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On the implementation of a new algorithm for the computation of hyperelliptic integrals
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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: 211 - 215  
Year of Publication: 1994
ISBN:0-89791-638-7
Author
Laurent Bertrand  Université de Limoges, Laboratoire d'Arithmétique, Calcul Formel et Optimisation, 123 Avenue Albert THOMAS, 87060 LIMOGES CEDEX
Sponsor
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 1,   Downloads (12 Months): 9,   Citation Count: 1
Additional Information:

references   cited by   index terms  

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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
L. BERTRAND: Computing a Hyperelliptic Integral using Arithmetic in the Jacobian of the Curve, submitted to A.A.E.C.C.
 
2
D. G. CANTOR: Computing in the Jacobian of an Hyperelliptic Curve, Math. of Comp. Vol. 48, N~ 177, pp. 95-101, (1987).
 
3
C. CHEVALLEY: Introduction to the Theory of Algebraic Functions of one Variable, A.M.S. Surveys VI, (1951).
 
4
James H. Davenport, Integration of algebraic functions, Proceedings of the International Symposiumon on Symbolic and Algebraic Computation, p.415-425, June 01, 1979
 
5
L.GONZALEZ-VEGA, H.LOMBARDI, T.RECIO, M.- F. ROY: Sp~cialisation de la Suite de Sturm et Sous- R~sultants, Informatique th~orique et Applications. vol. 24, N~ 6, 1990, p. 561-588.
 
6
J. LIOUVILLE: Premier M~moire sur la D~termination des Int~grales dont la Valeur est Algebrique, Journal de l'Ecole Polytechnique Vol. 22, pp. 124-148 (1833).
 
7
R.H. RISCH: The Solution of the Problem of Integration in Finite Terms, Bulletin A.M.S. Vol.76 pp. 605- 608 (1970).
 
8
B. M. TRAGER: Algorithms for Manipulating Algebraic Functions, S.M. thesis M.I.T. (1976).
 
9
B. M. TRAGER: Integration of Algebraic Functions, Ph.D. thesis, Dpt. of EECS, M.I.T. (1984).

CITED BY
Mark van Hoeij, An algorithm for computing the Weierstrass normal form, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.90-95, July 10-12, 1995, Montreal, Quebec, Canada

INDEX TERMS

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

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

  I. Computing Methodologies
  I.1 SYMBOLIC AND ALGEBRAIC MANIPULATION
      I.1.3 Languages and Systems

          Nouns: Maple


General Terms:
Algorithms, Theory


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