Computes a matrix-vector product using a triangular band matrix.
void tbmv(queue &exec_queue, uplo upper_lower, transpose trans, diag unit_nonunit, std::int64_t n, std::int64_t k, buffer<T,1> &a, std::int64_t lda, buffer<T,1> &x, std::int64_t incx);
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.
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.
Buffer holding the updated vector x.