Visible to Intel only — GUID: GUID-26EBF797-AE95-4041-833B-548D533D7623
Visible to Intel only — GUID: GUID-26EBF797-AE95-4041-833B-548D533D7623
hpr
Computes a rank-1 update of a hermitian packed matrix.
Description
The hpr routines compute a scalar-vector-vector product and add the result to a hermitian packed matrix. The operation is defined as:
where:
alpha is scalar
A is n x n hermitian matrix, supplied in packed form
x is a vector of length n
hpr supports the following precisions:
T |
Treal |
---|---|
std::complex<float> |
float |
std::complex<double> |
double |
hpr (Buffer Version)
Syntax
namespace oneapi::mkl::blas::column_major { void hpr(sycl::queue &queue, oneapi::mkl::uplo upper_lower, std::int64_t n, Treal alpha, sycl::buffer<T,1> &x, std::int64_t incx, sycl::buffer<T,1> &a) }
namespace oneapi::mkl::blas::row_major { void hpr(sycl::queue &queue, oneapi::mkl::uplo upper_lower, std::int64_t n, Treal alpha, sycl::buffer<T,1> &x, std::int64_t incx, sycl::buffer<T,1> &a) }
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.
- n
-
Number of rows and 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.
- a
-
Buffer holding input matrix A. Size of the buffer must be at least (n*(n-1))/2. See Matrix Storage for more details.
The imaginary parts of the diagonal elements do not need to be set and are assumed to be zero.
Output Parameters
- a
-
Buffer holding updated upper triangular part of the hermitian matrix A if upper_lower=upper, or updated lower triangular part of the hermitian matrix A if upper_lower=lower.
The imaginary parts of the diagonal elements are set to zero.
hpr (USM Version)
Syntax
namespace oneapi::mkl::blas::column_major { sycl::event hpr(sycl::queue &queue, oneapi::mkl::uplo upper_lower, std::int64_t n, Treal alpha, const T *x, std::int64_t incx, T *a, const std::vector<sycl::event> &dependencies = {}) }
namespace oneapi::mkl::blas::row_major { sycl::event hpr(sycl::queue &queue, oneapi::mkl::uplo upper_lower, std::int64_t n, Treal alpha, const T *x, std::int64_t incx, T *a, 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.
- n
-
Number of rows and columns of matrix A. Must be at least zero.
- alpha
-
Scaling factor for the matrix-vector product.
- 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.
- a
-
Pointer to input matrix A. Size of the array holding input matrix A must be at least (n*(n-1))/2. See Matrix Storage for more details.
The imaginary parts of the diagonal elements do not need to be set and are assumed to be zero.
- 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 A if upper_lower=upper, or updated lower triangular part of the hermitian matrix A if upper_lower=lower.
The imaginary parts of the diagonal elements are set to zero.
Return Values
Output event to wait on to ensure computation is complete.