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Buchberger's algorithm

In the theory of multivariate polynomials, Buchberger's algorithm is a method for transforming a given set of polynomials into a Gröbner basis, which is another set of polynomials that have the same common zeros and are more convenient for extracting information on these common zeros. It was introduced by Bruno Buchberger simultaneously with the…

Algorithm, Complexity & Implementations

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Algorithm

Complexity

Implementations

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Buchberger's algorithm

Nodes29
Edges28
Triples15
Avg. degree1.93
Density0.068966
Components1

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Buchberger's algorithm

Top relations

related to External links · 8
Buchberger's algorithm → Buchberger, Buchberger's, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, ScholarpediaWeisstein
related to Complexity · 6
Buchberger's algorithm → Buchberger's, Dubé, Gröbner, Nevertheless, The, This
is a · 1
Buchberger's algorithm → method for transforming a given set of polynomials into a Gröbner basis

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Important terminology

algorithm polynomials basis gröbner buchberger's buchberger common polynomial degree complexity leading sij terms set bases algorithms another special case see

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Buchberger's algorithmis amethod for transforming a given set of polynomials into a Gröbner basis0.90text
Buchberger's algorithmrelated to ComplexityThe0.60section
Buchberger's algorithmrelated to ComplexityBuchberger's0.60section
Buchberger's algorithmrelated to ComplexityNevertheless0.60section
Buchberger's algorithmrelated to ComplexityDubé0.60section
Buchberger's algorithmrelated to ComplexityGröbner0.60section
Buchberger's algorithmrelated to ComplexityThis0.60section
Buchberger's algorithmrelated to External linksBuchberger0.60section
Buchberger's algorithmrelated to External linksEncyclopedia0.60section
Buchberger's algorithmrelated to External linksMathematics0.60section
Buchberger's algorithmrelated to External linksEMS Press0.60section
Buchberger's algorithmrelated to External linksBuchberger's0.60section

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