ger

Computes a rank-1 update of a general matrix.

Description

The ger routines compute a scalar-vector-vector product and add the result to a general matrix. The operation is defined as

A \leftarrow alpha*x*yT + A

where:

  • alpha is scalar,

  • A is an m-by-n matrix,

  • x is a vector length m,

  • y is a vector length n.

API

Syntax

namespace oneapi::mkl::blas::column_major {
    void ger(sycl::queue &queue,
             std::int64_t m,
             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 ger(sycl::queue &queue,
             std::int64_t m,
             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)
}

ger 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.

m

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

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 + (m - 1)*abs(incx)). See Matrix 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 Storage for more details.

incy

Stride of vector y.

a

The array holding input matrix A must have size at least lda*n if column major layout is used, or at least lda*m if row major layout is used.

lda

Leading dimension of matrix A. It must be positive and at least m if column major layout is used or at least n if row major layout is used.

Output Parameters

a

Buffer holding the updated matrix A.