Bareiss algorithm

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.

Comment
enIn 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.
Has abstract
enIn 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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Algorithm
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Bareiss algorithm
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Algorithm
Big O notation
Category:Computer algebra
Category:Determinants
Category:Exchange algorithms
Category:Numerical linear algebra
Computational complexity
Determinant
Division (mathematics)
Echelon form
Erwin Bareiss
Fast multiplication
Gaussian elimination
Hadamard inequality
In-place algorithm
Integer
Leibniz formula for determinants
Matrix (mathematics)
Mexico
Minor (linear algebra)
Real number
Remainder
René Mario Montante Pardo
Round-off error
Toeplitz matrix
Universidad Autónoma de Nuevo León
SameAs
4W6eK
Algorytm Bareissa
Bareiss algorithm
m.047rvt
Método Montante
Q4860404
Алгоритм Барейса
Метод Монтанте
Subject
Category:Computer algebra
Category:Determinants
Category:Exchange algorithms
Category:Numerical linear algebra
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