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Statements

Subject Item
dbr:Bareiss_algorithm
rdf:type
dbo:Software
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Bareiss algorithm
rdfs:comment
In mathematics, the Bareiss algorithm, named after , 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 (approximated) real entries, avoiding the introduction of any round-off errors beyond those already present in the input.
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dbc:Determinants dbc:Computer_algebra dbc:Exchange_algorithms dbc:Numerical_linear_algebra
gold:hypernym
dbr:Algorithm
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n10:Bareiss_algorithm?oldid=1071521405&ns=0
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dbr:Row_echelon_form dbc:Computer_algebra dbr:Hadamard's_inequality dbr:Remainder dbr:Algorithm dbr:Round-off_error dbr:René_Mario_Montante_Pardo dbr:Multiplication_algorithm dbr:Minor_(linear_algebra) dbr:Big_O_notation dbr:Toeplitz_matrix dbr:Mexico dbr:Erwin_Bareiss dbr:Matrix_(mathematics) dbr:In-place_algorithm dbc:Determinants dbr:Autonomous_University_of_Nuevo_León dbr:Computational_complexity dbr:Real_number dbr:Leibniz_formula_for_determinants dbc:Exchange_algorithms dbr:Integer dbc:Numerical_linear_algebra dbr:Gaussian_elimination dbr:Determinant dbr:Division_(mathematics)
dbo:abstract
In mathematics, the Bareiss algorithm, named after , 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 (approximated) real entries, avoiding the introduction of any round-off errors beyond those already present in the input.
foaf:isPrimaryTopicOf
n10:Bareiss_algorithm