syr2

Computes a rank-2 update of a symmetric matrix.

Description

The syr2 routines compute two scalar-vector-vector product add them and add the result to a matrix, with a symmetric matrix. The operation is defined as

\[A \leftarrow alpha*x*yT + alpha*y*xT + A\]

where:

  • alpha is a scalar,

  • A is an n-by-n symmetric matrix,

  • x and y are vectors of length n.

API

Syntax

namespace oneapi::mkl::blas::column_major {
    void syr2(sycl::queue &queue,
              onemkl::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 syr2(sycl::queue &queue,
              onemkl::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)
}

syr2 supports the following precisions and devices.

T

Devices Supported

float

Host, CPU, and GPU

double

Host, CPU, and GPU

Input Parameters

exec_queue

The queue where the routine should be executed.

upper_lower

Specifies whether A is upper or lower triangular. See Data Types for more details.

n

Number of 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 and Vector Storage for more details.

incx

Stride of vector x.

y

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

incy

Stride of vector y.

a

Buffer holding input matrix A. Must have size at least lda*n. See Matrix and Vector Storage for more details.

lda

Leading dimension of matrix A. Must be at least n, and positive.

Output Parameters

a

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