Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627922 | Applied Mathematics and Computation | 2014 | 14 Pages |
Abstract
In this paper, we present convergence results for the Chebyshev-like method for the simultaneous computation of all zeros of a polynomial f over a complete normed field. Our results generalize, improve and complement the result of Petković and Petković (2001) [10]. The new results give weaker sufficient convergence conditions, a priori and a posteriori error estimates as well as information on the location of the zeros. Another important aspect of this work is that we do not assume neither simplicity nor existence of the zeros of f. Furthermore, several numerical examples are provided to show some practical applications of our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Petko D. Proinov, Slav I. Cholakov,