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On Descartes' rule for polynomials with two variations of signs

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Publication:831321
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DOI10.1007/s10986-020-09491-9zbMath1469.26016OpenAlexW3080620809MaRDI QIDQ831321

Hassen Cheriha, Yousra Gati, Vladimir Petrov Kostov

Publication date: 11 May 2021

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-020-09491-9


zbMATH Keywords

sign patternDescartes' rule of signsreal polynomial in one variable


Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)


Related Items

The disconnectedness of certain sets defined after uni-variate polynomials ⋮ Unnamed Item ⋮ Degree 5 polynomials and Descartes' rule of signs



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Some remarks about Descartes' rule of signs
  • Descartes' Rule of Signs: Another Construction
  • Could René Descartes Have Known This?
  • On realizability of sign patterns by real polynomials
  • A non-realization theorem in the context of Descartes' rule of signs
  • Descartes' rule of signs and moduli of roots
  • Polynomials, sign patterns and Descartes' rule of signs
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