Computes a rank-1 update of a Hermitian packed matrix.
void hpr(queue &exec_queue, uplo upper_lower, std::int64_t n, T alpha, buffer<T,1> &x, std::int64_t incx, buffer<T,1> &a);
hpr supports the following precisions and devices.
T | Devices Supported |
---|---|
std::complex<float> | Host, CPU, and GPU |
std::complex<double> | Host, CPU, and GPU |
The hpr routines compute a scalar-vector-vector product and add the result to a Hermitian packed matrix. The operation is defined as
A <- alpha*x*xH + A
where:
alpha is scalar,
A is an n-by-n Hermitian matrix, supplied in packed form,
x is a vector of length n.
The queue where the routine should be executed.
Specifies whether A is upper or lower triangular. See Data Types for more details.
Number of rows and columns of A. Must be at least zero.
Scaling factor for the matrix-vector product.
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.
Stride of vector x.
Buffer holding input matrix A. Must have size at least (n*(n-1))/2. See Matrix and Vector Storage for more details.
The imaginary part of the diagonal elements need not be set and are assumed to be zero
Buffer holding the updated upper triangular part of the Hermitian matrix A if upper_lower = upper, or the updated lower triangular part of the Hermitian matrix A if upper_lower = lower.
The imaginary parts of the diagonal elements are set to zero.