Maitre de Conférences UFR d'informatique  Université Pierre et Marie Curie  Laboratoire d'Informatique de Paris 6 Équipe APR

LIP6, bureau 26-00-309  4 place Jussieu, case courrier 169  75252 Paris Cedex 05, France  Tel : 01 44 27 87 60  Fax : 01 44 27 75 41

Philippe.Aubry@lip6.fr

Articles

• Improved parallel multimodular computation by splitting Lagrange resolvents.
Aubry, P., Valibouze, A.
accepté à International Journal of Algebra and Computation (IJAC)
• Real Solution Formulas of Cubic and Quartic Equations Applied to Generate Dynamic Diagrams with Inequality Constraints.
Zhao, T., Wang, D., Hong, H., Aubry, P.
Symposium On Applied Computing - SAC 2012 Proceedings (Riva del Garda, Italy, 26-30 mars 2012)
• Multi-parallel computation of Lagrange resolvents by multi-resolvents
Aubry, P., Valibouze, A.
Parallel Computer Algebra - PARCA 2010 Proceedings (Tambov, Russie, 29 juin-3juillet 2010)
• Algebraic computation of resolvents without extraneaous powers.
Aubry, P., Valibouze, A.
à paraitre dans European Journal of Combinatoric
Version francaise : Calcul algébrique efficace de résolvantes relatives, 2009
• Real solving for positive dimensional systems.
Aubry, P., Rouillier, F., Safey El Din M.
J. of Symbolic Computation, 34(6): 543-560, 2002.
• Reasoning about Surfaces Using Differential Zero and Ideal Decomposition.
Aubry, P., Wang, D.
In: Automated Deduction in Geometry (J. Richter-Gebert and D. Wang, eds.), LNAI 2061,
Springer-Verlag, Berlin Heidelberg: 154-174, 2001.
• Using Galois ideals for computing relative resolvents.
Aubry, P., Valibouze, A.
J. of Symbolic Computation, Special Issue on Algorithmic Galois Theory, 30(6): 635-651, 2000.
• Triangular sets for solving polynomial systems : a comparison of four methods.
Aubry, P., Moreno Maza, M.
J. of Symbolic Computation, Special Issue on Polynomial Elimination, 28(1): 125-154, 1999.
• On the theories of triangular sets.
Aubry, P., Lazard D., Moreno Maza, M.
J. of Symbolic Computation, Special Issue on Polynomial Elimination, 28(1): 105-124, 1999.