##### opmtr

###### Prototype

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

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

###### Description

`opmtr` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SOPMTR and DOPMTR. `opmtr` 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 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 DSPTRD 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.

Table 1.312. Dispatching of opmtr

Value type of VectorAP | LAPACK routine
--- | ---
`float` | SOPMTR
`double` | DOPMTR

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sopmtr.f and dopmtr.f at Netlib.