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RedHat 9 (Linux i386) - man page for sgetrf (redhat section l)

SGETRF(l)					)					SGETRF(l)

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

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

	   INTEGER	  INFO, LDA, M, N

	   INTEGER	  IPIV( * )

	   REAL 	  A( LDA, * )

PURPOSE
       SGETRF 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) REAL 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 version 3.0			   15 June 2000 				SGETRF(l)


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