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NAME

       zgetrf.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zgetrf (M, N, A, LDA, IPIV, INFO)
           ZGETRF VARIANT: Crout Level 3 BLAS version of the algorithm.

Function/Subroutine Documentation

   subroutine zgetrf (integer M, integer N, complex*16, dimension( lda, * ) A, integer LDA,
       integer, dimension( * ) IPIV, integer INFO)
       ZGETRF VARIANT: Crout Level 3 BLAS version of the algorithm. 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 Crout Level 3 BLAS version of the algorithm.

       Parameters:
           M

                     M is INTEGER
                     The number of rows of the matrix A.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix A.  N >= 0.

           A

                     A is 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

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

           IPIV

                     IPIV is 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

                     INFO is 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.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           November 2011

Author

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