This article is cited in 2 papers

The number of roots of a polynomial outside a circle

G. F. Korsakov

Kaliningrad State University

Abstract: 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.

UDC: 517

Received: 29.01.1972

 English version: Mathematical Notes, 1973, 13:1, 3–8

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