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dsyr2(3P)		    Sun Performance Library		     dsyr2(3P)

NAME
       dsyr2  -	 perform  the  symmetric  rank 2 operation   A := alpha*x*y' +
       alpha*y*x' + A

SYNOPSIS
       SUBROUTINE DSYR2(UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA)

       CHARACTER * 1 UPLO
       INTEGER N, INCX, INCY, LDA
       DOUBLE PRECISION ALPHA
       DOUBLE PRECISION X(*), Y(*), A(LDA,*)

       SUBROUTINE DSYR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA)

       CHARACTER * 1 UPLO
       INTEGER*8 N, INCX, INCY, LDA
       DOUBLE PRECISION ALPHA
       DOUBLE PRECISION X(*), Y(*), A(LDA,*)

   F95 INTERFACE
       SUBROUTINE SYR2(UPLO, [N], ALPHA, X, [INCX], Y, [INCY], A, [LDA])

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: N, INCX, INCY, LDA
       REAL(8) :: ALPHA
       REAL(8), DIMENSION(:) :: X, Y
       REAL(8), DIMENSION(:,:) :: A

       SUBROUTINE SYR2_64(UPLO, [N], ALPHA, X, [INCX], Y, [INCY], A, [LDA])

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: N, INCX, INCY, LDA
       REAL(8) :: ALPHA
       REAL(8), DIMENSION(:) :: X, Y
       REAL(8), DIMENSION(:,:) :: A

   C INTERFACE
       #include <sunperf.h>

       void dsyr2(char uplo, int n, double alpha, double *x, int incx,	double
		 *y, int incy, double *a, int lda);

       void  dsyr2_64(char  uplo,  long n, double alpha, double *x, long incx,
		 double *y, long incy, double *a, long lda);

PURPOSE
       dsyr2 performs the  symmetric  rank  2  operation  A  :=	 alpha*x*y'  +
       alpha*y*x'  + A, where alpha is a scalar, x and y are n element vectors
       and A is an n by n symmetric matrix.

ARGUMENTS
       UPLO (input)
		 On entry, UPLO specifies whether the upper or lower  trianguā€
		 lar 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 (input)
		 On  entry,  N	specifies  the order of the matrix A.  N >= 0.
		 Unchanged on exit.

       ALPHA (input)
		 On entry, ALPHA specifies the	scalar	alpha.	 Unchanged  on
		 exit.

       X (input)
		 ( 1 + ( n - 1 )*abs( INCX ) ).	 Before entry, the incremented
		 array X must contain the n element vector  x.	 Unchanged  on
		 exit.

       INCX (input)
		 On entry, INCX specifies the increment for the elements of X.
		 INCX <> 0.  Unchanged on exit.

       Y (input)
		 ( 1 + ( n - 1 )*abs( INCY ) ).	 Before entry, the incremented
		 array	Y  must	 contain the n element vector y.  Unchanged on
		 exit.

       INCY (input)
		 On entry, INCY specifies the increment for the elements of Y.
		 INCY <> 0.  Unchanged on exit.

       A (input/output)
		 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 (input)
		 On entry, LDA specifies the first dimension of A as  declared
		 in  the calling (sub) program. LDA >= max( 1, n ).  Unchanged
		 on exit.

				  6 Mar 2009			     dsyr2(3P)
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