Geodesic
On stable polynomials
Applications of Mathematics, Tome 34 (1989) no. 3, pp. 177-196
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The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
DOI : 10.21136/AM.1989.104347
Classification : 01A60, 12D10, 26C10, 30C15, 34D10, 93D99
Keywords: Hurwitz polynomials; expository paper; Hurwitz-Routh criterion; stable polynomial; Hermite; decompositon of Schur 
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Nekvinda, Miloslav. On stable polynomials. Applications of Mathematics, Tome 34 (1989) no. 3, pp. 177-196. doi: 10.21136/AM.1989.104347

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