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LAPACK version 3.0
zsyr(3)

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

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

      CHARACTER	   UPLO

      INTEGER	   INCX, LDA, N

      COMPLEX*16   ALPHA

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

DESCRIPTION
  ZSYR performs the symmetric rank 1 operation A := alpha*x*( x' ) + A, 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.