On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System
Numerical Analysis
2025-10-20 v2 Numerical Analysis
Abstract
New modifications of the methods for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system are elaborated. A cubic convergence of iterations is proved. The method presented is a generalisation of the classical methods of Obreshkoff and Ehrlich for simultaneous seeking of all roots of algebraic equations. Numerical examples are provided.
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Cite
@article{arxiv.math/0104235,
title = {On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System},
author = {A. Iliev and Khr. Semerdzhiev},
journal= {arXiv preprint arXiv:math/0104235},
year = {2025}
}
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4 pages