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version 1.7, 2011/07/22 07:38:03 version 1.8, 2011/11/21 20:37:10
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       SUBROUTINE ZTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)  *> \brief \b ZTRMV
 *     .. Scalar Arguments ..  
       INTEGER INCX,LDA,N  
       CHARACTER DIAG,TRANS,UPLO  
 *     ..  
 *     .. Array Arguments ..  
       DOUBLE COMPLEX A(LDA,*),X(*)  
 *     ..  
 *  *
 *  Purpose  *  =========== DOCUMENTATION ===========
 *  =======  
 *  *
 *  ZTRMV  performs one of the matrix-vector operations  * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
 *  *
 *     x := A*x,   or   x := A**T*x,   or   x := A**H*x,  *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
   * 
   *       .. Scalar Arguments ..
   *       INTEGER INCX,LDA,N
   *       CHARACTER DIAG,TRANS,UPLO
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16 A(LDA,*),X(*)
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZTRMV  performs one of the matrix-vector operations
   *>
   *>    x := A*x,   or   x := A**T*x,   or   x := A**H*x,
   *>
   *> where x is an n element vector and  A is an n by n unit, or non-unit,
   *> upper or lower triangular matrix.
   *> \endverbatim
 *  *
 *  where x is an n element vector and  A is an n by n unit, or non-unit,  *  Arguments:
 *  upper or lower triangular matrix.  
 *  
 *  Arguments  
 *  ==========  *  ==========
 *  *
 *  UPLO   - CHARACTER*1.  *> \param[in] UPLO
 *           On entry, UPLO specifies whether the matrix is an upper or  *> \verbatim
 *           lower triangular matrix as follows:  *>          UPLO is CHARACTER*1
 *  *>           On entry, UPLO specifies whether the matrix is an upper or
 *              UPLO = 'U' or 'u'   A is an upper triangular matrix.  *>           lower triangular matrix as follows:
 *  *>
 *              UPLO = 'L' or 'l'   A is a lower triangular matrix.  *>              UPLO = 'U' or 'u'   A is an upper triangular matrix.
 *  *>
 *           Unchanged on exit.  *>              UPLO = 'L' or 'l'   A is a lower triangular matrix.
 *  *> \endverbatim
 *  TRANS  - CHARACTER*1.  *>
 *           On entry, TRANS specifies the operation to be performed as  *> \param[in] TRANS
 *           follows:  *> \verbatim
 *  *>          TRANS is CHARACTER*1
 *              TRANS = 'N' or 'n'   x := A*x.  *>           On entry, TRANS specifies the operation to be performed as
 *  *>           follows:
 *              TRANS = 'T' or 't'   x := A**T*x.  *>
 *  *>              TRANS = 'N' or 'n'   x := A*x.
 *              TRANS = 'C' or 'c'   x := A**H*x.  *>
 *  *>              TRANS = 'T' or 't'   x := A**T*x.
 *           Unchanged on exit.  *>
 *  *>              TRANS = 'C' or 'c'   x := A**H*x.
 *  DIAG   - CHARACTER*1.  *> \endverbatim
 *           On entry, DIAG specifies whether or not A is unit  *>
 *           triangular as follows:  *> \param[in] DIAG
 *  *> \verbatim
 *              DIAG = 'U' or 'u'   A is assumed to be unit triangular.  *>          DIAG is CHARACTER*1
 *  *>           On entry, DIAG specifies whether or not A is unit
 *              DIAG = 'N' or 'n'   A is not assumed to be unit  *>           triangular as follows:
 *                                  triangular.  *>
 *  *>              DIAG = 'U' or 'u'   A is assumed to be unit triangular.
 *           Unchanged on exit.  *>
 *  *>              DIAG = 'N' or 'n'   A is not assumed to be unit
 *  N      - INTEGER.  *>                                  triangular.
 *           On entry, N specifies the order of the matrix A.  *> \endverbatim
 *           N must be at least zero.  *>
 *           Unchanged on exit.  *> \param[in] N
 *  *> \verbatim
 *  A      - COMPLEX*16       array of DIMENSION ( LDA, n ).  *>          N is INTEGER
 *           Before entry with  UPLO = 'U' or 'u', the leading n by n  *>           On entry, N specifies the order of the matrix A.
 *           upper triangular part of the array A must contain the upper  *>           N must be at least zero.
 *           triangular matrix and the strictly lower triangular part of  *> \endverbatim
 *           A is not referenced.  *>
 *           Before entry with UPLO = 'L' or 'l', the leading n by n  *> \param[in] A
 *           lower triangular part of the array A must contain the lower  *> \verbatim
 *           triangular matrix and the strictly upper triangular part of  *>          A is COMPLEX*16 array of DIMENSION ( LDA, n ).
 *           A is not referenced.  *>           Before entry with  UPLO = 'U' or 'u', the leading n by n
 *           Note that when  DIAG = 'U' or 'u', the diagonal elements of  *>           upper triangular part of the array A must contain the upper
 *           A are not referenced either, but are assumed to be unity.  *>           triangular matrix and the strictly lower triangular part of
 *           Unchanged on exit.  *>           A is not referenced.
 *  *>           Before entry with UPLO = 'L' or 'l', the leading n by n
 *  LDA    - INTEGER.  *>           lower triangular part of the array A must contain the lower
 *           On entry, LDA specifies the first dimension of A as declared  *>           triangular matrix and the strictly upper triangular part of
 *           in the calling (sub) program. LDA must be at least  *>           A is not referenced.
 *           max( 1, n ).  *>           Note that when  DIAG = 'U' or 'u', the diagonal elements of
 *           Unchanged on exit.  *>           A are not referenced either, but are assumed to be unity.
 *  *> \endverbatim
 *  X      - COMPLEX*16       array of dimension at least  *>
 *           ( 1 + ( n - 1 )*abs( INCX ) ).  *> \param[in] LDA
 *           Before entry, the incremented array X must contain the n  *> \verbatim
 *           element vector x. On exit, X is overwritten with the  *>          LDA is INTEGER
 *           tranformed vector x.  *>           On entry, LDA specifies the first dimension of A as declared
 *  *>           in the calling (sub) program. LDA must be at least
 *  INCX   - INTEGER.  *>           max( 1, n ).
 *           On entry, INCX specifies the increment for the elements of  *> \endverbatim
 *           X. INCX must not be zero.  *>
 *           Unchanged on exit.  *> \param[in] X
 *  *> \verbatim
 *  Further Details  *>          X is (input/output) COMPLEX*16 array of dimension at least
 *  ===============  *>           ( 1 + ( n - 1 )*abs( INCX ) ).
   *>           Before entry, the incremented array X must contain the n
   *>           element vector x. On exit, X is overwritten with the
   *>           tranformed vector x.
   *> \endverbatim
   *>
   *> \param[in] INCX
   *> \verbatim
   *>          INCX is INTEGER
   *>           On entry, INCX specifies the increment for the elements of
   *>           X. INCX must not be zero.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16_blas_level2
   *
   *> \par Further Details:
   *  =====================
   *>
   *> \verbatim
   *>
   *>  Level 2 Blas routine.
   *>  The vector and matrix arguments are not referenced when N = 0, or M = 0
   *>
   *>  -- Written on 22-October-1986.
   *>     Jack Dongarra, Argonne National Lab.
   *>     Jeremy Du Croz, Nag Central Office.
   *>     Sven Hammarling, Nag Central Office.
   *>     Richard Hanson, Sandia National Labs.
   *> \endverbatim
   *>
   *  =====================================================================
         SUBROUTINE ZTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
 *  *
 *  Level 2 Blas routine.  *  -- Reference BLAS level2 routine (version 3.4.0) --
 *  The vector and matrix arguments are not referenced when N = 0, or M = 0  *  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
   *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
   *     November 2011
 *  *
 *  -- Written on 22-October-1986.  *     .. Scalar Arguments ..
 *     Jack Dongarra, Argonne National Lab.        INTEGER INCX,LDA,N
 *     Jeremy Du Croz, Nag Central Office.        CHARACTER DIAG,TRANS,UPLO
 *     Sven Hammarling, Nag Central Office.  *     ..
 *     Richard Hanson, Sandia National Labs.  *     .. Array Arguments ..
         COMPLEX*16 A(LDA,*),X(*)
   *     ..
 *  *
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
       DOUBLE COMPLEX ZERO        COMPLEX*16 ZERO
       PARAMETER (ZERO= (0.0D+0,0.0D+0))        PARAMETER (ZERO= (0.0D+0,0.0D+0))
 *     ..  *     ..
 *     .. Local Scalars ..  *     .. Local Scalars ..
       DOUBLE COMPLEX TEMP        COMPLEX*16 TEMP
       INTEGER I,INFO,IX,J,JX,KX        INTEGER I,INFO,IX,J,JX,KX
       LOGICAL NOCONJ,NOUNIT        LOGICAL NOCONJ,NOUNIT
 *     ..  *     ..
Removed from v.1.7  
changed lines
  Added in v.1.8

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