@article{ITA_1990__24_2_161_0,
author = {Paugam, Annette},
title = {R\'esolution du probl\`eme de l'ellipse et du cercle par l'algorithme de {H\"ormander}},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {161--188},
year = {1990},
publisher = {EDP Sciences},
volume = {24},
number = {2},
mrnumber = {1073532},
zbl = {0701.68055},
language = {fr},
url = {https://www.numdam.org/item/ITA_1990__24_2_161_0/}
}
TY - JOUR AU - Paugam, Annette TI - Résolution du problème de l'ellipse et du cercle par l'algorithme de Hörmander JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 1990 SP - 161 EP - 188 VL - 24 IS - 2 PB - EDP Sciences UR - https://www.numdam.org/item/ITA_1990__24_2_161_0/ LA - fr ID - ITA_1990__24_2_161_0 ER -
%0 Journal Article %A Paugam, Annette %T Résolution du problème de l'ellipse et du cercle par l'algorithme de Hörmander %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 1990 %P 161-188 %V 24 %N 2 %I EDP Sciences %U https://www.numdam.org/item/ITA_1990__24_2_161_0/ %G fr %F ITA_1990__24_2_161_0
Paugam, Annette. Résolution du problème de l'ellipse et du cercle par l'algorithme de Hörmander. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 24 (1990) no. 2, pp. 161-188. https://www.numdam.org/item/ITA_1990__24_2_161_0/
1. , et , Cylindrical Algebraic Decomposition I and II: the Basic Algorithm, Siam J. Comput., vol. 13, n° 4, nov. 84, p.865-889. | MR
2. , Towards Mechanical Solution of Kahan Ellipse Problem I, Computer Algebra, Lectures Notes, 162, Springer-Verlag, 1983. | Zbl | MR
3. , On Mechanical Quantifier Elimination For Elementary. Algebra and Geometry: Solution of a non Trivial Problem, Eurocal 85, Lectures Notes 204, p. 270-271, Springer-Verlag, 1985.
4. et , On Mechanical Quantifier Elimination For Elementary Algebra and Geometry, J. Symbolic Computation, Vol. 5, 1988, p. 237-259. | Zbl | MR
5. et , , Géométrie Algébrique Réelle, Ergebnisse der Mathematik, Springer-Verlag, 1987. | Zbl | MR
6. et , On Euclid's Algorithm and the Theory of Subresultants, J. Assoc. Comput. Math., vol. 18, n° 4, 1971, p. 505-514. | Zbl | MR
7. , Quantifier Elimination for Real Closed Fields: a Guide to the Litterature, Computer Algebra Symbolic and Algebraic Computation, Springer-Verlag, 1982-1983. | Zbl | MR
8. et , Real Zeros of Polynomials, Computer Algebra Symbolic and Algebraic Computation, Springer-Verlag, 1982-1983. | Zbl | MR
9. , The Analysis of Linear Partiel Differential Operators, tome 2, Springer-Verlag, 1983.
10. , Basic Algebra I, San Francisco, Freeman, 1974. | Zbl | MR
11. , « Problem=9: an Ellipse Problem », SIGSAM Bulletin of the Assoc. Comp. Math., vol. 9, 1975, p. 11.
12. , A solution to Kahan's problem (SIGSAM problem n° 9); SIGSAM Bulletin of the Ass. Com. Math., vol. 11, 1977, p. 16-20. | Zbl
13. , Quantifier Elimination: Optimal Solution for 2 Classical Examples, J. Symbolic Computation, vol. 5, 1988, p. 261-266. | Zbl | MR
14. , Generalized Polynomial Remainder Sequences, Computer Algebra Symbolic and Algebraic Commutation, Springer-Verlag, 1982-1983. | Zbl | MR
15. , Computing in Algebraic Extensions, Computer Algebra Symbolic and Algebraic Computation, Springer-Verlag, 1982-1983. | Zbl | MR
16. , Solution au problème de Kahan (non publié).
17. , Comparaison entre 3 algorithmes d'élimination des quantificateurs sur les corps réels clos, Thèse, 1986.
18. , A New Decision Method for Elementary Algebra, Ann. of Math. 60, 1954, p, 365-374. | Zbl | MR
19. , A Decision Method for Elementary Algebra and Geometry, Prepared for publication by J. C. C. MacKinsey, Berkeley, 1951. | Zbl






