On the Schur--Cohn problem
Matematičeskie zametki, Tome 18 (1975) no. 1, pp. 27-30
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A`new criterion (in terms of determinant inequalities) is obtained for all the roots of a real polynomial to lie inside the unit circle, i.e., a criterion of stability of periodic motions. In contrast to the Schur-Cohn criterion, the number of determinants used by us is by four times smaller.
@article{MZM_1975_18_1_a3,
author = {G. F. Korsakov},
title = {On the {Schur--Cohn} problem},
journal = {Matemati\v{c}eskie zametki},
pages = {27--30},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_1_a3/}
}
G. F. Korsakov. On the Schur--Cohn problem. Matematičeskie zametki, Tome 18 (1975) no. 1, pp. 27-30. http://geodesic.mathdoc.fr/item/MZM_1975_18_1_a3/