dspr
dspr - perform the symmetric rank 1 operation A := alpha*x*x' + A
SUBROUTINE DSPR( UPLO, N, ALPHA, X, INCX, A)
CHARACTER * 1 UPLO
INTEGER N, INCX
DOUBLE PRECISION ALPHA
DOUBLE PRECISION X(*), A(*)
SUBROUTINE DSPR_64( UPLO, N, ALPHA, X, INCX, A)
CHARACTER * 1 UPLO
INTEGER*8 N, INCX
DOUBLE PRECISION ALPHA
DOUBLE PRECISION X(*), A(*)
SUBROUTINE SPR( UPLO, N, ALPHA, X, [INCX], A)
CHARACTER(LEN=1) :: UPLO
INTEGER :: N, INCX
REAL(8) :: ALPHA
REAL(8), DIMENSION(:) :: X, A
SUBROUTINE SPR_64( UPLO, N, ALPHA, X, [INCX], A)
CHARACTER(LEN=1) :: UPLO
INTEGER(8) :: N, INCX
REAL(8) :: ALPHA
REAL(8), DIMENSION(:) :: X, A
#include <sunperf.h>
void dspr(char uplo, int n, double alpha, double *x, int incx, double *a);
void dspr_64(char uplo, long n, double alpha, double *x, long incx, double *a);
dspr performs the symmetric rank 1 operation
A := alpha*x*x' + A,
where alpha is a real scalar, x is an n element vector and A is an
n by n symmetric matrix, supplied in packed form.
-
* UPLO (input)
-
On entry, UPLO specifies whether the upper or lower
triangular part of the matrix A is supplied in the packed
array A as follows:
UPLO = 'U' or 'u' The upper triangular part of A is
supplied in A.
UPLO = 'L' or 'l' The lower triangular part of A is
supplied in A.
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.
-
* A (input/output)
-
( ( n*( n + 1 ) )/2 ).
Before entry with UPLO = 'U' or 'u', the array A must
contain the upper triangular part of the symmetric matrix
packed sequentially, column by column, so that A( 1 )
contains a( 1, 1 ), A( 2 ) and A( 3 ) contain a( 1, 2 )
and a( 2, 2 ) respectively, and so on. On exit, the array
A is overwritten by the upper triangular part of the
updated matrix.
Before entry with UPLO = 'L' or 'l', the array A must
contain the lower triangular part of the symmetric matrix
packed sequentially, column by column, so that A( 1 )
contains a( 1, 1 ), A( 2 ) and A( 3 ) contain a( 2, 1 )
and a( 3, 1 ) respectively, and so on. On exit, the array
A is overwritten by the lower triangular part of the
updated matrix.