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Recent Developments in Normaliz

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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

The software Normaliz implements algorithms for rational cones and affine monoids. In this note we present recent developments. They include the support for (unbounded) polyhedra and semi-open cones. Furthermore, we report on improved algorithms and parallelization, which allow us to compute significantly larger examples.

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References

  1. Bruns, W., Gubeladze, J.: Polytopes, rings and K-theory. Springer (2009)

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  2. Bruns, W., Ichim, B., Römer, T., Söger, C.: Normaliz. Algorithms for rational cones and affine monoids, http://www.math.uos.de/normaliz

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  4. 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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  5. Köppe, M., Verdoolaege, S.: Computing parametric rational generating functions with a primal Barvinok algorithm. Electr. J. Comb. 15, R16, 1–19 (2008)

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  6. Ohsugi, H.: Normality of cut polytopes of graphs is a minor closed property. Discrete Math. 310, 1160–1166 (2010)

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  7. Söger, C.: Parallel Algorithms for Rational Cones and Affine Monoids. Dissertation thesis (2014), urn:nbn:de:gbv:700-2014042212422

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Author information

Authors and Affiliations

  1. University of Osnabrück, Germany

    Winfried Bruns & Christof Söger

Authors
  1. Winfried Bruns
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  2. 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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Bruns, W., Söger, C. (2014). Recent Developments in Normaliz. 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_99

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  • DOI: https://doi.org/10.1007/978-3-662-44199-2_99

  • 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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