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Bareiss algorithm

In mathematics, the Bareiss algorithm, named after Erwin Bareiss, is an algorithm to calculate the determinant or the echelon form of a matrix with integer entries using only integer arithmetic; any divisions that are performed are guaranteed to be exact (there is no remainder). The method can also be used to compute the determinant of matrices with…

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Algorithm

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Bareiss algorithm

Nodes26
Edges25
Triples12
Avg. degree1.92
Density0.076923
Components1

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Bareiss algorithm

Top relations

related to Analysis · 9
Bareiss algorithm → Bareiss, During, Gaussian, Hadamard, It, Its, L2, Otherwise, This
related to Usage · 3
Bareiss algorithm → Bareiss, On, The Bareiss

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Important terminology

algorithm determinant matrix bareiss entries integer using elimination arithmetic operations used matrices round-off errors input remainder multiplication gaussian complexity division

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SubjectPredicateObjectConfidenceSrc
Bareiss algorithmrelated to AnalysisDuring0.60section
Bareiss algorithmrelated to AnalysisBareiss0.60section
Bareiss algorithmrelated to AnalysisThis0.60section
Bareiss algorithmrelated to AnalysisHadamard0.60section
Bareiss algorithmrelated to AnalysisOtherwise0.60section
Bareiss algorithmrelated to AnalysisGaussian0.60section
Bareiss algorithmrelated to AnalysisIt0.60section
Bareiss algorithmrelated to AnalysisIts0.60section
Bareiss algorithmrelated to AnalysisL20.60section
Bareiss algorithmrelated to UsageThe Bareiss0.60section
Bareiss algorithmrelated to UsageBareiss0.60section
Bareiss algorithmrelated to UsageOn0.60section

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