DOI
10.9781/ijimai.2015.347
Abstract
We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the fifth derivative. This way the applicability of these methods is extended under weaker hypotheses. Moreover the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study.
Source Publication
International Journal of Interactive Multimedia and Artificial Intelligence
Recommended Citation
Argyros, Ioannis and George, Santhosh
(2015)
"Ball Convergence for Steffensen-type Fourth-order Methods,"
International Journal of Interactive Multimedia and Artificial Intelligence: Vol. 3:
Iss.
4, Article 4.
DOI: 10.9781/ijimai.2015.347
Available at:
https://ijimai.researchcommons.org/ijimai/vol3/iss4/4