Generalized Budan--Fourier theorem and virtual roots

DOI10.1016/j.jco.2004.11.003zbMath1106.12001OpenAlexW2027460976MaRDI QIDQ2387416

Tomás Lajous-Loaeza, Michel Coste, Marie-Françoise Roy, Henri Lombardi

Publication date: 2 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.jco.2004.11.003

zbMATH Keywords

Real rootsBudan-Fourier ruleFewnomialsVirtual roots

Mathematics Subject Classification ID

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

Related Items (6)

Positive root isolation for poly-powers by exclusion and differentiation ⋮ On the zeros of univariate E-polynomials ⋮ Cylindrical decomposition for systems transcendental in the first variable ⋮ Deciding polynomial-transcendental problems ⋮ Théories géométriques pour l’algèbre des nombres réels ⋮ An algebraic certificate for Budan's theorem

Cites Work

• Virtual roots of real polynomials

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