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An efficient Newton-type method with fifth-order convergence for solving nonlinear equations.
- Source :
- Computational & Applied Mathematics; 2008, Vol. 27 Issue 3, p269-274, 6p, 3 Charts
- Publication Year :
- 2008
-
Abstract
- In this paper, we present an efficient Newton-like method with fifth-order convergence for nonlinear equations. The algorithm is free from second derivative and it requires four evaluations of the given function and its first derivative at each iteration. As a consequence, its efficiency index is equal to <superscript>4</superscript> √5 which is better than that of Newton's method √2. Several examples demonstrate that the presented algorithm is more efficient and performs better than Newton's method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01018205
- Volume :
- 27
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 35693862
- Full Text :
- https://doi.org/10.1590/S0101-82052008000300003