spr

Intel® oneAPI Math Kernel Library (oneMKL) - Data Parallel C++ Developer Reference

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ID 772045

Date 12/16/2022

Version

Public

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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;

where:

alpha is scalar
A is n x 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::mkl::blas::column_major {
    void spr(sycl::queue &queue,
             oneapi::mkl::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::mkl::blas::row_major {
    void spr(sycl::queue &queue,
             oneapi::mkl::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 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.
a: Buffer holding input matrix A. Size of the buffer must be at least (n*(n-n))/2. See Matrix Storage for more details.

Output Parameters

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

spr (USM Version)

Syntax

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

namespace oneapi::mkl::blas::row_major {
    sycl::event spr(sycl::queue &queue,
                    oneapi::mkl::uplo upper_lower,
                    std::int64_t n,
                    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 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.
a: Pointer to input matrix A. Size of the array holding input matrix A must be at least (n*(n-n))/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 updated upper triangular part of the symmetric matrix A if upper_lower=upper, or 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.

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Intel® oneAPI Math Kernel Library (oneMKL) - Data Parallel C++ Developer Reference

spr

Description

spr (Buffer Version)

spr (USM Version)