gerc

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

Syntax

void gerc(queue &exec_queue, std::int64_t m, std::int64_t n, T alpha, buffer<T, 1> &x, std::int64_t incx, buffer<T, 1> &y, std::int64_t incy, buffer<T, 1> &a, std::int64_t lda)

gerc supports the following precisions and devices.

T

Devices Supported

std::complex<float>

Host, CPU, and GPU

std::complex<double>

Host, CPU, and GPU

Description

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

A <- alpha*x*yH + 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.

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 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

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.