[BACK]Return to zhfrk.f CVS log [TXT] [DIR] Up to [local] / rpl / lapack / lapack

Diff for /rpl/lapack/lapack/zhfrk.f between versions 1.6 and 1.7

version 1.6, 2011/07/22 07:38:15 version 1.7, 2011/11/21 20:43:12
Line 1 Line 1
       SUBROUTINE ZHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA,  *> \brief \b ZHFRK
      $                  C )  *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZHFRK + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhfrk.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhfrk.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhfrk.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA,
   *                         C )
   * 
   *       .. Scalar Arguments ..
   *       DOUBLE PRECISION   ALPHA, BETA
   *       INTEGER            K, LDA, N
   *       CHARACTER          TRANS, TRANSR, UPLO
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         A( LDA, * ), C( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> Level 3 BLAS like routine for C in RFP Format.
   *>
   *> ZHFRK performs one of the Hermitian rank--k operations
   *>
   *>    C := alpha*A*A**H + beta*C,
   *>
   *> or
   *>
   *>    C := alpha*A**H*A + beta*C,
   *>
   *> where alpha and beta are real scalars, C is an n--by--n Hermitian
   *> matrix and A is an n--by--k matrix in the first case and a k--by--n
   *> matrix in the second case.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] TRANSR
   *> \verbatim
   *>          TRANSR is CHARACTER*1
   *>          = 'N':  The Normal Form of RFP A is stored;
   *>          = 'C':  The Conjugate-transpose Form of RFP A is stored.
   *> \endverbatim
   *>
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>           On  entry,   UPLO  specifies  whether  the  upper  or  lower
   *>           triangular  part  of the  array  C  is to be  referenced  as
   *>           follows:
   *>
   *>              UPLO = 'U' or 'u'   Only the  upper triangular part of  C
   *>                                  is to be referenced.
   *>
   *>              UPLO = 'L' or 'l'   Only the  lower triangular part of  C
   *>                                  is to be referenced.
   *>
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] TRANS
   *> \verbatim
   *>          TRANS is CHARACTER*1
   *>           On entry,  TRANS  specifies the operation to be performed as
   *>           follows:
   *>
   *>              TRANS = 'N' or 'n'   C := alpha*A*A**H + beta*C.
   *>
   *>              TRANS = 'C' or 'c'   C := alpha*A**H*A + beta*C.
   *>
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>           On entry,  N specifies the order of the matrix C.  N must be
   *>           at least zero.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] K
   *> \verbatim
   *>          K is INTEGER
   *>           On entry with  TRANS = 'N' or 'n',  K  specifies  the number
   *>           of  columns   of  the   matrix   A,   and  on   entry   with
   *>           TRANS = 'C' or 'c',  K  specifies  the number of rows of the
   *>           matrix A.  K must be at least zero.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] ALPHA
   *> \verbatim
   *>          ALPHA is DOUBLE PRECISION
   *>           On entry, ALPHA specifies the scalar alpha.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] A
   *> \verbatim
   *>          A is COMPLEX*16 array of DIMENSION (LDA,ka)
   *>           where KA
   *>           is K  when TRANS = 'N' or 'n', and is N otherwise. Before
   *>           entry with TRANS = 'N' or 'n', the leading N--by--K part of
   *>           the array A must contain the matrix A, otherwise the leading
   *>           K--by--N part of the array A must contain the matrix A.
   *>           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.   When  TRANS = 'N' or 'n'
   *>           then  LDA must be at least  max( 1, n ), otherwise  LDA must
   *>           be at least  max( 1, k ).
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in] BETA
   *> \verbatim
   *>          BETA is DOUBLE PRECISION
   *>           On entry, BETA specifies the scalar beta.
   *>           Unchanged on exit.
   *> \endverbatim
   *>
   *> \param[in,out] C
   *> \verbatim
   *>          C is COMPLEX*16 array, dimension (N*(N+1)/2)
   *>           On entry, the matrix A in RFP Format. RFP Format is
   *>           described by TRANSR, UPLO and N. Note that the imaginary
   *>           parts of the diagonal elements need not be set, they are
   *>           assumed to be zero, and on exit they are set to zero.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
 *  *
 *  -- LAPACK routine (version 3.3.1)                                    --  *> \ingroup complex16OTHERcomputational
 *  *
 *  -- Contributed by Julien Langou of the Univ. of Colorado Denver    --  *  =====================================================================
 *  -- April 2011                                                      --        SUBROUTINE ZHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA,
        $                  C )
 *  *
   *  -- 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..--
   *     November 2011
 *  *
 *     ..  
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       DOUBLE PRECISION   ALPHA, BETA        DOUBLE PRECISION   ALPHA, BETA
       INTEGER            K, LDA, N        INTEGER            K, LDA, N
Line 19 Line 182
       COMPLEX*16         A( LDA, * ), C( * )        COMPLEX*16         A( LDA, * ), C( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  Level 3 BLAS like routine for C in RFP Format.  
 *  
 *  ZHFRK performs one of the Hermitian rank--k operations  
 *  
 *     C := alpha*A*A**H + beta*C,  
 *  
 *  or  
 *  
 *     C := alpha*A**H*A + beta*C,  
 *  
 *  where alpha and beta are real scalars, C is an n--by--n Hermitian  
 *  matrix and A is an n--by--k matrix in the first case and a k--by--n  
 *  matrix in the second case.  
 *  
 *  Arguments  
 *  ==========  
 *  
 *  TRANSR  (input) CHARACTER*1  
 *          = 'N':  The Normal Form of RFP A is stored;  
 *          = 'C':  The Conjugate-transpose Form of RFP A is stored.  
 *  
 *  UPLO    (input) CHARACTER*1  
 *           On  entry,   UPLO  specifies  whether  the  upper  or  lower  
 *           triangular  part  of the  array  C  is to be  referenced  as  
 *           follows:  
 *  
 *              UPLO = 'U' or 'u'   Only the  upper triangular part of  C  
 *                                  is to be referenced.  
 *  
 *              UPLO = 'L' or 'l'   Only the  lower triangular part of  C  
 *                                  is to be referenced.  
 *  
 *           Unchanged on exit.  
 *  
 *  TRANS   (input) CHARACTER*1  
 *           On entry,  TRANS  specifies the operation to be performed as  
 *           follows:  
 *  
 *              TRANS = 'N' or 'n'   C := alpha*A*A**H + beta*C.  
 *  
 *              TRANS = 'C' or 'c'   C := alpha*A**H*A + beta*C.  
 *  
 *           Unchanged on exit.  
 *  
 *  N       (input) INTEGER  
 *           On entry,  N specifies the order of the matrix C.  N must be  
 *           at least zero.  
 *           Unchanged on exit.  
 *  
 *  K       (input) INTEGER  
 *           On entry with  TRANS = 'N' or 'n',  K  specifies  the number  
 *           of  columns   of  the   matrix   A,   and  on   entry   with  
 *           TRANS = 'C' or 'c',  K  specifies  the number of rows of the  
 *           matrix A.  K must be at least zero.  
 *           Unchanged on exit.  
 *  
 *  ALPHA   (input) DOUBLE PRECISION  
 *           On entry, ALPHA specifies the scalar alpha.  
 *           Unchanged on exit.  
 *  
 *  A       (input) COMPLEX*16 array of DIMENSION (LDA,ka)  
 *           where KA  
 *           is K  when TRANS = 'N' or 'n', and is N otherwise. Before  
 *           entry with TRANS = 'N' or 'n', the leading N--by--K part of  
 *           the array A must contain the matrix A, otherwise the leading  
 *           K--by--N part of the array A must contain the matrix A.  
 *           Unchanged on exit.  
 *  
 *  LDA     (input) INTEGER  
 *           On entry, LDA specifies the first dimension of A as declared  
 *           in  the  calling  (sub)  program.   When  TRANS = 'N' or 'n'  
 *           then  LDA must be at least  max( 1, n ), otherwise  LDA must  
 *           be at least  max( 1, k ).  
 *           Unchanged on exit.  
 *  
 *  BETA    (input) DOUBLE PRECISION  
 *           On entry, BETA specifies the scalar beta.  
 *           Unchanged on exit.  
 *  
 *  C       (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)  
 *           On entry, the matrix A in RFP Format. RFP Format is  
 *           described by TRANSR, UPLO and N. Note that the imaginary  
 *           parts of the diagonal elements need not be set, they are  
 *           assumed to be zero, and on exit they are set to zero.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.6  
changed lines
  Added in v.1.7

CVSweb interface <joel.bertrand@systella.fr>