Solving parametric polynomial systems
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[1] Fabrice Rouillier. On the Rational Univariate Representation , 2004 .
[2] Dima Grigoriev,et al. Bounds on numers of vectors of multiplicities for polynomials which are easy to compute , 2000, ISSAC.
[3] Dongming Wang,et al. Elimination Methods , 2001, Texts and Monographs in Symbolic Computation.
[4] Heinz Kredel,et al. Gröbner Bases: A Computational Approach to Commutative Algebra , 1993 .
[5] Philippe Trébuchet. Vers une résolution stable et rapide des équations algébriques , 2002 .
[6] V. Weispfenning. Solving Parametric Polynomial Equations And Inequalities By Symbolic Algorithms , 1995 .
[7] Jean Charles Faugère,et al. A new efficient algorithm for computing Gröbner bases without reduction to zero (F5) , 2002, ISSAC '02.
[8] Antonio Montes,et al. Improving the DISPGB algorithm using the discriminant ideal , 2006, J. Symb. Comput..
[9] Patrizia M. Gianni,et al. Gröbner Bases and Primary Decomposition of Polynomial Ideals , 1988, J. Symb. Comput..
[10] Solen Corvez. Etude de systèmes polynomiaux : contributions à la classification d'une famille de manipulateurs et au calcul des intersections de courbes A - splines : par Solen Corvez , 2005 .
[11] David A. Cox,et al. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics) , 2007 .
[12] Volker Weispfenning,et al. Canonical comprehensive Gröbner bases , 2002, ISSAC '02.
[13] Daniel Lazard,et al. Injectivity of real rational mappings: the case of a mixture of two Gaussian laws , 2004, Math. Comput. Simul..
[14] Daniel Lazard. Computing with parameterized varieties , 2006, Algebraic Geometry and Geometric Modeling.
[15] Éric Schost,et al. Polar varieties and computation of one point in each connected component of a smooth real algebraic set , 2003, ISSAC '03.
[16] Volker Weispfenning,et al. Comprehensive Gröbner Bases , 1992, J. Symb. Comput..
[17] George E. Collins,et al. Quantifier elimination for real closed fields by cylindrical algebraic decomposition , 1975 .
[18] D. Eisenbud,et al. Direct methods for primary decomposition , 1992 .
[19] Fabrice Rouillier,et al. Real Solving for Positive Dimensional Systems , 2002, J. Symb. Comput..
[20] Daniel Lazard,et al. ON THE SPECIFICATION FOR SOLVERS OF POLYNOMIAL SYSTEMS , 2001 .
[21] Guillaume Moroz,et al. Complexity of the resolution of parametric systems of polynomial equations and inequations , 2006, ISSAC '06.
[22] J. Risler,et al. Real algebraic and semi-algebraic sets , 1990 .
[23] Marc Moreno Maza,et al. On the Theories of Triangular Sets , 1999, J. Symb. Comput..
[24] Fabrice Rouillier,et al. Solving Zero-Dimensional Systems Through the Rational Univariate Representation , 1999, Applicable Algebra in Engineering, Communication and Computing.
[25] D. Mumford. The red book of varieties and schemes , 1988 .
[26] S. Basu,et al. Algorithms in real algebraic geometry , 2003 .
[27] T. Willmore. Algebraic Geometry , 1973, Nature.
[28] Solen Corvez,et al. Using Computer Algebra Tools to Classify Serial Manipulators , 2002, Automated Deduction in Geometry.
[29] Éric Schost,et al. Properness Defects of Projections and Computation of at Least One Point in Each Connected Component of a Real Algebraic Set , 2004, Discret. Comput. Geom..
[30] D. Mumford. Algebraic Geometry I: Complex Projective Varieties , 1981 .
[31] Patrick Brézillon,et al. Lecture Notes in Artificial Intelligence , 1999 .
[32] Zhenbing Zeng,et al. EQUI-CEVALINE POINTS OF TRIANGLES , 2000 .
[33] 佐藤 洋祐,et al. 特集 Comprehensive Grobner Bases , 2007 .
[34] Éric Schost,et al. Computing Parametric Geometric Resolutions , 2003, Applicable Algebra in Engineering, Communication and Computing.