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zsyrk (3)
  • >> zsyrk (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zsyrk - perform one of the symmetric rank k  operations    C
         := alpha*A*A' + beta*C or C := alpha*A'*A + beta*C
    
    SYNOPSIS
         SUBROUTINE ZSYRK ( UPLO, TRANS, N, K, ALPHA, A,  LDA,  BETA,
                   C, LDC )
    
         CHARACTER*1 UPLO, TRANS
    
         INTEGER N, K, LDA, LDC
    
         COMPLEX*16 ALPHA, BETA
    
         COMPLEX*16 A( LDA, * ), C( LDC, * )
    
    
    
         #include <sunperf.h>
    
         void zsyrk(char uplo, char trans, int n, int  k,  doublecom-
                   plex  *zalpha,  doublecomplex  *za, int lda, doub-
                   lecomplex * beta, doublecomplex *zc, int ldc) ;
    
    PURPOSE
         ZSYRK  performs one of the symmetric rank k operations
         C := alpha*A*A' + beta*C or C := alpha*A'*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.
    
    
    PARAMETERS
         UPLO      - 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     - CHARACTER*1.
                   On entry,  TRANS  specifies the  operation  to  be
                   performed as follows:
                   TRANS = 'N' or 'n'   C := alpha*A*A' + beta*C.
                   TRANS = 'T' or 't'   C := alpha*A'*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   other-
                   wise.
                   Before entry with  TRANS = 'N' or 'n',  the  lead-
                   ing  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  lead-
                   ing   n  by n upper triangular part of the array C
                   must contain the upper  triangular  part   of  the
                   symmetric  matrix  and the strictly lower triangu-
                   lar part of C is not  referenced.   On  exit,  the
                   upper triangular part of the array  C is overwrit-
                   ten by the upper triangular part  of  the  updated
                   matrix.
                   Before entry  with  UPLO = 'L' or 'l',  the  lead-
                   ing   n  by n lower triangular part of the array C
                   must contain the lower  triangular  part   of  the
                   symmetric  matrix  and the strictly upper triangu-
                   lar part of C is not  referenced.   On  exit,  the
                   lower triangular part of the array  C is overwrit-
                   ten 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.
    
    
    
    


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