Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3  -  computes  an  LU  factorization  of  a  general M-by-N matrix A using partial
       pivoting with row interchanges

SYNOPSIS

       SUBROUTINE ZGETRF( M, N, A, LDA, IPIV, INFO )

           INTEGER        INFO, LDA, M, N

           INTEGER        IPIV( * )

           COMPLEX*16     A( LDA, * )

PURPOSE

       ZGETRF computes an LU factorization of a general M-by-N matrix A  using  partial  pivoting
       with row interchanges.
        The factorization has the form
           A = P * L * U
        where P is a permutation matrix, L is lower triangular with unit
        diagonal elements (lower trapezoidal if m > n), and U is upper
        triangular (upper trapezoidal if m < n).
        This is the right-looking Level 3 BLAS version of the algorithm.

ARGUMENTS

        M       (input) INTEGER
                The number of rows of the matrix A.  M >= 0.

        N       (input) INTEGER
                The number of columns of the matrix A.  N >= 0.

        A       (input/output) COMPLEX*16 array, dimension (LDA,N)
                On entry, the M-by-N matrix to be factored.
                On exit, the factors L and U from the factorization
                A = P*L*U; the unit diagonal elements of L are not stored.

        LDA     (input) INTEGER
                The leading dimension of the array A.  LDA >= max(1,M).

        IPIV    (output) INTEGER array, dimension (min(M,N))
                The pivot indices; for 1 <= i <= min(M,N), row i of the
                matrix was interchanged with row IPIV(i).

        INFO    (output) INTEGER
                = 0:  successful exit
                < 0:  if INFO = -i, the i-th argument had an illegal value
                > 0:  if INFO = i, U(i,i) is exactly zero. The factorization
                has been completed, but the factor U is exactly
                singular, and division by zero will occur if it is used
                to solve a system of equations.

 LAPACK routine (version 3.2)               April 2011                            ZGETRF(3lapack)