her2#
Computes a rank-2 update of a hermitian matrix.
Description#
The her2 routines compute two scalar-vector-vector products and add them to a hermitian matrix. The operation is defined as:
where:
alphais a scalarAisnxnhermitian matrixxandyare vectors or lengthn
her2 supports the following precisions:
T |
|---|
|
|
her2 (Buffer Version)#
Syntax#
namespace oneapi::mkl::blas::column_major {
void her2(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
std::int64_t n,
T alpha,
sycl::buffer<T,1> &x,
std::int64_t incx,
sycl::buffer<T,1> &y,
std::int64_t incy,
sycl::buffer<T,1> &a,
std::int64_t lda)
}
namespace oneapi::mkl::blas::row_major {
void her2(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
std::int64_t n,
T alpha,
sycl::buffer<T,1> &x,
std::int64_t incx,
sycl::buffer<T,1> &y,
std::int64_t incy,
sycl::buffer<T,1> &a,
std::int64_t lda)
}
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.- n
Number of columns of matrix
A. Must be at least zero.- alpha
Scaling factor for the matrix-vector product.
- 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.- y
Buffer holding input/output vector
y. Size of the buffer must be at least (1 + (n- 1)*abs(incy)). See Matrix Storage for more details.- incy
Stride of vector
y. Must not be 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.
Output Parameters#
- a
Buffer holding updated upper triangular part of the hermitian matrix
Aifupper_lower=upper, or updated lower triangular part of the hermitian matrixAifupper_lower=lower.If
alphais zero,Amatrix is unchanged, otherwise imaginary parts of the diagonal elements are set to zero.
her2 (USM Version)#
Syntax#
namespace oneapi::mkl::blas::column_major {
sycl::event her2(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
std::int64_t n,
oneapi::mkl::value_or_pointer<T> alpha,
const T *x,
std::int64_t incx,
const T *y,
std::int64_t incy,
T *a,
std::int64_t lda,
const std::vector<sycl::event> &dependencies = {})
}
namespace oneapi::mkl::blas::row_major {
sycl::event her2(sycl::queue &queue,
oneapi::mkl::uplo upper_lower,
std::int64_t n,
oneapi::mkl::value_or_pointer<T> alpha,
const T *x,
std::int64_t incx,
const T *y,
std::int64_t incy,
T *a,
std::int64_t lda,
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.- n
Number of columns of matrix
A. Must be at least zero.- alpha
Scaling factor for the matrix-vector product. See Scalar Arguments for more information on the
value_or_pointerdata type.- 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.- y
Pointer to input/output vector
y. Size of the array holding input/output vectorymust be at least (1 + (n- 1)*abs(incy)). See Matrix Storage for more details.- incy
Stride of vector
y. Must not be 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.- dependencies
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
Output Parameters#
- a
Pointer to updated upper triangular part of the hermitian matrix
Aifupper_lower=upper, or updated lower triangular part of the hermitian matrixAifupper_lower=lower.If
alphais zero,Amatrix is unchanged, otherwise imaginary parts of the diagonal elements are set to zero.
Return Values#
Output event to wait on to ensure computation is complete.