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In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and, although not always needed, a permutation matrix (P). It was developed by Prescott Durand Crout. The Crout matrix decomposition algorithm differs slightly from the Doolittle method. Doolittle's method returns a unit lower triangular matrix and an upper triangular matrix, while the Crout method returns a lower triangular matrix and a unit upper triangular matrix. So, if a matrix decomposition of a matrix A is such that: A = LDU

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  • In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and, although not always needed, a permutation matrix (P). It was developed by Prescott Durand Crout. The Crout matrix decomposition algorithm differs slightly from the Doolittle method. Doolittle's method returns a unit lower triangular matrix and an upper triangular matrix, while the Crout method returns a lower triangular matrix and a unit upper triangular matrix. So, if a matrix decomposition of a matrix A is such that: A = LDU being L a unit lower triangular matrix, D a diagonal matrix and U a unit upper triangular matrix, then Doolittle's method produces A = L(DU) and Crout's method produces A = (LD)U. (en)
  • De Crout-decompositie is een algoritme voor de LU-decompositie van een vierkante niet-singuliere matrix in een benedendriehoeksmatrix en een bovendriehoeksmatrix In de matrix zijn de elementen op de hoofddiagonaal gelijk aan 1. De methode is genoemd naar , wiskundige aan het Massachusetts Institute of Technology die ze in 1941 beschreef. (nl)
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  • De Crout-decompositie is een algoritme voor de LU-decompositie van een vierkante niet-singuliere matrix in een benedendriehoeksmatrix en een bovendriehoeksmatrix In de matrix zijn de elementen op de hoofddiagonaal gelijk aan 1. De methode is genoemd naar , wiskundige aan het Massachusetts Institute of Technology die ze in 1941 beschreef. (nl)
  • In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and, although not always needed, a permutation matrix (P). It was developed by Prescott Durand Crout. The Crout matrix decomposition algorithm differs slightly from the Doolittle method. Doolittle's method returns a unit lower triangular matrix and an upper triangular matrix, while the Crout method returns a lower triangular matrix and a unit upper triangular matrix. So, if a matrix decomposition of a matrix A is such that: A = LDU (en)
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  • Crout matrix decomposition (en)
  • Crout-decompositie (nl)
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