hpr

Prototype

There is one prototype of hpr available, please see below.

hpr( const Scalar >, const VectorX& x, MatrixAP& ap );

Description

hpr (short for hermitian, packed, rank-1 update) provides a C++ interface to BLAS routines SSPR, DSPR, CHPR, and ZHPR. hpr performs the hermitian rank 1 operation

A := alpha*x*conjg( x' ) + A,

where alpha is a real scalar, x is an n element vector and A is an n by n hermitian matrix, supplied in packed form.

The selection of the BLAS routine is done during compile-time, and is determined by the type of values contained in type VectorX. The type of values is obtained through the value_type meta-function typename value_type<VectorX>::type. Table X below illustrates to which specific routine this dispatching will take place.

Table 1.54. Dispatching of hpr.

Value type of VectorX	BLAS routine	CBLAS routine	CUBLAS routine
`float`	SSPR	cblas_sspr	cublasSspr
`double`	DSPR	cblas_dspr	Unavailable
`complex<float>`	CHPR	cblas_chpr	cublasChpr
`complex<double>`	ZHPR	cblas_zhpr	Unavailable

The original routines SSPR, DSPR, CHPR, and ZHPR have six arguments, whereas hpr requires three arguments.

Table 1.55. Deduction of arguments of hpr.

Definition

Defined in header boost/numeric/bindings/blas/level2/hpr.hpp.

Parameters or Requirements on Types

Parameters

MatrixA

The definition of term 1

MatrixB

The definition of term 2

MatrixC

The definition of term 3.

Definitions may contain paragraphs.

Complexity

Example

#include <boost/numeric/bindings/blas/level2/hpr.hpp>
using namespace boost::numeric::bindings;

blas::hpr( x, y, z );

this will output

[5] 0 1 2 3 4 5

hpr