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) =AHAisnxnunit or non-unit, upper or lower triangular band matrixxis a vector of lengthn
trmv supports the following precisions:
T |
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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
Ais upper or lower triangular. See Data Types for more details.- trans
Specifies op(
A), the transposition operation applied to matrixA. See Data Types for more details.- unit_diag
Specifies whether matrix
Ais 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 leastlda*n. See Matrix Storage for more details.- lda
Leading dimension of matrix
A. Must be at leastnand 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
Ais upper or lower triangular. See Data Types for more details.- trans
Specifies op(
A), the transposition operation applied to matrixA. See Data Types for more details.- unit_diag
Specifies whether matrix
Ais 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 matrixAmust be at leastlda*n. See Matrix Storage for more details.- lda
Leading dimension of matrix
A. Must be at leastnand positive.- x
Pointer to input vector
x. Size of the array holding input vectorxmust 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.