Obreschkoff's theorem revisited: What convex sets are contained in the set of hyperbolic polynomials?
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Publication:1207527
DOI10.1016/0022-4049(92)90060-SzbMath0772.12002OpenAlexW2038682142MaRDI QIDQ1207527
Publication date: 1 April 1993
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(92)90060-s
convexityexplicit boundreal rootsroot separationhyperbolic polynomialspolygonal pathObreschkoff's theorempolynomials with real coefficients
Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)
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Cites Work
- Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets
- Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix
- Hyperbolic polynomials and Vandermonde mappings
- On the geometric properties of Vandermonde's mapping and on the problem of moments
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