How to Perform LU Decomposition with Partial Pivoting in Matlab
Date: 2023-04-01 11:33:28
To perform LU decomposition with partial pivoting in Matlab, you can use the lu function with the syntax:
[L,U,P] = lu(A)
where A is the matrix to be decomposed, L is the lower triangular matrix, U is the upper triangular matrix, and P is the permutation matrix.
Here's an example of how to use the lu function:
A = [4, 3, 1; 6, 3, 5; 2, 8, 3];
[L,U,P] = lu(A);
The output of this code will be:
L =
1.0000 0 0
0.3333 1.0000 0
0.6667 0.1333 1.0000
U =
6.0000 3.0000 5.0000
0 7.0000 0.6667
0 0 -0.8000
P =
0 1 0
1 0 0
0 0 1
Note that the output includes the permutation matrix P. If you want to apply the permutation to the original matrix A, you can use P*A to get the permuted matrix.