Algorithms in Real Algebraic Geometry
Algorithms in Real Algebraic Geometry
Algebraically Closed Fields.- Real Closed Fields.- Semi-Algebraic Sets.- Algebra.- Decomposition of Semi-Algebraic Sets.- Elements of Topology.- Quantitative Semi-algebraic Geometry.- Complexity of Basic Algorithms.- Cauchy Index and Applications.- Real Roots.- Cylindrical Decomposition Algorithm.- Polynomial System Solving.- Existential Theory of the Reals.- Quantifier Elimination.- Computing Roadmaps and Connected Components of Algebraic Sets.- Computing Roadmaps and Connected Components of Semi-algebraic Sets.
- Purdue University West Lafayette United States
- City University of New York United States
- Courant Institute of Mathematical Sciences United States
- Purdue University System United States
- Mathematics Research Institute of Rennes France
geometry, polynomial system solving, roadmaps, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], 68Q25, 68W30, algorithms, semi-agebraic set, 52C45, real root counting, quantifier elimination, 14P10, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], 03C10, complexity, sets
geometry, polynomial system solving, roadmaps, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], 68Q25, 68W30, algorithms, semi-agebraic set, 52C45, real root counting, quantifier elimination, 14P10, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], 03C10, complexity, sets
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