Registro:

Referencias:

• Aitken, A.C., (1939) Determinants and Matrices, , Oliver and Boyd Edinburgh vii + 135 pp
• Becker, E., Cardinal, J.P., Roy, M.-F., Szafraniec, Z., Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula (1996) Progr. Math., 143, pp. 79-104
• Canny, J.F., Generalised characteristic polynomials (1990) J. Symbolic Comput., 9, pp. 241-250
• Chardin, M., Formules à 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., Multivariate subresultants (1995) J. Pure Appl. Algebra, 101 (2), pp. 129-138
• Cox, D., Little, J., O'Shea, D., Using Algebraic Geometry (1998) Graduate Text in Mathematics, 185. , Springer-Verlag
• Csáki, F.G., Some notes on the inversion of confluent Vandermonde matrices (1975) IEEE Trans. Automat. Control, 20 AC, pp. 154-157
• D'Andrea, C., Krick, T., Szanto, A., Multivariate subresultants in roots (2006) J. Algebra, 302 (1), pp. 16-36
• D'Andrea, C., Krick, T., Szanto, A., Subresultants in multiple roots (extended abstract) Effective Methods in Algebraic Geometry, MEGA'09, , Barcelona
• D'Andrea, C., Hong, H., Krick, T., Szanto, A., An elementary proof of Sylvester's double sums for subresultants (2007) J. Symbolic Comput., 42 (3), pp. 290-297
• D'Andrea, C., Hong, H., Krick, T., Szanto, A., Sylvester's double sums: The general case (2009) J. Symbolic Comput., 44 (9), pp. 1164-1175
• Elkadi, M., Mourrain, B., Introduction à la résolution des systèmes polynomiaux (2007) Mathématiques & Applications, 59. , Springer-Verlag
• González-Vega, L., A subresultant theory for multivariate polynomials (1990) Extracta Math., 5 (3), pp. 150-152
• González-Vega, L., Determinantal formulae for the solution set of zero-dimensional ideals (1991) J. Pure Appl. Algebra, 76 (1), pp. 57-80
• Gröbner, W., (1970) Algebraische Geometrie. 2. Teil: Arithmetische Theorie der Polynomringe, , Bibliographisches Institut Mannheim
• Habicht, W., Zur inhomogenen Eliminationstheorie (1948) Comment. Math. Helv., 21, pp. 79-98
• Hong, H., Subresultants in roots (1999) Technical Report, , Department of Mathematics, North Carolina State University
• Kalman, D., The generalized Vandermonde matrix (1984) Math. Mag., 57 (1), pp. 15-21
• Kreuzer, M., Kunz, E., Traces in strict Frobenius algebras and strict complete intersections (1987) J. Reine Angew. Math., 381, pp. 181-204
• Krick, T., Szanto, A., Sylvester's double sums: An inductive proof of the general case (2012) J. Symbolic Comput., 47, pp. 942-953
• MacAulay, F., Some formulae in elimination (1902) Proc. London Math. Soc., 33 (1), pp. 3-27
• MacAulay, F., (1916) The Algebraic Theory of Modular Systems, , Cambridge University Press
• Marinari, M.G., Mora, T., Möller, H.M., Gröbner duality and multiplicities in polynomial system solving (1995) ISSAC '95: Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, pp. 167-179. , ACM Press New York, NY, USA
• Roy, M.-F., Szpirglas, A., Sylvester double sums and subresultants (2011) J. Symbolic Comput., 46, pp. 385-395
• Spitzbart, A., A generalization of Hermite's interpolation formula (1960) Amer. Math. Monthly, 67, pp. 42-46
• Sylvester, J.J., (1853) On A Theory of Syzygetic Relations of Two Rational Integral Functions, Comprising An Application to the Theory of Sturm's Function and That of the Greatest Agebraical Common Measure, , Trans. Roy. Soc. London Reprinted in: The Collected Mathematical Papers of James Joseph Sylvester, vol. 1, Chelsea Publ., New York, 1973, pp. 429-586

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------