Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644796 | Applied Numerical Mathematics | 2017 | 9 Pages |
Abstract
In this paper, we provide a local convergence analysis of Newton, Halley and Chebyshev iterative methods considered as methods for simultaneous determination of all multiple zeros of a polynomial f over an arbitrary normed field K. Convergence theorems with a priori and a posteriori error estimates for each of the proposed methods are established. The obtained results for Newton and Chebyshev methods are new even in the case of simple zeros. Three numerical examples are given to compare the convergence properties of the considered methods and to confirm the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Veselina K. Kyncheva, Viktor V. Yotov, Stoil I. Ivanov,