# LU factorization with complete pivoting (Scripts) 1.0

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## LU factorization with complete pivoting (Scripts) Publisher's description

### To compute the LU factorization under default settings

To compute the LU factorization under default settings:

[L U p q] = lucp(A)

This produces a factorization such that L*U = A(p,q). Vectors p and q permute the rows and columns, respectively.

The pivot tolerance can be controlled:

[L U p q] = lucp(A,tol)

The algorithm will terminate if the absolute value of the pivot is less than tol.

Permutation matrices can be generated:

[L U P Q] = lucp(A,tol,'matrix')
[L U P Q] = lucp(A,tol,'sparse')

The first will generate full permutation matrices P and Q such that L*U = P*A*Q. The second generates sparse P and Q.

If A is sparse, L and U will be sparse. However, no effort is taken to reduce fill in.

This function works on non-square matrices.

#### System Requirements:

MATLAB 7.8 (R2009a)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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