Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 3-12
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G. F. Korsakov. The number of roots of a polynomial outside a circle. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a0/
@article{MZM_1973_13_1_a0,
author = {G. F. Korsakov},
title = {The number of roots of a~polynomial outside a~circle},
journal = {Matemati\v{c}eskie zametki},
pages = {3--12},
year = {1973},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a0/}
}
TY - JOUR
AU - G. F. Korsakov
TI - The number of roots of a polynomial outside a circle
JO - Matematičeskie zametki
PY - 1973
SP - 3
EP - 12
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a0/
LA - ru
ID - MZM_1973_13_1_a0
ER -
%0 Journal Article
%A G. F. Korsakov
%T The number of roots of a polynomial outside a circle
%J Matematičeskie zametki
%D 1973
%P 3-12
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a0/
%G ru
%F MZM_1973_13_1_a0
We obtain a new criterion in terms of determinant inequalities that all the roots of a real polynomial should lie inside the unit circle, i.e., a criterion for the stability of periodic motions. In comparison with the Shur-Kon criterion, the number of determinants is halved.
