
Macaulay2
 Referenced in 1658 articles
[sw00537]
 coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more...

primdec
 Referenced in 71 articles
[sw10977]
 Singular library for computing the primary decomposition and radical of ideals. primdec.lib...

Binomials.m2
 Referenced in 34 articles
[sw06695]
 package for Macaulay2 to compute primary and other decompositions of binomial ideals. The current implementation...

primdecint.lib
 Referenced in 3 articles
[sw33612]
 SINGULAR Library primdecint.lib: primary decomposition of an ideal in the polynomial ring over the integers ... library for computing the primary decomposition of an ideal in the polynomial ring over ... Pfister, Sadiq, Steidel , ”An Algorithm for primary decomposition in polynomial rings over the integers” , arXiv...

primdecSYCI.lib
 Referenced in 2 articles
[sw32654]
 Primary Decomposition Packages: primdecSYCI.lib is the package file for Singular ... This page provides packages for computing primary ideal decomposition, implementing new algorithms described ... paper: Algorithms for computing a primary ideal decomposition without producing intermediate redundant components...

syci.m2
 Referenced in 2 articles
[sw32655]
 Primary Decomposition Packages: Macaulay2. The package file syci.m2 contains a function sycidec(I), where ... This page provides packages for computing primary ideal decomposition, implementing new algorithms described ... paper: Algorithms for computing a primary ideal decomposition without producing intermediate redundant components...

noro_pd
 Referenced in 2 articles
[sw15528]
 Implementation of a primary decomposition package. We explain the details of the implementation ... primary decomposition package noro_pd.rr which is a part of OpenXM package. It can efficiently ... decompose ideals with many embedded primary components. We also try parallelization of several parts...

BasisDet
 Referenced in 1 article
[sw26265]
 integrandlevel reduction, (2) the primary decomposition of an ideal to classify all inequivalent solutions ... Mathematica package, BasisDet. The primary decomposition part can be readily carried out by algebraic geometry...

Epsilon
 Referenced in 39 articles
[sw00244]
 Maple and Java for polynomial elimination and decomposition with (geometric) applications. It has 8 modules ... unmixed subvarieties, decompose polynomial ideals into primary components, factorize polynomials over algebraic extension fields, solve...

CHFACT
 Referenced in 5 articles
[sw30976]
 implementation of the Cholesky decomposition of George and Liu (1981). It has been used ... Altman and Gondzio (1992a, b). Although primary aim of developing CHFACT was to include...

CharSets
 Referenced in 3 articles
[sw13623]
 computing characteristic sets and various zero decompositions of polynomial systems and other related polynomial calculations ... into irreducible components, decomposing polynomial ideals into primary components, solving systems of polynomial equations ... differential characteristic sets and the corresponding zero decompositions for systems of ordinary differential polynomials. Some...

IBRENA
 Referenced in 1 article
[sw30481]
 coupled with principal component analysis, singularvalue decomposition and model reduction. The software features ... plotting of in silico results. While the primary focus is to aid formulation, testing...

CASA
 Referenced in 95 articles
[sw00108]
 CASA is a specialpurpose system for computational...

CoCoA
 Referenced in 621 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...

CoCoALib
 Referenced in 55 articles
[sw00144]
 CoCoALib: A C++ library for computations in commutative...

FGb
 Referenced in 240 articles
[sw00286]
 FGb/Gb libraryGb is a program (191 420 lines...

GAP
 Referenced in 2850 articles
[sw00320]
 GAP is a system for computational discrete algebra...

Ginv
 Referenced in 8 articles
[sw00350]
 Specialized computer algebra system GINV. The computer algebra...

HOM4PS
 Referenced in 72 articles
[sw00410]
 HOM4PS2.0: a software package for solving polynomial...

Magma
 Referenced in 2857 articles
[sw00540]
 Computer algebra system (CAS). Magma is a large...