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Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior.
- Source :
- Calcolo; Mar2014, Vol. 51 Issue 1, p17-30, 14p
- Publication Year :
- 2014
-
Abstract
- In this paper, we present a family of optimal, in the sense of Kung-Traub's conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun's fourth-order method. We use the Ostrowski's efficiency index and several numerical tests in order to compare the new methods with other known eighth-order ones. We also extend this comparison to the dynamical study of the different methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00080624
- Volume :
- 51
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Calcolo
- Publication Type :
- Academic Journal
- Accession number :
- 94725241
- Full Text :
- https://doi.org/10.1007/s10092-012-0073-1