Continuity properties for flat families of polynomials. I: Continuous parametrizations

DOI10.1016/S0022-4049(03)00087-2zbMath1027.13014OpenAlexW2010778425MaRDI QIDQ1408354

Henri Lombardi, Laureano Gonzalez-Vega, Andre Galligo

Publication date: 15 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00087-2

zbMATH Keywords

algorithms for approximate polynomial computationsroots of a univariate polynomial

Mathematics Subject Classification ID

Related Items (2)

Continuity properties for flat families of polynomials. I: Continuous parametrizations ⋮ Semi-implicit representations of surfaces in \(\mathbb P^3\), resultants and applications

Cites Work

• A continuous, constructive solution to Hilbert's \(17^{th}\) problem
• Some continuous Positivstellensätze
• Bounds for the degrees in the Nullstellensatz
• A course in constructive algebra
• A real Nullstellensatz and Positivstellensatz for the semipolynomials over an ordered field
• On the intrinsic complexity of elimination theory
• Certified approximate univariate GCDs
• Smooth parametrizations for several cases of the Positivstellensatz
• Continuity properties for flat families of polynomials. I: Continuous parametrizations
• Constructions in Algebra
• Continous, piecewise-polynomial functions which solve Hilbert's 17th problem.
• Sharp Effective Nullstellensatz
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
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