hpmv#

Computes a matrix-vector product using a Hermitian packed matrix.

Description

The hpmv routines compute a scalar-matrix-vector product and add the result to a scalar-vector product, with a Hermitian packed matrix. The operation is defined as

\[y \leftarrow alpha*A*x + beta*y\]

where:

alpha and beta are scalars,

A is an n-by-n Hermitian matrix supplied in packed form,

x and y are vectors of length n.

hpmv supports the following precisions.

T

std::complex<float>

std::complex<double>

T
`std::complex<float>`
`std::complex<double>`

hpmv (Buffer Version)#

Syntax

namespace oneapi::math::blas::column_major {
    void hpmv(sycl::queue &queue,
              oneapi::math::uplo upper_lower,
              std::int64_t n,
              T alpha,
              sycl::buffer<T,1> &a,
              sycl::buffer<T,1> &x,
              std::int64_t incx,
              T beta,
              sycl::buffer<T,1> &y,
              std::int64_t incy)
}

namespace oneapi::math::blas::row_major {
    void hpmv(sycl::queue &queue,
              oneapi::math::uplo upper_lower,
              std::int64_t n,
              T alpha,
              sycl::buffer<T,1> &a,
              sycl::buffer<T,1> &x,
              std::int64_t incx,
              T beta,
              sycl::buffer<T,1> &y,
              std::int64_t incy)
}

Input Parameters

queue

The queue where the routine should be executed.

upper_lower

Specifies whether A is upper or lower triangular. See oneMath defined datatypes for more details.

n

Number of rows and columns of A. Must be at least zero.

alpha

Scaling factor for the matrix-vector product.

a

Buffer holding input matrix A. Must have size at least (n*(n+1))/2. See Matrix Storage for more details.

The imaginary parts of the diagonal elements need not be set and are assumed to be zero.

x

Buffer holding input vector x. The buffer must be of size at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.

incx

Stride of vector x. Must not be zero.

beta

Scaling factor for vector y.

y

Buffer holding input/output vector y. The buffer must be of size at least (1 + (n - 1)*abs(incy)). See Matrix Storage for more details.

incy

Stride of vector y. Must not be zero.

Output Parameters

y: Buffer holding the updated vector y.

Throws

This routine shall throw the following exceptions if the associated condition is detected. An implementation may throw additional implementation-specific exception(s) in case of error conditions not covered here.

oneapi::math::invalid_argument

oneapi::math::unsupported_device

oneapi::math::host_bad_alloc

oneapi::math::device_bad_alloc

oneapi::math::unimplemented

hpmv (USM Version)#

Syntax

namespace oneapi::math::blas::column_major {
    sycl::event hpmv(sycl::queue &queue,
                     oneapi::math::uplo upper_lower,
                     std::int64_t n,
                     value_or_pointer<T> alpha,
                     const T *a,
                     const T *x,
                     std::int64_t incx,
                     value_or_pointer<T> beta,
                     T *y,
                     std::int64_t incy,
                     const std::vector<sycl::event> &dependencies = {})
}

namespace oneapi::math::blas::row_major {
    sycl::event hpmv(sycl::queue &queue,
                     oneapi::math::uplo upper_lower,
                     std::int64_t n,
                     value_or_pointer<T> alpha,
                     const T *a,
                     const T *x,
                     std::int64_t incx,
                     value_or_pointer<T> beta,
                     T *y,
                     std::int64_t incy,
                     const std::vector<sycl::event> &dependencies = {})
}

Input Parameters

queue

The queue where the routine should be executed.

upper_lower

Specifies whether A is upper or lower triangular. See oneMath defined datatypes for more details.

n

Number of rows and columns of A. Must be at least zero.

alpha

Scaling factor for the matrix-vector product. See Scalar Arguments in BLAS for more details.

a

Pointer to input matrix A. The array holding input matrix A must have size at least (n*(n+1))/2. See Matrix Storage for more details.

The imaginary parts of the diagonal elements need not be set and are assumed to be zero.

x

Pointer to input vector x. The array holding input vector x must be of size at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.

incx

Stride of vector x. Must not be zero.

beta

Scaling factor for vector y. See Scalar Arguments in BLAS for more details.

y

Pointer to input/output vector y. The array holding input/output vector y must be of size at least (1 + (n - 1)*abs(incy)). See Matrix Storage for more details.

incy