Computing border bases

Journal of Pure and Applied Algebra

Volumn 205, Issue 2, 2006, Pages 279-295

  Kehrein, Achim ^a   Kreuzer, Martin ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31744447989     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jpaa.2005.07.006     Document Type: Article

References (12)

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2. W. Bruns J. Herzog Cohen-Macaulay Rings 1993 Cambridge University Press Cambridge
3. 4) J. Pure Appl. Algebra 139 1999 61-88
4. 5) T. Mora (Ed.) Proceedings of the Conference of ISSAC 2002 2002 ACM Press New York 75-83
5. J.C. Faugère P. Gianni D. Lazard T. Mora Efficient computation of zero-dimensional Gröbner bases by change of ordering J. Symbolic Comput. 16 1993 329-344
6. A. Kehrein M. Kreuzer Characterizations of border bases J. Pure Appl. Algebra 196 2005 251-270
7. A. Kehrein M. Kreuzer L. Robbiano An algebraist's view on border bases I. Emiris A. Dickenstein (Eds.) Solving Polynomial Equations, Algorithms and Computation in Mathematics vol. 14 2005 Springer Heidelberg 169-202
8. M. Kreuzer L. Robbiano Computational Commutative Algebra 1 2000 Springer Heidelberg
9. H.M. Möller, Systems of algebraic equations solvedd by means of endomorphisms, in: G. Cohen et al. (Eds.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Proceedings of the Conference of AAECC-10, Lecture Notes in Computer Science, vol. 673, Springer, Heidelberg 1993, pp. 43-46.
10. B. Mourrain. A new criterion for normal form algorithms, in: M. Fossorier, H. Imai, S. Lin, A. Poli (Eds.), Proceedings of the Conference of AAECC-13, Honolulu 1999, Lecture Notes in Computer Science, vol. 1719, Springer, Heidelberg, 1999, pp. 440-443.
11. H.J. Stetter Numerical Polynomial Algebra 2004 SIAM Philadelphia, PA
12. B. Sturmfels, Gröbner Bases and Convex Polytopes, University Lecture Series, vol. 8, American Mathematical Society, Providence, RI, 1996.