Magma

MAGMA Computational Algebra System

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Algebraic Geometry

Real Algebraic Geometry

14Pxx

[1] Saugata Basu and Michael Kettner. Computing the Betti numbers of arrangements in practice. In Computer Algebra in Scientific Computing, volume 3718 of Lecture Notes in Computer Science, pages 13–31. Springer Berlin/Heidelberg, 2005.
[2] Mbakop Guy Merlin. Eziente Losung reeller Polynomialer Gleichungssysteme. PhD Thesis, Humboldt-Universität, Berlin, 1999.
[3] S. Petitjean. Algebraic geometry and computer vision: Polynomial systems, real and complex roots. J. Math. Imaging Vision, 10(3):191–220, 1999.
[4] Mohab Safey El Din. Testing sign conditions on a multivariate polynomial and applications. Math. Comput. Sci., 1(1):177–207, 2007.
[5] Mohab Safey El Din and Éric Schost. Properness defects of projections and computation of at least one point in each connected component of a real algebraic set. Discrete Comput. Geom., 32(3):417–430, 2004.

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