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Integration of Libnormaliz in CoCoALib and CoCoA 5

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Mathematical Software – ICMS 2014 (ICMS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8592))

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Abstract

libnormaliz is a C++ library for computations with rational cones and affine monoids and CoCoALib/CoCoA-5 offers a general environment for computations in Commutative Algebra. For mutual benefit we have developed a simple and fast interface between the two software libraries.

We present how this integration was designed, and then describe in detail the Normaliz functions we have made available in CoCoALib (and also in CoCoA-5).

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References

  1. Abbott, J., Bigatti, A.M.: CoCoALib: a C++ library for doing Computations in Commutative Algebra, http://cocoa.dima.unige.it/cocoalib

  2. Abbott, J., Bigatti, A.M.: What is new in CoCoA? In: Hong, H., Yap, C. (eds.) ICMS 2014. LNCS, vol. 8592, pp. 352–358. Springer, Heidelberg (2014)

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  3. Abbott, J., Bigatti, A.M., Lagorio, G.: CoCoA-5: a system for doing Computations in Commutative Algebra, http://cocoa.dima.unige.it/cocoalib

  4. Bruns, W., Ichim, B., Römer, T., Söger, C.: Normaliz, http://www.mathematik.uni-osnabrueck.de/normaliz

  5. Bruns, W., Söger, C.: The computation of generalized Ehrhart series in Normaliz. J. Symb. Comput. (to appear), Preprint, arXiv:1211.5178

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  6. Granlund, T.: The GMP development team: GNU MP: The GNU Multiple Precision Arithmetic Library https://gmplib.org

  7. OpenMath Society, http://www.openmath.org

  8. Stein, W.A., et al.: Sage Mathematics Software, http://www.sagemath.org

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Author information

Authors and Affiliations

  1. Univ. degli Studi di Genova, Italy

    John Abbott & Anna Maria Bigatti

  2. Univ. Osnabrück, Germany

    Christof Söger

Authors
  1. John Abbott
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  2. Anna Maria Bigatti
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  3. Christof Söger
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Editor information

Editors and Affiliations

  1. Department of Mathematics, North Carolina State University, Box 8205, 27695, Raleigh, NC, USA

    Hoon Hong

  2. Courant Institute, Dept. of Computer Science, New York Institute, 251 Mercer Street, 10012, New York, NY, USA

    Chee Yap

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© 2014 Springer-Verlag Berlin Heidelberg

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Abbott, J., Bigatti, A.M., Söger, C. (2014). Integration of Libnormaliz in CoCoALib and CoCoA 5. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_97

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  • DOI: https://doi.org/10.1007/978-3-662-44199-2_97

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44198-5

  • Online ISBN: 978-3-662-44199-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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