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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.


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