gerc#

Computes a rank-1 update (conjugated) of a general complex matrix.

Description

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

\[A \leftarrow alpha*x*y^H + A\]

where:

alpha is a scalar,

A is an m-by-n matrix,

x is a vector of length m,

y is vector of length n.

gerc supports the following precisions.

T

std::complex<float>

std::complex<double>

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

gerc (Buffer Version)#

Syntax

namespace oneapi::math::blas::column_major {
    void gerc(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::math::blas::row_major {
    void gerc(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)
}

Input Parameters

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. Must not be zero.
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.
a: Buffer 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. See Matrix Storage for more details.
lda: Leading dimension of matrix A. 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.

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

gerc (USM Version)#

Syntax

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

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

Input Parameters

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. See Scalar Arguments in BLAS for more details.
x: Pointer to the input vector x. The array holding input vector x must be of size at least (1 + (m - 1)*abs(incx)). See Matrix Storage for more details.
incx: Stride of vector x. Must not be zero.
y: Pointer to the input/output vector y. The array holding the input/output vector y 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.
a: Pointer to input matrix A. The array holding input matrix Amust have size at least lda*n if column major layout is used or at least lda*m if row major layout is used. See Matrix Storage for more details.
lda: Leading dimension of matrix A. Must be positive and at least m if column major layout is used or at least n if row major layout is used.
dependencies: List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.