NAME¶
CHER2 - perform the hermitian rank 2 operation A := alpha*x*conjg( y' ) + conjg(
alpha )*y*conjg( x' ) + A,
SYNOPSIS¶
- SUBROUTINE CHER2
- ( UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA )
- COMPLEX
- ALPHA
- INTEGER
- INCX, INCY, LDA, N
- CHARACTER*1
- UPLO
- COMPLEX
- A( LDA, * ), X( * ), Y( * )
PURPOSE¶
CHER2 performs the hermitian rank 2 operation
where alpha is a scalar, x and y are n element vectors and A is an n by n
hermitian matrix.
PARAMETERS¶
- 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 .
- On entry, ALPHA specifies the scalar alpha. Unchanged on
exit.
- X - COMPLEX array of 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.
- Y - COMPLEX array of dimension at least
- ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the
incremented array Y must contain the n element vector y. Unchanged on
exit.
- INCY - INTEGER.
- On entry, INCY specifies the increment for the elements of
Y. INCY must not be zero. Unchanged on exit.
- A - COMPLEX array of 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 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 imaginary parts of
the diagonal elements need not be set, they are assumed to be zero, and on
exit they are set to zero.
- 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.
Level 2 Blas routine.
-- Written on 22-October-1986. Jack Dongarra, Argonne National Lab. Jeremy
Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard
Hanson, Sandia National Labs.