CXML
        	    
LAPACK version 3.0
dormqr(3)

PURPOSE
  DORMQR - overwrite the general real M-by-N matrix C with  SIDE = 'L' SIDE =
  'R' TRANS = 'N'

SYNTAX
  SUBROUTINE DORMQR( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK,
		     INFO )

      CHARACTER	     SIDE, TRANS

      INTEGER	     INFO, K, LDA, LDC, LWORK, M, N

      DOUBLE	     PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

DESCRIPTION
  DORMQR overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE =
  'R' TRANS = 'N': Q * C C * Q TRANS = 'T':	 Q**T * C	C * Q**T

  where Q is a real orthogonal matrix defined as the product of k elementary
  reflectors

	Q = H(1) H(2) . . . H(k)

  as returned by DGEQRF. Q is of order M if SIDE = 'L' and of order N if SIDE
  = 'R'.

ARGUMENTS
  SIDE	  (input) CHARACTER*1
	  = 'L': apply Q or Q**T from the Left;
	  = 'R': apply Q or Q**T from the Right.

  TRANS	  (input) CHARACTER*1
	  = 'N':  No transpose, apply Q;
	  = 'T':  Transpose, apply Q**T.

  M	  (input) INTEGER
	  The number of rows of the matrix C. M >= 0.

  N	  (input) INTEGER
	  The number of columns of the matrix C. N >= 0.

  K	  (input) INTEGER
	  The number of elementary reflectors whose product defines the
	  matrix Q.  If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0.

  A	  (input) DOUBLE PRECISION array, dimension (LDA,K)
	  The i-th column must contain the vector which defines the
	  elementary reflector H(i), for i = 1,2,...,k, as returned by DGEQRF
	  in the first k columns of its array argument A.  A is modified by
	  the routine but restored on exit.

  LDA	  (input) INTEGER
	  The leading dimension of the array A.	 If SIDE = 'L', LDA >=
	  max(1,M); if SIDE = 'R', LDA >= max(1,N).

  TAU	  (input) DOUBLE PRECISION array, dimension (K)
	  TAU(i) must contain the scalar factor of the elementary reflector
	  H(i), as returned by DGEQRF.

  C	  (input/output) DOUBLE PRECISION array, dimension (LDC,N)
	  On entry, the M-by-N matrix C.  On exit, C is overwritten by Q*C or
	  Q**T*C or C*Q**T or C*Q.

  LDC	  (input) INTEGER
	  The leading dimension of the array C. LDC >= max(1,M).

  WORK	  (workspace/output) DOUBLE PRECISION array, dimension (LWORK)
	  On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

  LWORK	  (input) INTEGER
	  The dimension of the array WORK.  If SIDE = 'L', LWORK >= max(1,N);
	  if SIDE = 'R', LWORK >= max(1,M).  For optimum performance LWORK >=
	  N*NB if SIDE = 'L', and LWORK >= M*NB if SIDE = 'R', where NB is
	  the optimal blocksize.

	  If LWORK = -1, then a workspace query is assumed; the routine only
	  calculates the optimal size of the WORK array, returns this value
	  as the first entry of the WORK array, and no error message related
	  to LWORK is issued by XERBLA.

  INFO	  (output) INTEGER
	  = 0:	successful exit
	  < 0:	if INFO = -i, the i-th argument had an illegal value