Doolittle’s Method
Doolittle’s Method LU factorization of A when the diagonal elements of lower triangular matrix, L have a unit value.
STEPS
1. Create matrices A, X and B , where A is the augmented matrix, X constitutes the variable vectors and B are the constants
2. Let A = LU, where L is the lower triangular matrix and U is the upper triangular matrix assume that the diagonal entries L is equal to 1
3. Let Ly = B, solve for y’s
4. Let Ux = y, solve for the variable vectors x
STEPS
1. Create matrices A, X and B , where A is the augmented matrix, X constitutes the variable vectors and B are the constants
2. Let A = LU, where L is the lower triangular matrix and U is the upper triangular matrix assume that the diagonal entries L is equal to 1
3. Let Ly = B, solve for y’s
4. Let Ux = y, solve for the variable vectors x