Some Generalizations of the Chebyshev Method for Simultaneous Determination of All Roots of Polynomial Equations
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
Iterative methods for the simultaneous determination of all roots of an equation are dis-cussed. The multiplicities of the roots are assumed to be known in advance. The methods are proved to have a cubical rate of convergence. Numerical examples are given.
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Cite
@article{arxiv.math/0104280,
title = {Some Generalizations of the Chebyshev Method for Simultaneous Determination of All Roots of Polynomial Equations},
author = {A. I. Iliev and Kh. I. Semerdzhiev},
journal= {arXiv preprint arXiv:math/0104280},
year = {2025}
}
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8 pages