New Mono- and Biaccelerator Iterative Methods with Memory for Nonlinear Equations. (23rd July 2014)

• Record Type: Journal Article
• Authors: Lotfi, T.; Soleymani, F.; Shateyi, S.; Assari, P.; Haghani, F. Khaksar
• Other Names: Cordero Alicia Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-07-23
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/705674
• Languages: English
• ISSNs: 1085-3375

Abstract

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.