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version 1.7, 2010/12/21 13:53:56 version 1.8, 2011/11/21 20:43:21
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   *> \brief \b ZSYMV
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZSYMV + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsymv.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsymv.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsymv.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZSYMV( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          UPLO
   *       INTEGER            INCX, INCY, LDA, N
   *       COMPLEX*16         ALPHA, BETA
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         A( LDA, * ), X( * ), Y( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZSYMV  performs the matrix-vector  operation
   *>
   *>    y := alpha*A*x + beta*y,
   *>
   *> where alpha and beta are scalars, x and y are n element vectors and
   *> A is an n by n symmetric matrix.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>           On entry, UPLO specifies whether the upper or lower
   *>           triangular part of the array A is to be referenced as
   *>           follows:
   *>
   *>              UPLO = 'U' or 'u'   Only the upper triangular part of A
   *>                                  is to be referenced.
   *>
   *>              UPLO = 'L' or 'l'   Only the lower triangular part of A
   *>                                  is to be referenced.
   *>
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>           On entry, N specifies the order of the matrix A.
   *>           N must be at least zero.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] ALPHA
   *> \verbatim
   *>          ALPHA is COMPLEX*16
   *>           On entry, ALPHA specifies the scalar alpha.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] A
   *> \verbatim
   *>          A is COMPLEX*16 array, dimension ( LDA, N )
   *>           Before entry, with  UPLO = 'U' or 'u', the leading n by n
   *>           upper triangular part of the array A must contain the upper
   *>           triangular part of the symmetric matrix and the strictly
   *>           lower triangular part of A is not referenced.
   *>           Before entry, with UPLO = 'L' or 'l', the leading n by n
   *>           lower triangular part of the array A must contain the lower
   *>           triangular part of the symmetric matrix and the strictly
   *>           upper triangular part of A is not referenced.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] LDA
   *> \verbatim
   *>          LDA is INTEGER
   *>           On entry, LDA specifies the first dimension of A as declared
   *>           in the calling (sub) program. LDA must be at least
   *>           max( 1, N ).
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] X
   *> \verbatim
   *>          X is COMPLEX*16 array, dimension at least
   *>           ( 1 + ( N - 1 )*abs( INCX ) ).
   *>           Before entry, the incremented array X must contain the N-
   *>           element vector x.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] INCX
   *> \verbatim
   *>          INCX is INTEGER
   *>           On entry, INCX specifies the increment for the elements of
   *>           X. INCX must not be zero.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] BETA
   *> \verbatim
   *>          BETA is COMPLEX*16
   *>           On entry, BETA specifies the scalar beta. When BETA is
   *>           supplied as zero then Y need not be set on input.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in,out] Y
   *> \verbatim
   *>          Y is COMPLEX*16 array, dimension at least
   *>           ( 1 + ( N - 1 )*abs( INCY ) ).
   *>           Before entry, the incremented array Y must contain the n
   *>           element vector y. On exit, Y is overwritten by the updated
   *>           vector y.
   *> \endverbatim
   *>
   *> \param[in] INCY
   *> \verbatim
   *>          INCY is INTEGER
   *>           On entry, INCY specifies the increment for the elements of
   *>           Y. INCY must not be zero.
   *>           Unchanged on exit.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16SYauxiliary
   *
   *  =====================================================================
       SUBROUTINE ZSYMV( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )        SUBROUTINE ZSYMV( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )
 *  *
 *  -- LAPACK auxiliary routine (version 3.2) --  *  -- 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..--
 *     November 2006  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          UPLO        CHARACTER          UPLO
Line 14 Line 171
       COMPLEX*16         A( LDA, * ), X( * ), Y( * )        COMPLEX*16         A( LDA, * ), X( * ), Y( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZSYMV  performs the matrix-vector  operation  
 *  
 *     y := alpha*A*x + beta*y,  
 *  
 *  where alpha and beta are scalars, x and y are n element vectors and  
 *  A is an n by n symmetric matrix.  
 *  
 *  Arguments  
 *  ==========  
 *  
 *  UPLO     (input) CHARACTER*1  
 *           On entry, UPLO specifies whether the upper or lower  
 *           triangular part of the array A is to be referenced as  
 *           follows:  
 *  
 *              UPLO = 'U' or 'u'   Only the upper triangular part of A  
 *                                  is to be referenced.  
 *  
 *              UPLO = 'L' or 'l'   Only the lower triangular part of A  
 *                                  is to be referenced.  
 *  
 *           Unchanged on exit.  
 *  
 *  N        (input) INTEGER  
 *           On entry, N specifies the order of the matrix A.  
 *           N must be at least zero.  
 *           Unchanged on exit.  
 *  
 *  ALPHA    (input) COMPLEX*16  
 *           On entry, ALPHA specifies the scalar alpha.  
 *           Unchanged on exit.  
 *  
 *  A        (input) COMPLEX*16 array, dimension ( LDA, N )  
 *           Before entry, with  UPLO = 'U' or 'u', the leading n by n  
 *           upper triangular part of the array A must contain the upper  
 *           triangular part of the symmetric matrix and the strictly  
 *           lower triangular part of A is not referenced.  
 *           Before entry, with UPLO = 'L' or 'l', the leading n by n  
 *           lower triangular part of the array A must contain the lower  
 *           triangular part of the symmetric matrix and the strictly  
 *           upper triangular part of A is not referenced.  
 *           Unchanged on exit.  
 *  
 *  LDA      (input) INTEGER  
 *           On entry, LDA specifies the first dimension of A as declared  
 *           in the calling (sub) program. LDA must be at least  
 *           max( 1, N ).  
 *           Unchanged on exit.  
 *  
 *  X        (input) COMPLEX*16 array, dimension at least  
 *           ( 1 + ( N - 1 )*abs( INCX ) ).  
 *           Before entry, the incremented array X must contain the N-  
 *           element vector x.  
 *           Unchanged on exit.  
 *  
 *  INCX     (input) INTEGER  
 *           On entry, INCX specifies the increment for the elements of  
 *           X. INCX must not be zero.  
 *           Unchanged on exit.  
 *  
 *  BETA     (input) COMPLEX*16  
 *           On entry, BETA specifies the scalar beta. When BETA is  
 *           supplied as zero then Y need not be set on input.  
 *           Unchanged on exit.  
 *  
 *  Y        (input/output) COMPLEX*16 array, dimension at least  
 *           ( 1 + ( N - 1 )*abs( INCY ) ).  
 *           Before entry, the incremented array Y must contain the n  
 *           element vector y. On exit, Y is overwritten by the updated  
 *           vector y.  
 *  
 *  INCY     (input) INTEGER  
 *           On entry, INCY specifies the increment for the elements of  
 *           Y. INCY must not be zero.  
 *           Unchanged on exit.  
 *  
 * =====================================================================  * =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.7  
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  Added in v.1.8

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