Solves a system of linear equations whose coefficients are in a triangular matrix.
void trsv(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);
trsv 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 trsv routines compute a matrix-vector product with a triangular band matrix. The operation is defined as
op(A)*x = b
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 matrix,
b and x 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.
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.
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 n, and positive.
Buffer holding the n-element right-hand side vector b. 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 solution vector x.