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Several New Third-Order Iterative Methods for Solving Nonlinear Equations.
- Source :
-
Acta Applicandae Mathematicae . Mar2010, Vol. 109 Issue 3, p1053-1063. 11p. 1 Chart. - Publication Year :
- 2010
-
Abstract
- In this paper, we present some new third-order iterative methods for finding a simple root α of nonlinear scalar equation f( x)=0 in R. A geometric approach based on the circle of curvature is used to construct the new methods. Analysis of convergence shows that the new methods have third-order convergence, that is, the sequence { x n} generated by each of the presented methods converges to α with the order of convergence three. The efficiency of the methods are tested on several numerical examples. It is observed that our methods can compete with Newton’s method and the classical third-order methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 109
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 48219193
- Full Text :
- https://doi.org/10.1007/s10440-008-9359-3