Prototype

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

upmtr( const Side side, const char uplo, const VectorAP& ap,
        const VectorTAU& tau, MatrixC& c );

Description

upmtr (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SOPMTR, DOPMTR, CUPMTR, and ZUPMTR. upmtr overwrites the general complex M-by-N matrix C with

SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'C': Q*H * C C * Q*H

where Q is a complex unitary matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of nq-1 elementary reflectors, as returned by ZHPTRD using packed storage:

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

if UPLO = 'L', Q = H(1) H(2) . . . H(nq-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/upmtr.hpp.

Parameters or Requirements on Types

Complexity

Example

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

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also