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version 1.8, 2011/07/22 07:38:17 version 1.9, 2011/11/21 20:43:15
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   *> \brief \b ZLAGTM
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZLAGTM + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlagtm.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlagtm.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlagtm.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA,
   *                          B, LDB )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          TRANS
   *       INTEGER            LDB, LDX, N, NRHS
   *       DOUBLE PRECISION   ALPHA, BETA
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         B( LDB, * ), D( * ), DL( * ), DU( * ),
   *      $                   X( LDX, * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZLAGTM performs a matrix-vector product of the form
   *>
   *>    B := alpha * A * X + beta * B
   *>
   *> where A is a tridiagonal matrix of order N, B and X are N by NRHS
   *> matrices, and alpha and beta are real scalars, each of which may be
   *> 0., 1., or -1.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] TRANS
   *> \verbatim
   *>          TRANS is CHARACTER*1
   *>          Specifies the operation applied to A.
   *>          = 'N':  No transpose, B := alpha * A * X + beta * B
   *>          = 'T':  Transpose,    B := alpha * A**T * X + beta * B
   *>          = 'C':  Conjugate transpose, B := alpha * A**H * X + beta * B
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix A.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in] NRHS
   *> \verbatim
   *>          NRHS is INTEGER
   *>          The number of right hand sides, i.e., the number of columns
   *>          of the matrices X and B.
   *> \endverbatim
   *>
   *> \param[in] ALPHA
   *> \verbatim
   *>          ALPHA is DOUBLE PRECISION
   *>          The scalar alpha.  ALPHA must be 0., 1., or -1.; otherwise,
   *>          it is assumed to be 0.
   *> \endverbatim
   *>
   *> \param[in] DL
   *> \verbatim
   *>          DL is COMPLEX*16 array, dimension (N-1)
   *>          The (n-1) sub-diagonal elements of T.
   *> \endverbatim
   *>
   *> \param[in] D
   *> \verbatim
   *>          D is COMPLEX*16 array, dimension (N)
   *>          The diagonal elements of T.
   *> \endverbatim
   *>
   *> \param[in] DU
   *> \verbatim
   *>          DU is COMPLEX*16 array, dimension (N-1)
   *>          The (n-1) super-diagonal elements of T.
   *> \endverbatim
   *>
   *> \param[in] X
   *> \verbatim
   *>          X is COMPLEX*16 array, dimension (LDX,NRHS)
   *>          The N by NRHS matrix X.
   *> \endverbatim
   *>
   *> \param[in] LDX
   *> \verbatim
   *>          LDX is INTEGER
   *>          The leading dimension of the array X.  LDX >= max(N,1).
   *> \endverbatim
   *>
   *> \param[in] BETA
   *> \verbatim
   *>          BETA is DOUBLE PRECISION
   *>          The scalar beta.  BETA must be 0., 1., or -1.; otherwise,
   *>          it is assumed to be 1.
   *> \endverbatim
   *>
   *> \param[in,out] B
   *> \verbatim
   *>          B is COMPLEX*16 array, dimension (LDB,NRHS)
   *>          On entry, the N by NRHS matrix B.
   *>          On exit, B is overwritten by the matrix expression
   *>          B := alpha * A * X + beta * B.
   *> \endverbatim
   *>
   *> \param[in] LDB
   *> \verbatim
   *>          LDB is INTEGER
   *>          The leading dimension of the array B.  LDB >= max(N,1).
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16OTHERauxiliary
   *
   *  =====================================================================
       SUBROUTINE ZLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA,        SUBROUTINE ZLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA,
      $                   B, LDB )       $                   B, LDB )
 *  *
 *  -- LAPACK auxiliary routine (version 3.3.1) --  *  -- LAPACK auxiliary 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          TRANS        CHARACTER          TRANS
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      $                   X( LDX, * )       $                   X( LDX, * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZLAGTM performs a matrix-vector product of the form  
 *  
 *     B := alpha * A * X + beta * B  
 *  
 *  where A is a tridiagonal matrix of order N, B and X are N by NRHS  
 *  matrices, and alpha and beta are real scalars, each of which may be  
 *  0., 1., or -1.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  TRANS   (input) CHARACTER*1  
 *          Specifies the operation applied to A.  
 *          = 'N':  No transpose, B := alpha * A * X + beta * B  
 *          = 'T':  Transpose,    B := alpha * A**T * X + beta * B  
 *          = 'C':  Conjugate transpose, B := alpha * A**H * X + beta * B  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix A.  N >= 0.  
 *  
 *  NRHS    (input) INTEGER  
 *          The number of right hand sides, i.e., the number of columns  
 *          of the matrices X and B.  
 *  
 *  ALPHA   (input) DOUBLE PRECISION  
 *          The scalar alpha.  ALPHA must be 0., 1., or -1.; otherwise,  
 *          it is assumed to be 0.  
 *  
 *  DL      (input) COMPLEX*16 array, dimension (N-1)  
 *          The (n-1) sub-diagonal elements of T.  
 *  
 *  D       (input) COMPLEX*16 array, dimension (N)  
 *          The diagonal elements of T.  
 *  
 *  DU      (input) COMPLEX*16 array, dimension (N-1)  
 *          The (n-1) super-diagonal elements of T.  
 *  
 *  X       (input) COMPLEX*16 array, dimension (LDX,NRHS)  
 *          The N by NRHS matrix X.  
 *  LDX     (input) INTEGER  
 *          The leading dimension of the array X.  LDX >= max(N,1).  
 *  
 *  BETA    (input) DOUBLE PRECISION  
 *          The scalar beta.  BETA must be 0., 1., or -1.; otherwise,  
 *          it is assumed to be 1.  
 *  
 *  B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)  
 *          On entry, the N by NRHS matrix B.  
 *          On exit, B is overwritten by the matrix expression  
 *          B := alpha * A * X + beta * B.  
 *  
 *  LDB     (input) INTEGER  
 *          The leading dimension of the array B.  LDB >= max(N,1).  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.8  
changed lines
  Added in v.1.9

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