CXML
        	    
LAPACK version 3.0
zunml2(3)

PURPOSE
  ZUNML2 - overwrite the general complex m-by-n matrix C with  Q * C if SIDE
  = 'L' and TRANS = 'N', or  Q'* C if SIDE = 'L' and TRANS = 'C', or  C * Q
  if SIDE = 'R' and TRANS = 'N', or  C * Q' if SIDE = 'R' and TRANS = 'C',

SYNTAX
  SUBROUTINE ZUNML2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )

      CHARACTER	     SIDE, TRANS

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

      COMPLEX*16     A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

DESCRIPTION
  ZUNML2 overwrites the general complex m-by-n matrix C with Q * C if SIDE =
  'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if
  SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C', where
  Q is a complex unitary matrix defined as the product of k elementary
  reflectors

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

  as returned by ZGELQF. 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)
	  = 'C': apply Q' (Conjugate 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) COMPLEX*16 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 ZGELQF in the first 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) COMPLEX*16 array, dimension (K)
	  TAU(i) must contain the scalar factor of the elementary reflector
	  H(i), as returned by ZGELQF.

  C	  (input/output) COMPLEX*16 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) COMPLEX*16 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