Registro:
Documento: |
Artículo
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Título: | Subresultants and generic monomial bases |
Autor: | D'Andrea, C.; Jeronimo, G. |
Filiación: | Miller Inst. for Basic Res. in Sci., Department of Mathematics, University of California, Berkeley, CA 94720-3840, United States Departamento de Matemática, Facultad de Ciencias Exactas/Nat., Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina
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Palabras clave: | Determinant of complexes; Monomial bases; Multivariate resultants; Multivariate subresultants |
Año: | 2005
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Volumen: | 39
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Número: | 3-4 SPEC ISS
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Página de inicio: | 259
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Página de fin: | 277
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DOI: |
http://dx.doi.org/10.1016/j.jsc.2004.11.003 |
Título revista: | Journal of Symbolic Computation
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Título revista abreviado: | J. Symb. Comput.
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ISSN: | 07477171
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v39_n3-4SPECISS_p259_DAndrea |
Referencias:
- Bézout, É., Théorie générale des équations algébriques (1779), Ph.D. Pierres, Paris; Bikker, P., Uteshev, A.Yu., On the Bézout construction of the resultant (1999) J. Symbolic Comput., 28 (1-2), pp. 45-88
- Chardin, M., Formules ̀ la Macaulay pour les sous-résultants en plusieurs variables (1994) C. R. Acad. Sci. Paris Sér. I Math., 319 (5), pp. 433-436
- Chardin, M., Sur l'indépendance linéaire de certains monômes modulo des polynômes génériques (1994) C. R. Acad. Sci. Paris Sér. I Math., 319 (10), pp. 1033-1036
- Chardin, M., Multivariate subresultants (1995) J. Pure Appl. Algebra, 101 (2), pp. 129-138
- Cox, D., Little, J., O'Shea, D., Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra (1996) Undergraduate Texts in Mathematics, pp. xiii. , Springer New York, NY
- Cox, D., Little, J., O'Shea, D., Using Algebraic Geometry (1998) Graduate Texts in Mathematics, 185. , Springer-Verlag New York
- Demazure, M., Une définition constructive du résultant (1984) Notes Informelles de Calcul Formel, 2. , prépublication du Centre de Mathématiques de l'École Polytechnique
- Emiris, I.Z., Rege, A., Monomial bases and polynomial system solving (1994) Proceedings of International Symposium on Symbolic and Algebraic Computation, pp. 114-122. , Oxford ACM New York
- Gel'fand, I.M., Kapranov, M.M., Zelevinsky, A.V., Discriminants, resultants, and multidimensional determinants (1994) Mathematics: Theory and Applications, , Birkhäuser Boston, Inc. Boston, MA
- Jouanolou, J.P., Idéaux résultants (1980) Adv. Math., 37 (3), pp. 212-238
- Macaulay, F., Some formulae in elimination (1902) Proc. London Math. Soc. 1, 33, pp. 3-27
- Macaulay, F., (1916) The Algebraic Theory of Modular Systems, , Cambridge University Press
- Pedersen, P., Sturmfels, B., Mixed monomial bases (1996) Progr. Math., 143, pp. 307-316. , Algorithms in Algebraic Geometry and Applications Santander, 1994 Birkhäuser Basel
- Szanto, A., Multivariate subresultants using Jouanolou's resultant matrices (2005) J. Pure Appl. Algebra, , (in press) (preprint)
- van der Waerden, B.L., (1950) Modern Algebra, , 3rd edition New York: F. Ungar Publishing Co
Citas:
---------- APA ----------
D'Andrea, C. & Jeronimo, G.
(2005)
. Subresultants and generic monomial bases. Journal of Symbolic Computation, 39(3-4 SPEC ISS), 259-277.
http://dx.doi.org/10.1016/j.jsc.2004.11.003---------- CHICAGO ----------
D'Andrea, C., Jeronimo, G.
"Subresultants and generic monomial bases"
. Journal of Symbolic Computation 39, no. 3-4 SPEC ISS
(2005) : 259-277.
http://dx.doi.org/10.1016/j.jsc.2004.11.003---------- MLA ----------
D'Andrea, C., Jeronimo, G.
"Subresultants and generic monomial bases"
. Journal of Symbolic Computation, vol. 39, no. 3-4 SPEC ISS, 2005, pp. 259-277.
http://dx.doi.org/10.1016/j.jsc.2004.11.003---------- VANCOUVER ----------
D'Andrea, C., Jeronimo, G. Subresultants and generic monomial bases. J. Symb. Comput. 2005;39(3-4 SPEC ISS):259-277.
http://dx.doi.org/10.1016/j.jsc.2004.11.003