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NAME
     zsyr -  perform  the  symmetric  rank  1  operation    A  :=
     alpha*x*( x' ) + A,

SYNOPSIS
     SUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA )

     CHARACTER UPLO

     INTEGER INCX, LDA, N

     COMPLEX*16 ALPHA

     COMPLEX*16 A( LDA, * ), X( * )



     #include <sunperf.h>

     void zsyr(char *uplo, int *n, doublecomplex  *zalpha,  doub-
               lecomplex  *zx,  int *incx, doublecomplex *za, int
               *lda) ;

PURPOSE
     ZSYR   performs the symmetric rank 1 operation

     where alpha is a complex scalar, x is an  n  element  vector
     and A is an n by n symmetric matrix.


ARGUMENTS
     UPLO      - 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         - INTEGER
               On entry, N specifies the order of the  matrix  A.
               N must be at least zero.  Unchanged on exit.

     ALPHA     - COMPLEX*16
               On  entry,  ALPHA  specifies  the  scalar   alpha.
               Unchanged on exit.

     X         - 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      - INTEGER
               On entry, INCX specifies  the  increment  for  the
               elements  of  X. INCX must not be zero.  Unchanged
               on exit.

     A         - 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. On exit, the  upper  triangular
               part  of  the  array A 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 A must  contain
               the  lower triangular part of the symmetric matrix
               and the strictly upper triangular part of A is not
               referenced.  On exit, the lower triangular part of
               the array A is overwritten by the lower triangular
               part of the updated matrix.

     LDA       - 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.

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