Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations

Iliev, Anton. "Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations." Serdica Mathematical Journal 24.3-4 (1998): 215-224. <http://eudml.org/doc/11591>.

@article{Iliev1998,
abstract = {In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.},
author = {Iliev, Anton},
journal = {Serdica Mathematical Journal},
keywords = {Simultaneous Roots Finding; Quaternary Convergence; simultaneous roots finding; quaternary convergence; multiple roots; Ehrlich-Kjurkchiev method; algebraic equations},
language = {eng},
number = {3-4},
pages = {215-224},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations},
url = {http://eudml.org/doc/11591},
volume = {24},
year = {1998},
}

TY - JOUR
AU - Iliev, Anton
TI - Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 3-4
SP - 215
EP - 224
AB - In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
LA - eng
KW - Simultaneous Roots Finding; Quaternary Convergence; simultaneous roots finding; quaternary convergence; multiple roots; Ehrlich-Kjurkchiev method; algebraic equations
UR - http://eudml.org/doc/11591
ER -