##### ormrq

###### Prototype

There is one prototype of `ormrq` available, please see below.

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

###### Description

`ormrq` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SORMRQ and DORMRQ. `ormrq` overwrites the general real M-by-N matrix C with

SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q*T * C C * Q*T

where Q is a real orthogonal matrix defined as the product of k elementary reflectors

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

as returned by DGERQF. 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 1.204. Dispatching of ormrq

Value type of MatrixA | LAPACK routine
--- | ---
`float` | SORMRQ
`double` | DORMRQ

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sormrq.f and dormrq.f at Netlib.