
CoCoA
 Referenced in 482 articles
[sw00143]
 Hilbert functions, factorization of polynomials, toric ideals. The capabilities of CoCoA and the flexibility...

GRIN
 Referenced in 23 articles
[sw08940]
 algorithms for computing generatorsof toric ideals. One of them is due to DiBiase and Urbanke...

cisimplicial
 Referenced in 11 articles
[sw10945]
 library for determining if a simplicial toric ideal is a complete intersection with NO NEED ... explicitly a system of generators of such ideal. The procedures are based on two papers ... algorithm for checking whether the toric ideal of an affine monomial curve is a complete ... GarciaMarco: ’Complete intersections in simplicial toric varieties’, Preprint...

TiGERS
 Referenced in 8 articles
[sw12585]
 Computing Groebner Fans of Toric Ideals. The monomial initial ideals of a graded polynomial ideal ... computing the Groebner fan of a toric ideal by enumerating the edge graph ... local change of Groebner bases in toric ideals and the identification of a reverse search ... combinatorial Groebner walk procedure for toric ideals. TiGERS has been used to compute state polytopes...

FourTiTwo
 Referenced in 4 articles
[sw07615]
 monomial localization. Moreover, for specific Laurent toric ideals, the authors give an algorithm for constructing ... Macaulay2 package FourTiTwo. The family of toric ideals studied have applications to algebraic statistics...

cimonom
 Referenced in 3 articles
[sw10946]
 library for determining whether the toric ideal of an affine monomial curve is a complete ... library for determining if the toric ideal of an affine monomial curve is a complete ... explicitly a system of generators of such ideal. It also contains procedures to obtain ... algorithm to check whether the toric ideal of an affine monomial curve is a complete...

symmChainGens
 Referenced in 4 articles
[sw06689]
 setting, the ambient rings for these ideals are polynomial rings which are increasing in (Krull ... generators for a family of Laurent toric ideals involved in applications to algebraic statistics...

toric.lib
 Referenced in 2 articles
[sw10993]
 library for computing standard basis of toric ideals...

GAP
 Referenced in 1691 articles
[sw00320]
 GAP is a system for computational discrete algebra...

Macaulay2
 Referenced in 997 articles
[sw00537]
 Macaulay2 is a software system devoted to supporting...

Magma
 Referenced in 1680 articles
[sw00540]
 Computer algebra system (CAS). Magma is a large...

Maple
 Referenced in 3878 articles
[sw00545]
 The result of over 30 years of cutting...

Mathematica
 Referenced in 3954 articles
[sw00554]
 Almost any workflow involves computing results, and that...

Matlab
 Referenced in 6660 articles
[sw00558]
 MATLAB® is a highlevel language and interactive...

Normaliz
 Referenced in 67 articles
[sw00630]
 Normaliz is a tool for computations in affine...

PHCpack
 Referenced in 143 articles
[sw00705]
 Algorithm 795: PHCpack: A generalpurpose solver for...

polymake
 Referenced in 204 articles
[sw00724]
 polymake is a tool to study the combinatorics...

R
 Referenced in 3146 articles
[sw00771]
 R is a language and environment for statistical...