This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
M.-E. Alonso, E. Becker, M.-F. Roy and T. Wörmann: Zeros, Multiplicities and Idempotents for Zerodimensional Systems. To appear in the proceedings of MEGA-94 to be published by Birkhaüsei in the series Progress in Mathematics (1994).
W. Auzinger and H. J. Stetter: An Elimination Algorithm for the Computation of all Zeros of a System of Multivariate Polynomial Equations. Int. Series in Numerical Mathematics 86, 11–30, Birkhäuser (1988).
E. Becker, M. G. Marinari, T. Mora and C. Traverso: The shape of the Shape Lemma. Proceedings of ISSAC-94, 129–133, ACM Press (1993).
E. Becker and T. Wörmann: On the trace formula for quadratic forms and some applications. Recent Advances in Real Algebraic Geometry and Quadratic Forms. Contemporary Mathematics 155, 271–291, AMS Publications (1993).
J. F. Canny: The complexity of robot motion planning. ACM Doctoral Dissertation Series, MIT Press, Cambridge Mass. (1988).
E. Cattani, A. Dickenstein and B. Sturmfels: Computing Multidimensional Residues. To appear in the book Algorithms in Algebraic Geometry and Applications to be published by Birkhaüser in the series Progress in Mathematics (1994).
J. C. Faugère: Résolution de systèmes d'équations algébriques. Doctoral Thesis, Université Paris 6, February 1994.
P. Gianni and T. Mora: Algebraic solution of polynomial equations using Gröbner bases. Proceedings AAECC-5. Lectures Notes in Computer Science 359, 247–257, Springer-Verlag (1989).
M. Giusti and J. Heintz: La determination des points isoles et de la dimension d'une variete algebrique peut se faire en temps polynomial. To appear in the Proc. of the International Meeting on Computational Commutative Algebra, 1991.
T. Krick and L. M. Pardo: A Computational Method for Diophantine Approximation. To appear in the book Algorithms in Algebraic Geometry and Applications to be published by Birkhaüser in the series Progress in Mathematics (1994).
Y. N. Lakshman and D. Lazard: On the Complexity of Zero-dimensional Algebraic Systems. Effective Methods in Algebraic Geometry. Progress in Mathematics 94, 217–225, Birkhauser (1991).
I. G. Macdonald: Symmetric functions and Hall polynomials. Oxford University Press (1979).
P. Pedersen, M.-F. Roy and A. Szpirglas: Counting Real Zeros in the muitivariate case. Computational Algebraic Geometry, Progress in Mathematics 109, 61–76, Birkhaüser (1993).
F. Rouillier. Doctoral thesis in preparation (1995).
A. K. Tsikh: Multidimensional Residues and Their Applications. Translations of Mathematical Monographs 103, American Mathematical Society (1992).
K. Yokoyama, M. Noro and T. Takeshima: Solutions of Systems of Algebraic Equations and Linear Maps on Residue Class Rings. Journal of Symbolic Computation 14, 399–417 (1992).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
González-Vega, L., Trujillo, G. (1995). Using symmetric functions to describe the solution set of a zero dimensional ideal. In: Cohen, G., Giusti, M., Mora, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1995. Lecture Notes in Computer Science, vol 948. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60114-7_17
Download citation
DOI: https://doi.org/10.1007/3-540-60114-7_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60114-2
Online ISBN: 978-3-540-49440-9
eBook Packages: Springer Book Archive