# 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>

## gerc (Buffer Version)#

Syntax

namespace oneapi::mkl::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::mkl::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.

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

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::mkl::invalid_argument

oneapi::mkl::unsupported_device

oneapi::mkl::unimplemented

## gerc (USM Version)#

Syntax

namespace oneapi::mkl::blas::column_major {
sycl::event gerc(sycl::queue &queue,
std::int64_t m,
std::int64_t n,
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::mkl::blas::row_major {
sycl::event gerc(sycl::queue &queue,
std::int64_t m,
std::int64_t n,
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.

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.

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.

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.

Output Parameters

a

Pointer to the updated matrix A.

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::mkl::invalid_argument

oneapi::mkl::unsupported_device