Generalized Resultants over Unirational Algebraic Varieties
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Tài liệu tham khảo
Becker, 1996, Multivariate Bezoutians, Kronecker symbol and Eisenbud–Levin formula, 79
Bézout, 1764, Recherches sur les degrés des équations résultantes de l’évanouissement des inconnues et sur les moyens qu’il convient d’employer pour trouver ces équations, Hist. Acad. R. Sci., 288
D. Bondyfalat, B. Mourrain, V. Pan, Proceedings of ISSAC, Gloor, O. 1998, ACM Press, New York, 252, 259
J. Canny, I. Emiris, Proceedings of International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correction Codes, Puerto Rico, Cohen, G.Mora, T.Moreno, O. 1993, Springer-Verlag, 89, 104
J. Cardinal, B. Mourrain, Proceedings of the AMS-SIAM Summer Seminar on Mathematics of Numerical Analysis, Park City, Utah, 1995, Renegar, J.Shub, M.Smale, S. 1996, American Mathematical Society Press, Providence, RI, 189, 210
Chardin, 1995, Multivariate subresultants, J. Pure Appl. Algebra., 101, 129, 10.1016/0022-4049(95)90926-C
Chistov, 1986, Algorithm of polynomial complexity for factoring polynomials and finding the components of varieties in subexponential time, J. Sov. Math., 34, 1838, 10.1007/BF01095643
Dixon, 1908, The eliminant of three quantics in two independent variables, Proc. Lond. Math. Soc., 6, 49
Eisenbud, 1994
M. Elkadi, B. Mourrain, 1996
Elkadi, 1999, Algorithms for residues and Lojasiewicz exponents, J. Pure Appl. Algebra
M. Elkadi, B. Mourrain, Proceedings of ISSAC, Dooley, S. 1999b, ACM Press, New York, 9, 16
Gelfand, 1994
Grigoryev, 1986, Factorization of polynomials over finite field and the solution of systems of algebraic equations, J. Sov. Math., 34, 1762, 10.1007/BF01095638
Harris, 1992
D. Kapur, T. Saxena, L. Yang, Proceedings of ISSAC, von zur Gathen, J. 1994, ACM Press, New York, 99, 107
Kunz, 1986
Manocha, 1994, Solving systems of polynomial equations, IEEE Comput. Graph. Appl., Special Issue on Solid Modeling, 46, 10.1109/38.267470
Manocha, 1993, Multipolynomial resultant algorithms, J. Symb. Comput., 15, 99, 10.1006/jsco.1993.1009
Mourrain, 1996, Enumeration problems in geometry, robotics and vision, 285
Mourrain, 1998, Computing isolated polynomial roots by matrix methods, J. Symb. Comput., Special Issue on Symbolic-Numeric Algebra for Polynomials, 26, 715
Pedersen, 1993, Product formulas for resultants and Chow forms, Math. Z., 214, 377, 10.1007/BF02572411
Salmon, 1885
Scheja, 1975, Über Spurfunktionen bei vollständigen Durschnitten, J. Reine Angew Mathematik, 278, 174
Shafarevitch, 1974
Sturmfels, 1993, Sparse elimination theory, 264
Sylvester, 1840, A method of determining by mere inspection the derivatives from two equations of any degree, Philo. Magazine, xvi
Sylvester, 1841, Examples of the dialytic method of elimination as applied to ternary systems of equations, Cambridge Math. J., ii, 232
Van der Waerden, 1948