Geodesic
Point Estimation and the Convergence of the Ehrlich-aberth Method
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 141 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The choice of starting points that provide a safe convergence of a given iterative method has an important role in solving nonlinear equations. In this paper we consider the Ehrlich-Aberth method for the simultaneous approximation of all simple zeros of a polynomial. For this method we state practically applicable initial conditions depending only on initial approximations, which enable the safe convergence.
Classification : 65H05 
@article{PIM_1997_N_S_62_76_a15,
     author = {Miodrag S. Petkovi\'c and Sne\v{z}ana M. Ili\'c},
     title = {Point {Estimation} and the {Convergence} of the {Ehrlich-aberth} {Method}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {141 },
     publisher = {mathdoc},
     volume = {_N_S_62},
     number = {76},
     year = {1997},
     zbl = {0887.65047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a15/}
}
TY  - JOUR
AU  - Miodrag S. Petković
AU  - Snežana M. Ilić
TI  - Point Estimation and the Convergence of the Ehrlich-aberth Method
JO  - Publications de l'Institut Mathématique
PY  - 1997
SP  - 141 
VL  - _N_S_62
IS  - 76
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a15/
LA  - en
ID  - PIM_1997_N_S_62_76_a15
ER  - 
%0 Journal Article
%A Miodrag S. Petković
%A Snežana M. Ilić
%T Point Estimation and the Convergence of the Ehrlich-aberth Method
%J Publications de l'Institut Mathématique
%D 1997
%P 141 
%V _N_S_62
%N 76
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a15/
%G en
%F PIM_1997_N_S_62_76_a15
Miodrag S. Petković; Snežana M. Ilić. Point Estimation and the Convergence of the Ehrlich-aberth Method. Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 141 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a15/