Prototype

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

upgtr( const char uplo, const VectorAP& ap, const VectorTAU& tau,
        MatrixQ& q );

Description

upgtr (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SOPGTR, DOPGTR, CUPGTR, and ZUPGTR. upgtr generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by ZHPTRD using packed storage:

if UPLO = 'U', Q = H(n-1) . . . H(2) H(1),

if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).

The selection of the LAPACK routine is done during compile-time, and is determined by the type of values contained in type VectorAP. The type of values is obtained through the value_type meta-function typename value_type<VectorAP>::type. The dispatching table below illustrates to which specific routine the code path will be generated.

Definition

Defined in header boost/numeric/bindings/lapack/computational/upgtr.hpp.

Parameters or Requirements on Types

Complexity

Example

#include <boost/numeric/bindings/lapack/computational/upgtr.hpp>
using namespace boost::numeric::bindings;

lapack::upgtr( x, y, z );

this will output

[5] 0 1 2 3 4 5

Notes

See Also