- Referenced in 1734 articles
- Macaulay2 includes core algorithms for computing Gröbner bases and graded or multi-graded free resolutions...
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- SINGULAR is a Computer Algebra system (CAS) for...
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- CoCoA is a system for Computations in Commutative...
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- lines of C++) for computing Grobner bases, implement ”standard” algoritms. FGb (206 052 lines ... algorithms for computing Gröbner bases: actually, from a research point of view, it is mandatory...
- Referenced in 117 articles
- bijection with the marked reduced Gröbner bases of its defining ideal. The software computes ... marked reduced Gröbner bases of an ideal. Their union is a universal Gröbner basis ... useful in the study of Gröbner bases, initial ideals and tropical geometry. The full list ... Appendix B of the manual. For ordinary Gröbner basis computations Gfan is not competitive...
- Referenced in 83 articles
- Singular to noncommutative polynomial rings having PBW bases and their quotients (called G-/GR-algebras, also ... computing left, right and two-sided Gröbner bases. There are many advanced functions, available both...
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- NCAlgebra: Our Non Commutative Algebra Packages run under...
- Referenced in 48 articles
- fast Gröbner-basis computations. We introduce a specialised data structure for Boolean polynomials based ... example, a new useless-pair criterion for Gröbner-basis computations in Boolean rings is introduced ... importance of formal hardware and software verification based on Boolean expressions, which suffer-besides from ... that our preliminary implementation shows that Gröbner-bases on specific data structures can be capable...
- Referenced in 50 articles
- with mixed difference-differential operators), noncommutative Gröbner bases, and solving of coupled linear systems...
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- computing Janet bases and Janet-like Gröbner bases for linear systems of partial differential equations...
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- GRIN: An implementation of Gröbner bases for integer programming. this paper we present a computer...
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- algorithm for computing Gröbner bases achieves a high level of efficiency through the careful analysis...
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- GBNP, A GAP package for Gröbner bases of noncommutative polynomials. The GBNP package provides algorithms...
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- This page describes the most common use of...
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- Buchbergers’s algorithm for computing Gröbner bases in order to avoid intermediate coefficient swell...
- Referenced in 15 articles
- The Java Algebra System (JAS) is an object...
- Referenced in 53 articles
- algorithms are based on those by Buchberger for a Gröbner basis of a polynomial ideal...
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- Computing Groebner Fans of Toric Ideals. The monomial...
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- D.2.4 grobcov_lib: Groebner Cover for parametric ideals...
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- Scrolls. We describe the equations and Gröbner bases of some degenerate K3 surfaces associated ... analyze them inductively. We describe explicit Gröbner bases and syzygies for these objects over...