C Library Functions - zhemv (3)

NAME

zhemv(3f) - [BLAS:COMPLEX_16_BLAS_LEVEL2]

Synopsis
Definition
Options
Y
Authors
Further Details
See Also

SYNOPSIS

subroutine zhemv(uplo,n,alpha,a,lda,x,incx,beta,y,incy)

      .. Scalar Arguments ..
      complex(kind=real64),intent(in)    :: alpha,beta
      integer,intent(in)                 :: incx,incy,lda,n
      character,intent(in)               :: uplo
      ..
      .. Array Arguments ..
      complex(kind=real64),intent(in)    :: a(lda,*),x(*)
      complex(kind=real64),intent(inout) :: y(*)
      ..

DEFINITION

ZHEMV 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.

OPTIONS

UPLO

UPLO is 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.

N

N is INTEGER On entry, N specifies the order of the matrix A. N must be at least zero.

ALPHA

ALPHA is complex(kind=real64) On entry, ALPHA specifies the scalar alpha.

A

A is complex(kind=real64) array, 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. 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. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.

LDA

LDA is 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 ).

X

X is complex(kind=real64) array, dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.

INCX

INCX is INTEGER On entry, INCX specifies the increment for the elements of X. INCX must not be zero.

BETA

BETA is complex(kind=real64) On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.

Y

Y is complex(kind=real64) array, dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.

INCY

INCY is INTEGER On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.

AUTHORS

o Univ. of Tennessee

o Univ. of California Berkeley

o Univ. of Colorado Denver

o NAG Ltd.
 date:December 2016

FURTHER DETAILS

Level 2 Blas routine. The vector and matrix arguments are not referenced when N = 0, or M = 0
-- 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.