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DGETRF(l)			       )			     DGETRF(l)

NAME
       DGETRF - compute an LU factorization of a general M-by-N matrix A using
       partial pivoting with row interchanges

SYNOPSIS
       SUBROUTINE DGETRF( M, N, A, LDA, IPIV, INFO )

	   INTEGER	  INFO, LDA, M, N

	   INTEGER	  IPIV( * )

	   DOUBLE	  PRECISION A( LDA, * )

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 diago‐
       nal 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) DOUBLE PRECISION array, dimension (LDA,N)
	       On  entry, the M-by-N matrix to be factored.  On exit, the fac‐
	       tors L and U from the factorization A = P*L*U; the unit	diago‐
	       nal 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 version 3.0		 15 June 2000			     DGETRF(l)
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