CXML
        	    
LAPACK version 3.0
sormr2(3)

PURPOSE
  SORMR2 - overwrite the general real m by n matrix C with  Q * C if SIDE =
  'L' and TRANS = 'N', or  Q'* C if SIDE = 'L' and TRANS = 'T', or  C * Q if
  SIDE = 'R' and TRANS = 'N', or  C * Q' if SIDE = 'R' and TRANS = 'T',

SYNTAX
  SUBROUTINE SORMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )

      CHARACTER	     SIDE, TRANS

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

      REAL	     A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

DESCRIPTION
  SORMR2 overwrites the general real m by n matrix C with Q * C if SIDE = 'L'
  and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'T', or C * Q if SIDE =
  'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = '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 SGERQF. 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' from the Left
	  = 'R': apply Q or Q' from the Right

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

  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) REAL array, dimension
	  (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must
	  contain the vector which defines the elementary reflector H(i), for
	  i = 1,2,...,k, as returned by SGERQF in the last k rows 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. LDA >= max(1,K).

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

  C	  (input/output) REAL array, dimension (LDC,N)
	  On entry, the m by n matrix C.  On exit, C is overwritten by Q*C or
	  Q'*C or C*Q' or C*Q.

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

  WORK	  (workspace) REAL array, dimension
	  (N) if SIDE = 'L', (M) if SIDE = 'R'

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