Algorithms in Real Algebraic Geometry

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequent...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Basu, Saugata (Autor), Pollack, Richard (Autor), Coste-Roy, Marie-Françoise (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:2nd ed. 2006.
Colección:Algorithms and Computation in Mathematics ; 10
Temas:
Algebraic geometry.
Algorithms.
Computer science-Mathematics.
Algebraic Geometry.
Symbolic and Algebraic Manipulation.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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