Title :
A new variant of Newton´s method based on power mean
Author :
Nebojsa M. Ralevic;Tibor Lukic
Author_Institution :
Faculty of Engineering, University of Novi Sad, Serbia
Abstract :
In this paper a new variant of Newton´s method based on power mean for solving nonlinear equations is proposed. The convergence properties of proposed method are discussed and it is shown that the order of convergence for simple roots is three. Performance evaluation of the proposed method is given by numerical experiments performed on the relevant nonlinear equations.
Keywords :
"Newton method","Convergence","Nonlinear equations","Iterative methods","Arithmetic","Power engineering and energy","Performance evaluation","Helium"
Conference_Titel :
Intelligent Systems and Informatics, 2009. SISY ´09. 7th International Symposium on
Print_ISBN :
978-1-4244-5348-1
Electronic_ISBN :
1949-0488
DOI :
10.1109/SISY.2009.5291183
