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version 1.8, 2011/07/22 07:38:22 version 1.9, 2011/11/21 20:43:24
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   *> \brief \b ZUNMRQ
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZUNMRQ + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zunmrq.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zunmrq.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zunmrq.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZUNMRQ( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
   *                          WORK, LWORK, INFO )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          SIDE, TRANS
   *       INTEGER            INFO, K, LDA, LDC, LWORK, M, N
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZUNMRQ overwrites the general complex M-by-N matrix C with
   *>
   *>                 SIDE = 'L'     SIDE = 'R'
   *> TRANS = 'N':      Q * C          C * Q
   *> TRANS = 'C':      Q**H * C       C * Q**H
   *>
   *> where Q is a complex unitary matrix defined as the product of k
   *> elementary reflectors
   *>
   *>       Q = H(1)**H H(2)**H . . . H(k)**H
   *>
   *> as returned by ZGERQF. Q is of order M if SIDE = 'L' and of order N
   *> if SIDE = 'R'.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] SIDE
   *> \verbatim
   *>          SIDE is CHARACTER*1
   *>          = 'L': apply Q or Q**H from the Left;
   *>          = 'R': apply Q or Q**H from the Right.
   *> \endverbatim
   *>
   *> \param[in] TRANS
   *> \verbatim
   *>          TRANS is CHARACTER*1
   *>          = 'N':  No transpose, apply Q;
   *>          = 'C':  Transpose, apply Q**H.
   *> \endverbatim
   *>
   *> \param[in] M
   *> \verbatim
   *>          M is INTEGER
   *>          The number of rows of the matrix C. M >= 0.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The number of columns of the matrix C. N >= 0.
   *> \endverbatim
   *>
   *> \param[in] K
   *> \verbatim
   *>          K is INTEGER
   *>          The number of elementary reflectors whose product defines
   *>          the matrix Q.
   *>          If SIDE = 'L', M >= K >= 0;
   *>          if SIDE = 'R', N >= K >= 0.
   *> \endverbatim
   *>
   *> \param[in] A
   *> \verbatim
   *>          A is 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
   *>          ZGERQF in the last k rows of its array argument A.
   *>          A is modified by the routine but restored on exit.
   *> \endverbatim
   *>
   *> \param[in] LDA
   *> \verbatim
   *>          LDA is INTEGER
   *>          The leading dimension of the array A. LDA >= max(1,K).
   *> \endverbatim
   *>
   *> \param[in] TAU
   *> \verbatim
   *>          TAU is COMPLEX*16 array, dimension (K)
   *>          TAU(i) must contain the scalar factor of the elementary
   *>          reflector H(i), as returned by ZGERQF.
   *> \endverbatim
   *>
   *> \param[in,out] C
   *> \verbatim
   *>          C is COMPLEX*16 array, dimension (LDC,N)
   *>          On entry, the M-by-N matrix C.
   *>          On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
   *> \endverbatim
   *>
   *> \param[in] LDC
   *> \verbatim
   *>          LDC is INTEGER
   *>          The leading dimension of the array C. LDC >= max(1,M).
   *> \endverbatim
   *>
   *> \param[out] WORK
   *> \verbatim
   *>          WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
   *>          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
   *> \endverbatim
   *>
   *> \param[in] LWORK
   *> \verbatim
   *>          LWORK is 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.
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0:  successful exit
   *>          < 0:  if INFO = -i, the i-th argument had an illegal value
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16OTHERcomputational
   *
   *  =====================================================================
       SUBROUTINE ZUNMRQ( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,        SUBROUTINE ZUNMRQ( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
      $                   WORK, LWORK, INFO )       $                   WORK, LWORK, INFO )
 *  *
 *  -- LAPACK routine (version 3.3.1) --  *  -- LAPACK computational routine (version 3.4.0) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --  *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--  *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 *  -- April 2011                                                      --  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          SIDE, TRANS        CHARACTER          SIDE, TRANS
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       COMPLEX*16         A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )        COMPLEX*16         A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZUNMRQ overwrites the general complex M-by-N matrix C with  
 *  
 *                  SIDE = 'L'     SIDE = 'R'  
 *  TRANS = 'N':      Q * C          C * Q  
 *  TRANS = 'C':      Q**H * C       C * Q**H  
 *  
 *  where Q is a complex unitary matrix defined as the product of k  
 *  elementary reflectors  
 *  
 *        Q = H(1)**H H(2)**H . . . H(k)**H  
 *  
 *  as returned by ZGERQF. 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**H from the Left;  
 *          = 'R': apply Q or Q**H from the Right.  
 *  
 *  TRANS   (input) CHARACTER*1  
 *          = 'N':  No transpose, apply Q;  
 *          = 'C':  Transpose, apply Q**H.  
 *  
 *  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  
 *          ZGERQF 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) COMPLEX*16 array, dimension (K)  
 *          TAU(i) must contain the scalar factor of the elementary  
 *          reflector H(i), as returned by ZGERQF.  
 *  
 *  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**H*C or C*Q**H or C*Q.  
 *  
 *  LDC     (input) INTEGER  
 *          The leading dimension of the array C. LDC >= max(1,M).  
 *  
 *  WORK    (workspace/output) COMPLEX*16 array, dimension (MAX(1,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  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.8  
changed lines
  Added in v.1.9

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