Computes a matrix-vector product using a Hermitian band matrix.
event hbmv(queue &exec_queue, uplo upper_lower, std::int64_t n, std::int64_t k, T alpha, const T *a, std::int64_t lda, const T *x, std::int64_t incx, T beta, T *y, std::int64_t incy, const vector_class<event> &dependencies = {});
The USM version of hbmv supports the following precisions and devices.
T | Devices Supported |
---|---|
std::complex<float> | Host, CPU, and GPU |
std::complex<double> | Host, CPU, and GPU |
The hbmv routines compute a scalar-matrix-vector product and add the result to a scalar-vector product, with a Hermitian band matrix. The operation is defined as
y <- alpha*A*x + beta*y
where:
alpha and beta are scalars,
A is an n-by-n Hermitian band matrix, with k super-diagonals,
x and y are vectors of length n.
The queue where the routine should be executed.
Specifies whether A is upper or lower triangular. See Data Types for more details.
Number of rows and columns of A. Must be at least zero.
Number of super-diagonals of the matrix A. Must be at least zero.
Scaling factor for the matrix-vector product.
Pointer to the input matrix A. The array holding input matrix A must have size at least lda*n. See Matrix and Vector Storage for more details.
Leading dimension of matrix A. Must be at least (k + 1), and positive.
Pointer to input vector x. The array holding input vector x must be of size at least (1 + (m - 1)*abs(incx)). See Matrix and Vector Storage for more details.
Stride of vector x.
Scaling factor for vector y.
Pointer to input/output vector y. The array holding input/output vector y must be of size at least (1 + (n - 1)*abs(incy)). See Matrix and Vector Storage for more details.
Stride of vector y.
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
Pointer to the updated vector y.
Output event to wait on to ensure computation is complete.