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

T. Lotfi, F. Soleymani, S. Shateyi, P. Assari and F. Khaksar Haghani

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:705674

DOI: 10.1155/2014/705674

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