Title :
The third order mean-based Jarratt-type method for finding simple roots of nonlinear equation
Author :
Nebojša M. Ralević;Dejan Čebić;Ivan Pavkov
Author_Institution :
Faculty of Engineering, University of Novi Sad, Trg Dositeja Obradović
Abstract :
This paper presents a new variant of the third-order iterative scheme for finding a simple root of nonlinear equation. The new scheme is a combination of Jarratt´s method and the mean-based Newton´s method of the third order. It is numerically compared with several relevant mean-based two-step methods, and the test examples agree with the theoretical analysis.
Keywords :
"Newton method","Convergence","Nonlinear equations","Intelligent systems","Informatics","Iterative methods"
Conference_Titel :
Intelligent Systems and Informatics (SISY), 2015 IEEE 13th International Symposium on
DOI :
10.1109/SISY.2015.7325364
