Jean-Charles Faugère and Chenqi Mou.
Fast algorithm for change of ordering of zero-dimensional gröbner
bases with sparse multiplication matrices.
In Proceedings of the 36th international symposium on Symbolic
and algebraic computation, ISSAC ’11, pages 115–122. ACM,
2011.
W. Boege, R. Gebauer and H. Kredel (1986), Some examples for solving systems of algebraic
equations by calculating Groebner bases, J. Symbolic Comput. 2, 83–98.
B. Char, K. Geddes, G. Gonnet, B. Leong, M. Monogan, and S. Watt (1991), Maple V Library
Reference Manual, Springer-Verlag, New York-Berlin-Heidelberg.
J. Faug`ere, P. Gianni, D. Lazard, and T. Mora (1993), Efficient change of ordering for Gr¨obner
bases of zero-dimensional ideals, J. Symbolic Comput. 16, 329–344.
F. Macaulay (1902), On some formula in elimination, Proc. London Math. Soc. 3, 3–27.
H. M. M¨oller and F. Mora (1984), Upper and lower bounds for the degree of Groebner bases, in
EUROSAM 1984, edited by J. Fitch, Lecture Notes in Computer Science 174, Springer-Verlag,
New York-Berlin-Heidelberg, 172–183.
ولكم جزيل الشكر
Fast algorithm for change of ordering of zero-dimensional gröbner
bases with sparse multiplication matrices.
In Proceedings of the 36th international symposium on Symbolic
and algebraic computation, ISSAC ’11, pages 115–122. ACM,
2011.
W. Boege, R. Gebauer and H. Kredel (1986), Some examples for solving systems of algebraic
equations by calculating Groebner bases, J. Symbolic Comput. 2, 83–98.
B. Char, K. Geddes, G. Gonnet, B. Leong, M. Monogan, and S. Watt (1991), Maple V Library
Reference Manual, Springer-Verlag, New York-Berlin-Heidelberg.
J. Faug`ere, P. Gianni, D. Lazard, and T. Mora (1993), Efficient change of ordering for Gr¨obner
bases of zero-dimensional ideals, J. Symbolic Comput. 16, 329–344.
F. Macaulay (1902), On some formula in elimination, Proc. London Math. Soc. 3, 3–27.
H. M. M¨oller and F. Mora (1984), Upper and lower bounds for the degree of Groebner bases, in
EUROSAM 1984, edited by J. Fitch, Lecture Notes in Computer Science 174, Springer-Verlag,
New York-Berlin-Heidelberg, 172–183.
ولكم جزيل الشكر
