New Mono- and Biaccelerator Iterative Methods with Memory for Nonlinear Equations

Acceleration of convergence is discussed for some families of iterative methods in order to solve scalar nonlinear equations. In fact, we construct mono- and biparametric methods with memory and study their orders. It is shown that the convergence orders 12 and 14 can be attained using only 4 functi...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.708-715-1174
Main Authors: Assari, P., Shateyi, Stanford, Soleymani, Fazlollah, Lotfi, Taher, Haghani, F. Khaksar
Format: Article
Language:English
Subjects:
Accuracy
Analysis
Applied mathematics
Approximation
Computational mathematics
Efficiency
Iterative methods
Iterative methods (Mathematics)
Mathematics
Methods
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Summary:Acceleration of convergence is discussed for some families of iterative methods in order to solve scalar nonlinear equations. In fact, we construct mono- and biparametric methods with memory and study their orders. It is shown that the convergence orders 12 and 14 can be attained using only 4 functional evaluations, which provides high computational efficiency indices. Some illustrations will also be given to reverify the theoretical discussions.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/705674