spr

Performs a rank-1 update of a symmetric packed matrix.

Description

The spr routines compute a scalar-vector-vector product and add the result to a symmetric packed matrix. The operation is defined as:

\[A \leftarrow alpha*x*x^T + A\]

where:

alpha is scalar,

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

x is a vector of length n.

spr supports the following precisions.

T
float
double

spr (Buffer Version)

Syntax

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

namespace oneapi::math::blas::row_major {
    void spr(sycl::queue &queue,
             oneapi::math::uplo upper_lower,
             std::std::int64_t n,
             T 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 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.

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.

a

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

Output Parameters

a

Buffer holding the updated upper triangular part of the symmetric matrix A if upper_lower=upper, or the updated lower triangular part of the symmetric matrix A if upper_lower=lower.

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

spr (USM Version)

Syntax

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

namespace oneapi::math::blas::row_major {
    sycl::event spr(sycl::queue &queue,
                    oneapi::math::uplo upper_lower,
                    std::int64_t n,
                    value_or_pointer<T> 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 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.

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.

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.

dependencies

List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.

Output Parameters

a

Pointer to the updated upper triangular part of the symmetric matrix A if upper_lower=upper, or the updated lower triangular part of the symmetric matrix A if upper_lower=lower.

Return Values

Output event to wait on to ensure computation is complete.

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

Parent topic: BLAS Level 2 Routines