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Descartes' rule of signs is exact!

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Publication:619038
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DOI10.1016/j.jalgebra.2010.08.014zbMath1214.26010OpenAlexW2020406245MaRDI QIDQ619038

Martín Avendano

Publication date: 21 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.08.014


zbMATH Keywords

Descartes' rule of signsroot counting


Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10)


Related Items (5)

On equilibrium properties of the replicator-mutator equation in deterministic and random games ⋮ Time‐discretizations of differentiators: Design of implicit algorithms and comparative analysis ⋮ Quantitative wave-particle duality relations from the density matrix properties ⋮ Unnamed Item ⋮ Unnamed Item



Cites Work

  • The number of roots of a lacunary bivariate polynomial on a line
  • A quantitative Pólya's theorem with zeros
  • Descartes' Rule of Signs: Another Construction
  • Descartes' Rule of Signs Revisited
  • A Simple Proof of Descartes's Rule of Signs
  • An Inductive Proof of Descartes' Rule of Signs
  • A new bound for Pólya's theorem with applications to polynomials positive on polyhedra.


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