Article
MSC:
01A60,
12D10,
26C10,
30C15,
34D10,
93D99 | MR 0996895 | Zbl 0703.12001 | DOI: 10.21136/AM.1989.104347
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Keywords:
Hurwitz polynomials; expository paper; Hurwitz-Routh criterion; stable polynomial; Hermite; decompositon of Schur
Hurwitz polynomials; expository paper; Hurwitz-Routh criterion; stable polynomial; Hermite; decompositon of Schur
Summary:
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.
References:
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