A non-realization theorem in the context of Descartes' rule of signs

zbMath1474.26051arXiv1911.12255MaRDI QIDQ4994219

Youstra Gati, Vladimir Petrov Kostov, Hassen Cheriha

Publication date: 17 June 2021

Full work available at URL: https://arxiv.org/abs/1911.12255

zbMATH Keywords

real polynomialssign patternDescartes' rule of signs

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 (6)

The disconnectedness of certain sets defined after uni-variate polynomials ⋮ On Descartes' rule for polynomials with two variations of signs ⋮ Unnamed Item ⋮ Sign patterns and rigid moduli orders ⋮ Degree 5 polynomials and Descartes' rule of signs ⋮ Which sign patterns are canonical?

Cites Work

• Unnamed Item
• Some remarks about Descartes' rule of signs
• Descartes' Rule of Signs: Another Construction
• Could René Descartes Have Known This?
• Descartes' Rule of Signs Revisited
• On realizability of sign patterns by real polynomials
• Polynomials, sign patterns and Descartes' rule of signs

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