An efficient Newton-type method with fifth-order convergence for solving nonlinear equations
- Resource Type
- article
- Authors
- Fang, Liang; Sun, Li; He, Guoping
- Source
- Computational & Applied Mathematics. January 2008 27(3)
- Subject
- Newton's method
iterative method
nonlinear equations
order of convergence
- Language
- English
- ISSN
- 1807-0302
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 4√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.