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Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations

Autor
Grau, M.; Diaz-Barrero, J.L.
Tipus d'activitat
Article en revista
Revista
Applied mathematics letters
Data de publicació
2014-07-01
Volum
33
Pàgina inicial
18
Pàgina final
22
DOI
https://doi.org/10.1016/j.aml.2014.02.016 Obrir en finestra nova
Resum
A generalization of two modified iterative schemes for solving nonlinear equations suggested by Traub and Ezquerro et al. is presented. This new technique allows to obtain local order of convergence 2 rho + 2 from rho improving the above mentioned results where have been obtained rho+1 and 2 rho+1 from rho respectively. The efficiency is also improved. New numerical algorithms of third and fourth order are used to check the theoretical result given. They are illustrated with numerical examples. ...
Paraules clau
CONVERGENCE, Efficiency index, FAMILY, Iterative methods, Nonlinear equations, Order of convergence, Traub's result
Grup de recerca
COSDA-UPC - COmpositional and Spatial Data Analysis
MMAC - Models Matemàtics aplicats a les ciencies humanes i de la natura

Participants