Computes a permutation of a lower triangular table in LU decomposition.
LLU(a)
a |
- |
A square matrix. |
A matrix.
x = {{1, 2, 3},
{4, 5, 6},
{7, 8, 10}}
llu(x) = {{0.143, 1.000, 0.000},
{0.571, 0.500, 1.000},
{1.000, 0.000, 0.000}}
The LU decomposition of a square matrix A:
A = llu(A) *^ ulu(A)
also:
A = lu(A, 0, 1) *^ lu(A, 1, 1))
LLU(matrix) is a permutation of a lower triangular matrix that has ones on the diagonal. To compute the non-permuted version of the lower triangular matrix, use:
lu(matrix, 0, 0)
See LU for a further discussion of LU decomposition.