| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 483614 | Journal of the Egyptian Mathematical Society | 2013 | 8 Pages |
Abstract
An optimal method is developed for approximating the multiple zeros of a nonlinear function, when the multiplicity is known. Analysis of convergence for the proposed technique is studied to reveal the fourth-order convergence. We further investigate the dynamics of such multiple zero finders by using basins of attraction and their corresponding fractals in the complex plane. A fourth-order method will also be presented, when the multiplicity m is not known. Numerical comparisons will be made to support the underlying theory of this paper.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
F. Soleymani, D.K.R. Babajee, Taher Lotfi,