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International Congress on Mathematical Software

ICMS 2006: Mathematical Software - ICMS 2006 pp 205–215Cite as

The Design of CoCoALib

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4151))

Abstract

We describe some of the more important aspects of the design of CoCoALib, a new C++ library for effecting Computations in Commutative Algebra. Special effort has been invested in making the code clean and portable while not neglecting run-time performance; one of the primary goals is to offer freely available reference implementations of the most important algorithms in the field.

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References

  1. Traverso, C., Zanoni, A.: Numerical Stability and Stabilization of Groebner Basis Computation. In: Proc. ISSAC 2002, pp. 262–269 (2002)

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  2. Robbiano, L., Kreuzer, M.: Computational Commutative Algebra, vol. (1, 2). Springer, Heidelberg (2005)

    MATH  Google Scholar 

  3. The CoCoA Team: The CoCoA Project (includes both CoCoALib and the ÓoldÓ CoCoA-4.6) Principal web site is, http://cocoa.dima.unige.it/

  4. Grayson, D., Stillman, M.: Macaulay 2 Computer Algebra System Principal web site is, http://www.math.uiuc.edu/Macaulay2/

  5. Greuel, G.-M., Pfister, G., Schonemann, H.: Singular Computer Algebra System Principal web site is, http://www.singular.uni-kl.de/

  6. The Free Software Foundation: GNU General Public License Main web site is, http://www.gnu.org/licenses/licenses.html

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, Italy

    J. Abbott

Authors
  1. J. Abbott
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain

    Andrés Iglesias

  2. Faculty of Science Department of Mathematics, Kobe University, 1-1, Rokkodai, Nada-ku, 657-8501, Kobe, Japan

    Nobuki Takayama

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Abbott, J. (2006). The Design of CoCoALib. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_18

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  • DOI: https://doi.org/10.1007/11832225_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38084-9

  • Online ISBN: 978-3-540-38086-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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