cgetf2 man page on Scientific

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CGETF2(1)		 LAPACK routine (version 3.2)		     CGETF2(1)

NAME
       CGETF2  -  computes  an	LU  factorization of a general m-by-n matrix A
       using partial pivoting with row interchanges

SYNOPSIS
       SUBROUTINE CGETF2( M, N, A, LDA, IPIV, INFO )

	   INTEGER	  INFO, LDA, M, N

	   INTEGER	  IPIV( * )

	   COMPLEX	  A( LDA, * )

PURPOSE
       CGETF2 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 2 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 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 = -k, the k-th argument had an illegal value
	       > 0: if INFO = k, U(k,k) is exactly zero. The factorization has
	       been completed, but the factor U is exactly singular, and divi‐
	       sion by zero will occur if it is used  to  solve	 a  system  of
	       equations.

 LAPACK routine (version 3.2)	 November 2008			     CGETF2(1)
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