期刊论文详细信息
Journal of the Egyptian Mathematical Society | |
On a numerical technique for finding multiple zeros and its dynamic | |
F. Soleymani1  Taher Lotfi2  D.K.R. Babajee3  | |
[1] Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran;Scientific & Academic Research Council, African Network for Policy Research & Advocacy for Sustainability, Mauritius; | |
关键词: Basins of attraction; Fractal; Multiplicity; Numerical solution; Dynamic; | |
DOI : 10.1016/j.joems.2013.03.011 | |
来源: DOAJ |
【 摘 要 】
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.
【 授权许可】
Unknown