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Technical Reference: Base Operating System and Extensions , Volume 2
Performs matrix-vector operations
using Hermitian matrices.
BLAS Library
(libblas.a)
SUBROUTINE CHEMV(UPLO, N, ALPHA, A, LDA,
X, INCX, BETA, Y, INCY)
COMPLEX ALPHA, BETA
INTEGER INCX, INCY, LDA, N
CHARACTER*1 UPLO
COMPLEX A(LDA,*), X(*), Y(*)
SUBROUTINE ZHEMV(UPLO, N, ALPHA, A, LDA,
X, INCX, BETA, Y, INCY)
COMPLEX*16 ALPHA,BETA
INTEGER INCX,INCY,LDA,N
CHARACTER*1 UPLO
COMPLEX*16 A(LDA,*), X(*), Y(*)
The CHEMV or
ZHEMV subroutine performs the matrix-vector operation:
y := alpha
* A * x + beta * y
where alpha and beta are scalars,
x and y are N element vectors and A is an N
by N Hermitian matrix.
| UPLO
| 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;
unchanged on exit.
- UPLO = 'L'
or 'l'
- Only the lower triangular part of A is to be referenced;
unchanged on exit.
|
| N
| On entry, N specifies the order of the matrix
A; N must be at least 0; unchanged on exit.
|
| ALPHA
| On entry, ALPHA specifies the scalar alpha; unchanged on
exit.
|
| A
| An array of dimension ( LDA, N ); on 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
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. The
imaginary parts of the diagonal elements need not be set and are assumed to be
0; unchanged on exit.
|
| LDA
| 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.
|
| X
| A vector of dimension at least (1 + (N-1) * abs(
INCX ) ); on entry, the incremented array X must
contain the N element vector x; unchanged on exit.
|
| INCX
| On entry, INCX specifies the increment for the elements of
X; INCX must not be 0; unchanged on
exit.
|
| BETA
| On entry, BETA specifies the scalar beta; when
BETA is supplied as 0 then Y need not be set on
input; unchanged on exit.
|
| Y
| A vector of dimension at least (1 + (N-1) * abs(
INCY ) ); on entry, the incremented array Y must
contain the N element vector y; on exit, Y is
overwritten by the updated vector y.
|
| INCY
| On entry, INCY specifies the increment for the elements of
Y; INCY must not be 0; unchanged on
exit.
|
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