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The shape of the Shape Lemma
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the international symposium on Symbolic and algebraic computation table of contents
Oxford, United Kingdom
Pages: 129 - 133  
Year of Publication: 1994
ISBN:0-89791-638-7
Authors
Eberhard Becker  FB Mathematik, Universität Dortmund, 44221 Dortmund
Teo Mora  GAGE, École Polytéchnique DIMA and DISI, Università di Genova, DIMA, Via L.B. Alberti 4, 16132 Genova
Maria Grazia Marinari  DIMA, Università di Genova, Via L.B. Alberti 4, 16132 Geneva
Carlo Traverso  Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56100 Pisa
Sponsor
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 2,   Downloads (12 Months): 19,   Citation Count: 4
Additional Information:

references   cited by   index terms   collaborative colleagues  

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
M.E. Alonso, E. Becker, M. F. Roy, T. WSrmann Zeroes, multiplicities and idempotents for zero-dimensional systems, Proc. MEGA '94, to appear
 
2
T. Becker, V. Weispfenning, Grb'bner bases, Springer (1993)
 
3
P. Gianni , T. Mora, Algebraic solution of systems of polynomial equations using Groebner bases, Proceedings of the 5th international conference, AAECC-5 on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, p.247-257, June 1987, Menorca, Spain
 
4
L. Gonzalez-Vega, A determinantal formula for zerodimensional ideals, Preprint (1991)
 
5
Y.N. Lakshman, On the complexity of computing Griibnet bases for zero-dimensional polynomial ideals, Ph. D. Thesis, RPI, Troy (1990)
 
6
M.F. Roy, A. Szpirglas Sign determination on zerodimensional sets, Proc. MEGA '90, Birkh~user (1991)
 
7
A. Zharkov, Solving zero-dimensional involutive systems, Proc. MEGA '94, to appear

CITED BY  4
Frank Sottile, From enumerative geometry to solving systems of polynomial equations, Computations in algebraic geometry with Macaulay 2, Springer-Verlag, London, 2002
Abdolali Basiri , Jean-Charles Faugère, Changing the ordering of Gröbner bases with LLL: case of two variables, Proceedings of the 2003 international symposium on Symbolic and algebraic computation, p.23-29, August 03-06, 2003, Philadelphia, PA, USA
Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003
Marc Moreno Maza , Yuzhen Xie, Component-level parallelization of triangular decompositions, Proceedings of the 2007 international workshop on Parallel symbolic computation, July 27-28, 2007, London, Ontario, Canada

INDEX TERMS

Primary Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on polynomials

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.2 Nonnumerical Algorithms and Problems
          Subjects: Geometrical problems and computations

  I. Computing Methodologies
  I.1 SYMBOLIC AND ALGEBRAIC MANIPULATION
      I.1.2 Algorithms
          Subjects: Algebraic algorithms


General Terms:
Algorithms, Theory, Verification

Collaborative Colleagues:
Eberhard Becker: colleagues
Teo Mora: colleagues
Maria Grazia Marinari: colleagues
Carlo Traverso: colleagues

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