##### unmtr

###### Prototype

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

    unmtr( const Side side, const MatrixA& a, const VectorTAU& tau,
            MatrixC& c );

###### Description

`unmtr` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SORMTR, DORMTR, CUNMTR, and ZUNMTR. `unmtr` 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 ZHETRD:

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 `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 1.327. Dispatching of unmtr

Value type of MatrixA | LAPACK routine
--- | ---
`float` | SORMTR
`double` | DORMTR
`complex<float>` | CUNMTR
`complex<double>` | ZUNMTR

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sormtr.f, dormtr.f, cunmtr.f, and zunmtr.f at Netlib.