A class of optimal eighth-order Steffensen-type iterative methods for solving nonlinear equations and their basins of attraction
Numerical Analysis
2014-04-14 v1
Abstract
This article concerned with the issue of solving a nonlinear equation with the help of iterative method where no any derivative evaluation is required per iteration. Therefore, this work contributes to a new class of optimal eighth-order Steffensen-type methods. Theoretical proof has been given to reveal the eighth-order convergence. Numerical comparisons have been carried out to show the effectiveness of contributed scheme.
Keywords
Cite
@article{arxiv.1404.3053,
title = {A class of optimal eighth-order Steffensen-type iterative methods for solving nonlinear equations and their basins of attraction},
author = {Anuradha Singh and J. P. Jaiswal},
journal= {arXiv preprint arXiv:1404.3053},
year = {2014}
}