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_SYR,_HER(3F)							 _SYR,_HER(3F)

NAME
     dsyr, ssyr, zher, cher - BLAS Level Two   (Symmetric/Hermitian)Matrix
     Rank 1 Update

FORTRAN 77 SYNOPSIS
     subroutine dsyr( uplo, n, alpha, x, incx, a, lda )
	   character*1	      uplo
	   integer	      n, incx, lda
	   double precision   alpha
	   double precision   a( lda,*), x(*)

     subroutine ssyr( uplo, n, alpha, x, incx, a, lda )
	   character*1	      uplo
	   integer	      n, incx, lda
	   real		      alpha
	   real		      a( lda,*), x(*)

     subroutine zher( uplo, n, alpha, x, incx, a, lda )
	   character*1	      uplo
	   integer	      n, incx, lda
	   complex*16	      alpha
	   complex*16	      a( lda,*), x(*)

     subroutine cher( uplo, n, alpha, x, incx, a, lda )
	   character*1	      uplo
	   integer	      n, incx, lda
	   complex	      alpha
	   complex	      a( lda,*), x(*)

C SYNOPSIS
     void dsyr( uplo, n, alpha, x, incx, a, lda )
	   MatrixTriangle     uplo;
	   Integer	      n, incx, lda;
	   double	      alpha;
	   double	      (*a)[lda*n], (*x)[ n ];

     void ssyr( uplo, n, alpha, x, incx, a, lda )
	   MatrixTriangle     uplo;
	   Integer	      n, incx, lda;
	   float	      alpha;
	   float	      (*a)[lda*n], (*x)[ n ];

     void zher( uplo, n, alpha, x, incx, a, lda )
	   MatrixTriangle     uplo;
	   Integer	      n, incx, lda;
	   Zomplex	      alpha;
	   Zomplex	      (*a)[lda*n], (*x)[ n ];

     void cher( uplo, n, alpha, x, incx, a, lda )

									Page 1

_SYR,_HER(3F)							 _SYR,_HER(3F)

	   MatrixTriangle     uplo;
	   Integer	      n, incx, lda;
	   Complex	      alpha;
	   Complex	      (*a)[lda*n], (*x)[ n ]

DESCRIPTION
     dsyr and ssyr perform the symmetric rank 1 operation

	   A := alpha*x*x' + A,

     zher and cher perform the hermitian rank 1 operation

	   A := alpha*x*conjg( x' ) + A,

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

PARAMETERS
     uplo    On entry, uplo specifies whether the upper or lower triangular
	     part of the array A is to be referenced a follows:

	     FORTRAN
	     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.

	     C
	     uplo = UpperTriangle     Only the lower triangular part of A
				      is to be referenced.
	     uplo = LowerTriangle     Only the lower triangular part of A
				      is to be referenced.

	     Unchanged on exit.

     n	     On entry, n specifies the the order of the matrix A.  n must be
	     at least zero.
	     Unchanged on exit.

     alpha   specifies the scalar alpha.
	     Unchanged on exit.

     x	     Array of size at least ( 1 + ( n - 1 )*abs( incx ) ). Before
	     entry, the incremented array x must contain the n element vector
	     x.
	     Unchanged on exit.

									Page 2

_SYR,_HER(3F)							 _SYR,_HER(3F)

     incx    On entry, incx specifies the increment for the elements of x.
	     incx must not be zero.
	     Unchanged on exit.

     a	     An array containing the matrix A.

	     FORTRAN
	     Array of dimension ( lda, n ).

	     C
	     A pointer to an array of size lda*n.
	     See note below about array storage convention for C.

	     Before entry with uplo = 'U' or 'u' or , the array elements
	     corresponding to the leading n by n upper triangular part of the
	     matrix A must contain the uppertriangular part of the
	     symmetric/hermitian matrix and the corresponding strictly lower
	     triangular part of A is not referenced. On exit, the array
	     elements corresponding to the upper triangular part of the matrix
	     A is overwritten by the upper triangular part of the updated
	     matrix.

	     Before entry with uplo = 'L' or 'l' or , the array elements
	     corresponding to the leading n by n lower triangular part of the
	     matrix A must contain the lower triangular part of the
	     symmetric/hermitian matrix and the corresponding strictly upper
	     triangular part of A is not referenced. On exit, the array
	     elements corresponding to the lower triangular part of the matrix
	     A is overwritten by the lower triangular part of the updated
	     matrix.

	     Note that the imaginary parts of the diagonal elements need not
	     be set and are assumed to be zero.

     lda     On entry, lda specifies the first dimension of A as declared in
	     the calling (sub) program. lda must be at least ( k + 1 ).
	     Unchanged on exit.

C ARRAY STORAGE CONVENTION
       The matrices  are assumed  to be stored in a  one dimensional C array
       in an analogous fashion as a Fortran array (column major). Therefore,
       the element  A(i+1,j)  of matrix A  is stored  immediately  after the
       element	A(i,j), while  A(i,j+1) is lda	elements apart from  A(i,j).
       The element A(i,j) of the matrix can be accessed directly by reference
       to  a[ (j-1)*lda + (i-1) ].

AUTHORS
	  Jack Dongarra, Argonne National Laboratory.
	  Iain Duff, AERE Harwell.
	  Jeremy Du Croz, Numerical Algorithms Group Ltd.

									Page 3

_SYR,_HER(3F)							 _SYR,_HER(3F)

	  Sven Hammarling, Numerical Algorithms Group Ltd.

									Page 4

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