Virtual roots of real polynomials

DOI10.1016/S0022-4049(96)00102-8zbMath0893.12002arXiv1712.01952OpenAlexW2020175124MaRDI QIDQ1380008

Henri Lombardi, Louis Mahé, Laureano Gonzalez-Vega

Publication date: 23 July 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01952

zbMATH Keywords

splinesemi-algebraic setreal polynomialreal rootPierce-Birkhoff conjecturevirtual root

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) Semialgebraic sets and related spaces (14P10) Spline approximation (41A15) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (4)

Generalized Budan--Fourier theorem and virtual roots ⋮ Cylindrical decomposition for systems transcendental in the first variable ⋮ Deciding polynomial-transcendental problems ⋮ Théories géométriques pour l’algèbre des nombres réels

Cites Work

• On the Pierce-Birkhoff conjecture over ordered fields
• On the Pierce-Birkhoff conjecture
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