unmrq

Prototype

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

unmrq( const Side side, const int_t k, const MatrixA& a,
        const VectorTAU& tau, MatrixC& c );

Description

unmrq (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SORMRQ, DORMRQ, CUNMRQ, and ZUNMRQ. unmrq 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 defined as the product of k elementary reflectors

Q = H(1)' H(2)' . . . H(k)'

as returned by ZGERQF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.

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

Table 1.214. Dispatching of unmrq

Value type of MatrixA	LAPACK routine
`float`	SORMRQ
`double`	DORMRQ
`complex<float>`	CUNMRQ
`complex<double>`	ZUNMRQ

Definition

Defined in header boost/numeric/bindings/lapack/computational/unmrq.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/lapack/computational/unmrq.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5