Computes a matrix-vector product with a symmetric band matrix.
void sbmv(queue &exec_queue, uplo upper_lower, std::int64_t n, std::int64_t k, T alpha, buffer<T,1> &a, std::int64_t lda, buffer<T,1> &x, std::int64_t incx, T beta, buffer<T,1> &y, std::int64_t incy);
sbmv supports the following precisions and devices.
T | Devices Supported |
---|---|
float | Host, CPU, and GPU |
double | Host, CPU, and GPU |
The sbmv routines compute a scalar-matrix-vector product and add the result to a scalar-vector product, with a symmetric 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 symmetric 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.
Buffer 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.
Buffer holding input vector x. The buffer must be of size at least (1 + (n - 1)*abs(incx)). See Matrix and Vector Storage for more details.
Stride of vector x.
Scaling factor for vector y.
Buffer holding input/output vector y. The buffer must be of size at least (1 + (n - 1)*abs(incy)). See Matrix and Vector Storage for more details.
Stride of vector y.
Buffer holding the updated vector y.