Contents
zher - perform the hermitian rank 1 operation A :=
alpha*x*conjg( x' ) + A
SUBROUTINE ZHER(UPLO, N, ALPHA, X, INCX, A, LDA)
CHARACTER * 1 UPLO
DOUBLE COMPLEX X(*), A(LDA,*)
INTEGER N, INCX, LDA
DOUBLE PRECISION ALPHA
SUBROUTINE ZHER_64(UPLO, N, ALPHA, X, INCX, A, LDA)
CHARACTER * 1 UPLO
DOUBLE COMPLEX X(*), A(LDA,*)
INTEGER*8 N, INCX, LDA
DOUBLE PRECISION ALPHA
F95 INTERFACE
SUBROUTINE HER(UPLO, [N], ALPHA, X, [INCX], A, [LDA])
CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:) :: X
COMPLEX(8), DIMENSION(:,:) :: A
INTEGER :: N, INCX, LDA
REAL(8) :: ALPHA
SUBROUTINE HER_64(UPLO, [N], ALPHA, X, [INCX], A, [LDA])
CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:) :: X
COMPLEX(8), DIMENSION(:,:) :: A
INTEGER(8) :: N, INCX, LDA
REAL(8) :: ALPHA
C INTERFACE
#include <sunperf.h>
void zher(char uplo, int n, double alpha, doublecomplex *x,
int incx, doublecomplex *a, int lda);
void zher_64(char uplo, long n, double alpha, doublecomplex
*x, long incx, doublecomplex *a, long lda);
zher performs the hermitian rank 1 operation A :=
alpha*x*conjg( x' ) + A where alpha is a real scalar, x is
an n element vector and A is an n by n hermitian matrix.
UPLO (input)
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 (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)
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 hermitian
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 hermitian 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. Note that the ima-
ginary parts of the diagonal elements need not be
set, they are assumed to be zero, and on exit they
are set to zero.
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.