Iterated discriminants

DOI10.1016/j.jsc.2008.05.006zbMath1206.13030OpenAlexW2911724704MaRDI QIDQ1030250

Daniel Lazard, Scott McCallum

Publication date: 1 July 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.05.006

zbMATH Keywords

discriminantmultivariate polynomialgeneric pointsingularities of discriminant hypersurface

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polynomials, factorization in commutative rings (13P05)

Related Items

Effective approximation of the solutions of algebraic equations, Multivariate discriminant and iterated resultant, Iterated and mixed discriminants, Detection of special curves via the double resultant, Bifurcation values for a family of planar vector fields of degree five, Validity proof of Lazard's method for CAD construction, Explicit factors of some iterated resultants and discriminants, Cylindrical algebraic decomposition with equational constraints, The Complexity of Cylindrical Algebraic Decomposition with Respect to Polynomial Degree

Cites Work

• Quantifier elimination: Optimal solution for two classical examples
• Factors of iterated resultants and discriminants
• Explicit factors of some iterated resultants and discriminants
• Algorithms in real algebraic geometry
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