Complex LU Factorization (Not in Base Package)

Performs the LU factorization of a complex, square matrix A. Details

A is a square, complex matrix.
L is a complex, lower triangular matrix.
U is a complex, upper triangular matrix.
P is a permutation matrix.
error returns any error or warning condition from the VI.

Complex LU Factorization Details

LU factorization factors the square matrix A into two triangular matrices; one is a lower triangular matrix L with ones on the diagonal, and the other is an upper triangular matrix U, so that

PA = LU

where P is a permutation matrix, which consists of the identity matrix with some rows exchanged.

Factorization is the key step for inverting a matrix, computing the determinant of a matrix, and solving a linear equation.