CAR Ausgabe 59 (Oktober 2016)

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Normaliz: A package for linear diophantine systems, polyhedra and lattices
(Computeralgebra-Rundbrief: Vol. 59, 2016) Bruns, Winfried
The very first version of Normaliz [5] was meant to compute normalizations of affine monoids (or semi- groups), hence the name. Over the years it has been extended to a powerful package for discrete convex geometry. We explain its main computation goals by a simple example, sketch the mathematical background and discuss the basic steps in the Normaliz primal algorithm. Some remarks on the technical aspects and the history conclude this overview.