Visible to Intel only — GUID: GUID-08D61CE0-0A26-4C70-B541-F70A834EBF32
Visible to Intel only — GUID: GUID-08D61CE0-0A26-4C70-B541-F70A834EBF32
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
A is n x n unit or non-unit, upper or lower triangular band matrix
x is a vector of length n
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 matrix A is upper or lower triangular. See Data Types for more details.
- trans
-
Specifies op(A), the transposition operation applied to matrix A. See Data Types for more details.
- unit_diag
-
Specifies whether matrix A is unit triangular or not. See Data Types for more details.
- n
-
Number of rows and columns of matrix A. Must be at least zero.
- a
-
Buffer holding input matrix A. Size of the buffer must be at least lda * n. See Matrix Storage for more details.
- lda
-
Leading dimension of matrix A. Must be at least n and positive.
- x
-
Buffer holding input vector x. Size of the buffer must be at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.
- incx
-
Stride of vector x. Must not be zero.
Output Parameters
- x
-
Buffer holding updated vector x.
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 matrix A is upper or lower triangular. See Data Types for more details.
- trans
-
Specifies op(A), the transposition operation applied to matrix A. See Data Types for more details.
- unit_diag
-
Specifies whether matrix A is unit triangular or not. See Data Types for more details.
- n
-
Number of rows and columns of matrix A. Must be at least zero.
- a
-
Pointer to input matrix A. Size of the array holding input matrix A must be at least lda * n. See Matrix Storage for more details.
- lda
-
Leading dimension of matrix A. Must be at least n and positive.
- x
-
Pointer to input vector x. Size of the array holding input vector x must be at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.
- incx
-
Stride of vector x. Must not be zero.
- dependencies
-
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
Output Parameters
- x
-
Pointer to updated vector x.
Return Values
Output event to wait on to ensure computation is complete.