Computes a matrix-vector product using a triangular band matrix.
event tbmv(queue &exec_queue, uplo upper_lower, transpose trans, diag unit_nonunit, std::int64_t n, std::int64_t k, const T *a, std::int64_t lda, T *x, std::int64_t incx, const vector_class<event> &dependencies = {});
The USM version of tbmv supports the following precisions and devices.
T | Devices Supported |
---|---|
float | Host, CPU, and GPU |
double | Host, CPU, and GPU |
std::complex<float> | Host, CPU, and GPU |
std::complex<double> | Host, CPU, and GPU |
The tbmv routines compute a matrix-vector product with a triangular band matrix. The operation is defined as
x <- op(A)*x
where:
op(A) is one of op(A) = A, or op(A) = AT, or op(A) = AH,
A is an n-by-n unit or non-unit, upper or lower triangular band matrix, with (k + 1) diagonals,
x is a vector 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.
Specifies op(A), the transposition operation applied to A. See Data Types for more details.
Specifies whether the matrix A is unit triangular or not. See Data Types for more details.
Numbers of rows and columns of A. Must be at least zero.
Number of sub/super-diagonals of the matrix A. Must be at least zero.
Pointer to 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 + (n - 1)*abs(incx)). See Matrix and Vector Storage for more details.
Stride of vector x.
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
Pointer to the updated vector x.
Output event to wait on to ensure computation is complete.