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

Diff for /rpl/lapack/blas/zsyrk.f between versions 1.7 and 1.8

version 1.7, 2011/07/22 07:38:03 version 1.8, 2011/11/21 20:37:09
Line 1 Line 1
       SUBROUTINE ZSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)  *> \brief \b ZSYRK
 *     .. Scalar Arguments ..  
       DOUBLE COMPLEX ALPHA,BETA  
       INTEGER K,LDA,LDC,N  
       CHARACTER TRANS,UPLO  
 *     ..  
 *     .. Array Arguments ..  
       DOUBLE COMPLEX A(LDA,*),C(LDC,*)  
 *     ..  
 *  *
 *  Purpose  *  =========== DOCUMENTATION ===========
 *  =======  
 *  *
 *  ZSYRK  performs one of the symmetric rank k operations  * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
 *  *
 *     C := alpha*A*A**T + beta*C,  *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
   * 
   *       .. Scalar Arguments ..
   *       COMPLEX*16 ALPHA,BETA
   *       INTEGER K,LDA,LDC,N
   *       CHARACTER TRANS,UPLO
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16 A(LDA,*),C(LDC,*)
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZSYRK  performs one of the symmetric rank k operations
   *>
   *>    C := alpha*A*A**T + beta*C,
   *>
   *> or
   *>
   *>    C := alpha*A**T*A + beta*C,
   *>
   *> where  alpha and beta  are scalars,  C is an  n by n symmetric matrix
   *> and  A  is an  n by k  matrix in the first case and a  k by n  matrix
   *> in the second case.
   *> \endverbatim
 *  *
 *  or  *  Arguments:
 *  *  ==========
 *     C := alpha*A**T*A + beta*C,  
 *  *
 *  where  alpha and beta  are scalars,  C is an  n by n symmetric matrix  *> \param[in] UPLO
 *  and  A  is an  n by k  matrix in the first case and a  k by n  matrix  *> \verbatim
 *  in the second case.  *>          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.
   *> \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**T + beta*C.
   *>
   *>              TRANS = 'T' or 't'   C := alpha*A**T*A + beta*C.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>           On entry,  N specifies the order of the matrix C.  N must be
   *>           at least zero.
   *> \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 = 'T' or 't',  K  specifies  the number of rows of the
   *>           matrix A.  K must be at least zero.
   *> \endverbatim
   *>
   *> \param[in] ALPHA
   *> \verbatim
   *>          ALPHA is COMPLEX*16
   *>           On entry, ALPHA specifies the scalar alpha.
   *> \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.
   *> \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 ).
   *> \endverbatim
   *>
   *> \param[in] BETA
   *> \verbatim
   *>          BETA is COMPLEX*16
   *>           On entry, BETA specifies the scalar beta.
   *> \endverbatim
   *>
   *> \param[in,out] C
   *> \verbatim
   *>          C is COMPLEX*16 array of DIMENSION ( LDC, n ).
   *>           Before entry  with  UPLO = 'U' or 'u',  the leading  n by n
   *>           upper triangular part of the array C must contain the upper
   *>           triangular part  of the  symmetric matrix  and the strictly
   *>           lower triangular part of C is not referenced.  On exit, the
   *>           upper triangular part of the array  C is overwritten by the
   *>           upper triangular part of the updated matrix.
   *>           Before entry  with  UPLO = 'L' or 'l',  the leading  n by n
   *>           lower triangular part of the array C must contain the lower
   *>           triangular part  of the  symmetric matrix  and the strictly
   *>           upper triangular part of C is not referenced.  On exit, the
   *>           lower triangular part of the array  C is overwritten by the
   *>           lower triangular part of the updated matrix.
   *> \endverbatim
   *>
   *> \param[in] LDC
   *> \verbatim
   *>          LDC is INTEGER
   *>           On entry, LDC specifies the first dimension of C as declared
   *>           in  the  calling  (sub)  program.   LDC  must  be  at  least
   *>           max( 1, n ).
   *> \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_level3
   *
   *> \par Further Details:
   *  =====================
   *>
   *> \verbatim
   *>
   *>  Level 3 Blas routine.
   *>
   *>  -- Written on 8-February-1989.
   *>     Jack Dongarra, Argonne National Laboratory.
   *>     Iain Duff, AERE Harwell.
   *>     Jeremy Du Croz, Numerical Algorithms Group Ltd.
   *>     Sven Hammarling, Numerical Algorithms Group Ltd.
   *> \endverbatim
   *>
   *  =====================================================================
         SUBROUTINE ZSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
 *  *
 *  Arguments  *  -- Reference BLAS level3 routine (version 3.4.0) --
 *  ==========  *  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
   *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
   *     November 2011
 *  *
 *  UPLO   - CHARACTER*1.  *     .. Scalar Arguments ..
 *           On  entry,   UPLO  specifies  whether  the  upper  or  lower        COMPLEX*16 ALPHA,BETA
 *           triangular  part  of the  array  C  is to be  referenced  as        INTEGER K,LDA,LDC,N
 *           follows:        CHARACTER TRANS,UPLO
 *  *     ..
 *              UPLO = 'U' or 'u'   Only the  upper triangular part of  C  *     .. Array Arguments ..
 *                                  is to be referenced.        COMPLEX*16 A(LDA,*),C(LDC,*)
 *  *     ..
 *              UPLO = 'L' or 'l'   Only the  lower triangular part of  C  
 *                                  is to be referenced.  
 *  
 *           Unchanged on exit.  
 *  
 *  TRANS  - CHARACTER*1.  
 *           On entry,  TRANS  specifies the operation to be performed as  
 *           follows:  
 *  
 *              TRANS = 'N' or 'n'   C := alpha*A*A**T + beta*C.  
 *  
 *              TRANS = 'T' or 't'   C := alpha*A**T*A + beta*C.  
 *  
 *           Unchanged on exit.  
 *  
 *  N      - INTEGER.  
 *           On entry,  N specifies the order of the matrix C.  N must be  
 *           at least zero.  
 *           Unchanged on exit.  
 *  
 *  K      - INTEGER.  
 *           On entry with  TRANS = 'N' or 'n',  K  specifies  the number  
 *           of  columns   of  the   matrix   A,   and  on   entry   with  
 *           TRANS = 'T' or 't',  K  specifies  the number of rows of the  
 *           matrix A.  K must be at least zero.  
 *           Unchanged on exit.  
 *  
 *  ALPHA  - COMPLEX*16      .  
 *           On entry, ALPHA specifies the scalar alpha.  
 *           Unchanged on exit.  
 *  
 *  A      - 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    - 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   - COMPLEX*16      .  
 *           On entry, BETA specifies the scalar beta.  
 *           Unchanged on exit.  
 *  
 *  C      - COMPLEX*16       array of DIMENSION ( LDC, n ).  
 *           Before entry  with  UPLO = 'U' or 'u',  the leading  n by n  
 *           upper triangular part of the array C must contain the upper  
 *           triangular part  of the  symmetric matrix  and the strictly  
 *           lower triangular part of C is not referenced.  On exit, the  
 *           upper triangular part of the array  C is overwritten by the  
 *           upper triangular part of the updated matrix.  
 *           Before entry  with  UPLO = 'L' or 'l',  the leading  n by n  
 *           lower triangular part of the array C must contain the lower  
 *           triangular part  of the  symmetric matrix  and the strictly  
 *           upper triangular part of C is not referenced.  On exit, the  
 *           lower triangular part of the array  C is overwritten by the  
 *           lower triangular part of the updated matrix.  
 *  
 *  LDC    - INTEGER.  
 *           On entry, LDC specifies the first dimension of C as declared  
 *           in  the  calling  (sub)  program.   LDC  must  be  at  least  
 *           max( 1, n ).  
 *           Unchanged on exit.  
 *  
 *  Further Details  
 *  ===============  
 *  
 *  Level 3 Blas routine.  
 *  
 *  -- Written on 8-February-1989.  
 *     Jack Dongarra, Argonne National Laboratory.  
 *     Iain Duff, AERE Harwell.  
 *     Jeremy Du Croz, Numerical Algorithms Group Ltd.  
 *     Sven Hammarling, Numerical Algorithms Group Ltd.  
 *  *
 *  =====================================================================  *  =====================================================================
 *  *
Line 128 Line 194
       INTRINSIC MAX        INTRINSIC MAX
 *     ..  *     ..
 *     .. Local Scalars ..  *     .. Local Scalars ..
       DOUBLE COMPLEX TEMP        COMPLEX*16 TEMP
       INTEGER I,INFO,J,L,NROWA        INTEGER I,INFO,J,L,NROWA
       LOGICAL UPPER        LOGICAL UPPER
 *     ..  *     ..
 *     .. Parameters ..  *     .. Parameters ..
       DOUBLE COMPLEX ONE        COMPLEX*16 ONE
       PARAMETER (ONE= (1.0D+0,0.0D+0))        PARAMETER (ONE= (1.0D+0,0.0D+0))
       DOUBLE COMPLEX ZERO        COMPLEX*16 ZERO
       PARAMETER (ZERO= (0.0D+0,0.0D+0))        PARAMETER (ZERO= (0.0D+0,0.0D+0))
 *     ..  *     ..
 *  *
Removed from v.1.7  
changed lines
  Added in v.1.8

CVSweb interface <joel.bertrand@systella.fr>