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

作者：Grau Sanchez Miguel^*; Diaz Barrero Jose L

来源：Applied Mathematics Letters, 2014, 33: 18-22.

DOI：10.1016/j.aml.2014.02.016

• Nonlinear equations
• Iterative methods
• Order of convergence
• Efficiency index
• Traub%26apos
• s result

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.

• 出版日期2014-7