Geodesic
The number of roots of a~polynomial outside a~circle
Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 3-12

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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. 
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     author = {G. F. Korsakov},
     title = {The number of roots of a~polynomial outside a~circle},
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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/