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Matrix Crout Factorisation

Calculate the Crout or Cholesky LU factorisation of a square (n x n) matrix A.

Enter each matrix row as a comma separated list, with a new line for each row. Matrices must have an equal number of elements in each row.

The Crout LU factorisation is calculated so that

`L · U = A `

where :

L is a lower diagonal matrix
U is an upper diagonal matrix.

The L and U matrixes are combined into a single matrix. The U matrix has ones on the diagonal (not shown). The determinant is the product of the elements in the diagonal.

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CALCULATOR : Matrix Crout Factorisation [FREE]   ±

Calculate the matrix Crout or Cholesky LU factorisation for matrix A.

Enter the matrix as comma or tab separated rows, or copy and paste cells from a spreadsheet.

The Crout LU factorisation is calculated so that

`L · U = A `

where :

L is a lower diagonal matrix
U is an upper diagonal matrix.

The Crout Cholesky factorisation can be calculated for either the matrix, or of the transpose of the matrix. The number of rows in the matrix must be equal to the number of columns. Check that the check matrix is equal to the original matrix. The L and U matrixes are combined into a single matrix. The U matrix has ones on the diagonal (not shown).

Tool Input

  • rndtype : Rounding Type For Small Values
  • matype : Input Matrix Type
  • A : Input Matrix

Tool Output

  • |A| : Matrix Determinant (!= 0)

CALCULATOR : Matrix Crout Factorisation (File Data - Modern Browser Required) [FREE]   ±

Calculate the matrix Crout or Cholesky LU factorisation for matrix A from file data.

The Crout LU factorisation is calculated so that

`L · U = A `

where :

L is a lower diagonal matrix
U is an upper diagonal matrix.

The Crout Cholesky factorisation can be calculated for either the matrix, or of the transpose of the matrix. The number of rows in the matrix must be equal to the number of columns. Check that the check matrix is equal to the original matrix. The L and U matrixes are combined into a single matrix. The U matrix has ones on the diagonal (not shown).

Save the matrix to a text file as tab or comma separated rows with each row on a new line (or copy and past cells from a spreadsheet). Refer to the example text file in resources.

Tool Input

  • rndtype : Rounding Type For Small Values
  • matype : Input Matrix Type
  • A : Input Matrix

Tool Output

  • |A| : Matrix Determinant (!= 0)