We propose a method with raised speed of convergence for simultaneous extraction of a part of all roots of polynomials. The method is efficient for the polynomials which have well separated real roots. The proof of local convergence is shown and numerical results are given.
Publié le : 2006-02-14
Classification:
total-step method,
single-step procedure,
zeros of polynomials,
local convergence theorem
@article{1150725471,
author = {Iliev, Anton and Kyurkchiev, Nikolay and Fang, Qing},
title = {On a Generalization of the Euler-Chebyshev Method for Simultaneous Extraction of Only a Part of All Roots of Polynomials},
journal = {Japan J. Indust. Appl. Math.},
volume = {23},
number = {1},
year = {2006},
pages = { 63-73},
language = {en},
url = {http://dml.mathdoc.fr/item/1150725471}
}
Iliev, Anton; Kyurkchiev, Nikolay; Fang, Qing. On a Generalization of the Euler-Chebyshev Method for Simultaneous Extraction of Only a Part of All Roots of Polynomials. Japan J. Indust. Appl. Math., Tome 23 (2006) no. 1, pp. 63-73. http://gdmltest.u-ga.fr/item/1150725471/