trmv
Computes a matrix-vector product using a triangular matrix.
Description
The
trmv
routines compute a matrix-vector product with a triangular
matrix. The operation is defined as:
where:
- op(A) is one of op(A) =A, or op(A) =AT, or op(A) =AH
- Aisnxnunit or non-unit, upper or lower triangular band matrix
- xis a vector of lengthn
trmv
supports the following precisions:T |
---|
float |
double |
std::complex<float> |
std::complex<double> |
trmv (Buffer Version)
Syntax
namespace oneapi::mkl::blas::column_major {
void trmv(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t n,
sycl::buffer<T,1> &a,
std::int64_t lda,
sycl::buffer<T,1> &x,
std::int64_t incx)
}
namespace oneapi::mkl::blas::row_major {
void trmv(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t n,
sycl::buffer<T,1> &a,
std::int64_t lda,
sycl::buffer<T,1> &x,
std::int64_t incx)
}
Input Parameters
- queue
- The queue where the routine should be executed.
- upper_lower
- Specifies whether matrixAis upper or lower triangular. See Data Types for more details.
- trans
- unit_diag
- Specifies whether matrixAis unit triangular or not. See Data Types for more details.
- n
- Number of rows and columns of matrixA. Must be at least zero.
- a
- Buffer holding input matrixA. Size of the buffer must be at leastlda*n. See Matrix Storage for more details.
- lda
- Leading dimension of matrixA. Must be at leastnand positive.
- x
- Buffer holding input vectorx. Size of the buffer must be at least (1 + (n- 1)*abs(incx)). See Matrix Storage for more details.
- incx
- Stride of vectorx.
Output Parameters
- x
- Buffer holding updated vectorx.
trmv (USM Version)
Syntax
namespace oneapi::mkl::blas::column_major {
sycl::event trmv(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t n,
const T *a,
std::int64_t lda,
T *x,
std::int64_t incx,
const std::vector<sycl::event> &dependencies = {})
}
namespace oneapi::mkl::blas::row_major {
sycl::event trmv(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
oneapi::mkl::transpose trans,
oneapi::mkl::diag unit_diag,
std::int64_t n,
const T *a,
std::int64_t lda,
T *x,
std::int64_t incx,
const std::vector<sycl::event> &dependencies = {})
}
Input Parameters
- queue
- The queue where the routine should be executed.
- upper_lower
- Specifies whether matrixAis upper or lower triangular. See Data Types for more details.
- trans
- unit_diag
- Specifies whether matrixAis unit triangular or not. See Data Types for more details.
- n
- Number of rows and columns of matrixA. Must be at least zero.
- a
- Pointer to input matrixA. Size of the array holding input matrixAmust be at leastlda*n. See Matrix Storage for more details.
- lda
- Leading dimension of matrixA. Must be at leastnand positive.
- x
- Pointer to input vectorx. Size of the array holding input vectorxmust be at least (1 + (n- 1)*abs(incx)). See Matrix Storage for more details.
- incx
- Stride of vectorx.
- dependencies
- List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
Output Parameters
- x
- Pointer to updated vectorx.
Return Values
Output event to wait on to ensure computation is complete.