista
Applied mathematics and computation
Data de publicació
2013-04-01
Volum
219
Número
15
Pàgina inicial
7954
Pàgina final
7963
DOI
https://doi.org/10.1016/j.amc.2013.01.047 Obrir en finestra nova
Resum
A generalized k-step iterative application of Newton’s method with frozen derivative is studied and used to solve a system of nonlinear equations. The maximum computational efficiency is computed. A sequence that approximates the order of convergence is generated for the examples, and it numerically confirms the calculation of the order of the method and computational efficiency. This type of method appears in many applications where the authors have heuristically chosen a given number of step...
Paraules clau
Newton’s Method, Frozen Derivatives, Nonlinear Equations, Efficiency, Convergence
Grup de recerca
MMAC - Models Matemàtics aplicats a les ciencies humanes i de la natura

Participants

  • Amat Plata, Sergio  (autor)
  • Busquier, Sonia  (autor)
  • Grau Gotés, Mª Ángela  (autor)
  • Grau Sanchez, Miguel  (autor)