SRC/dgetrf.f(3)            Library Functions Manual            SRC/dgetrf.f(3)

NAME
       SRC/dgetrf.f

SYNOPSIS
   Functions/Subroutines
       subroutine dgetrf (m, n, a, lda, ipiv, info)
           DGETRF

Function/Subroutine Documentation
   subroutine dgetrf (integer m, integer n, double precision, dimension( lda,
       * ) a, integer lda, integer, dimension( * ) ipiv, integer info)
       DGETRF

       Purpose:


            DGETRF 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.

       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 DOUBLE PRECISION 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.

       Definition at line 107 of file dgetrf.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/dgetrf.f(3)