O. Kushel

activity

20082026

most citedCirculants and critical points of polynomials

19 citations · 29 across the 17 of their papers we have counts for

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Showing 2015Show all

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math.CA2015★ 19 cited

Circulants and critical points of polynomials

Olga Kushel, Mikhail Tyaglov

We prove that for any circulant matrix $C$ of size $n \times n$ with the monic characteristic polynomial $p (z)$ , the spectrum of its $(n - 1) \times (n - 1)$ submatrix $C_{n - 1}$ construct…

math.CA2015★ 5 cited

Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane

Olga Holtz, Sergey Khrushchev, Olga Kushel

Given a polynomial \[ f(x)=a_0x^n+a_1x^{n-1}+\cdots +a_n \] with positive coefficients $a_{k}$ , and a positive integer $M \leq n$ , we define a(n infinite) generalized Hurwitz matrix $…