Geodesic
Individual and simultaneous determination of the zeros of algebraic polynomials
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 9, pp. 1407-1410 
L. Atanassova; I. V. Makrelov. Individual and simultaneous determination of the zeros of algebraic polynomials. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 9, pp. 1407-1410. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_9_a13/
@article{ZVMMF_1991_31_9_a13,
     author = {L. Atanassova and I. V. Makrelov},
     title = {Individual and simultaneous determination of the zeros of algebraic polynomials},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1407--1410},
     year = {1991},
     volume = {31},
     number = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_9_a13/}
}
TY  - JOUR
AU  - L. Atanassova
AU  - I. V. Makrelov
TI  - Individual and simultaneous determination of the zeros of algebraic polynomials
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1991
SP  - 1407
EP  - 1410
VL  - 31
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_9_a13/
LA  - en
ID  - ZVMMF_1991_31_9_a13
ER  - 
%0 Journal Article
%A L. Atanassova
%A I. V. Makrelov
%T Individual and simultaneous determination of the zeros of algebraic polynomials
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1991
%P 1407-1410
%V 31
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_9_a13/
%G en
%F ZVMMF_1991_31_9_a13

Voir la notice de l'article provenant de la source Math-Net.Ru

A direct way is proposed for obtaining iterative methods for simultaneous finding the zeros of algebraic polynomials by use classical methods for individually iterating the roots of nonlinear equations.

[1] Wynn P., “On a cubically convergent process for determining the zeros of certain function”, Math. Tables and other Hids. Comput., 10:54 (1956), 97–100 | MR | Zbl

[2] Obreshkov H., Vissha algebra, Nauka i izkustvo, Sofiya, 1956

[3] Heinz J., “Polynom — Nullstellen mit dem Rechnenstab”, Prax. Math., 5:4 (1963), 97–99 | MR

[4] Sendov B., Popov V., Chisleni metodi, Nauka i izkustvo, Sofiya, 1978

[5] Ehrlich L. W., “A modified Newton method for polynomials”, Communs ACM, 1967, no. 1, 107–113 | DOI

[6] Makrelov I. V., “Ob odnovremennom nakhozhdenii kornei polinomialnykh uravnenii”, Dokl. BAN, 43:7 (1990), 23–25 | MR | Zbl