The FORTRAN level-2 BLAS call for this operation is

SUBROUTINE GEMV ( TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

Here is replaced by S, D, C, or Z
to indicate the datatype of the data (single, double, complex, double precision complex).
Parameter TRANS indicates if A
is to be (conjugate) transposed in the operation
and can take on values "No transpose", "Transpose", or "Conjugate transpose".
Parameters M and N hold the matrix dimensions
m and n , respectively.
Parameters ALPHA and BETA hold the scaling factors
and . Parameters A, X, and Y equal the
addresses of where matrix A and vectors x , and y start in
memory. The leading dimensions of the matrix is given in
LDA and the strides for the vectors in INCX and INCY.