On arrangements of roots for a real hyperbolic polynomial and its derivatives

DOI10.1016/S0007-4497(01)01106-XzbMath0998.12001WikidataQ127202916 ScholiaQ127202916MaRDI QIDQ1599937

Boris Zalmanovich Shapiro, Vladimir Petrov Kostov

Publication date: 19 November 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

hyperbolic polynomials

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (7)

On higher-order discriminants ⋮ Extensions of Rolle's theorem ⋮ Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions ⋮ The Schur-Szegö composition for hyperbolic polynomials ⋮ A property of discriminants ⋮ On root arrangements for hyperbolic polynomial-like functions and their derivatives ⋮ On polynomial-like functions

Cites Work

• Hyperbolic polynomials and Vandermonde mappings
• A theorem on the escape from the space of hyperbolic polynomials
• Generating linear extensions of posets by transpositions
• On the geometric properties of Vandermonde's mapping and on the problem of moments
• Polynomial Root Dragging
• A Note on Hyperbolic Polynomials.
• A combinatorial problem
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