Algorithms in Real Algebraic Geometry

• Main Authors: Basu, Saugata (Author), Pollack, Richard (Author), Roy, Marie-Françoise (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Edition: Second Edition.
• Series: Algorithms and Computation in Mathematics, 10
• Subjects: Mathematics.; Computer science > Mathematics.; Algebraic geometry.; Algorithms.; Algebraic Geometry.; Symbolic and Algebraic Manipulation.

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...