##### hbtrd

###### Prototype

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

    hbtrd( const char vect, MatrixAB& ab, VectorD& d, VectorE& e,
            MatrixQ& q );

###### Description

`hbtrd` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSBTRD, DSBTRD, CHBTRD, and ZHBTRD. `hbtrd` reduces a complex Hermitian band matrix A to real symmetric tridiagonal form T by a unitary similarity transformation: Q**H * A * Q = T.

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

Table 1.308. Dispatching of hbtrd

Value type of MatrixAB | LAPACK routine
--- | ---
`float` | SSBTRD
`double` | DSBTRD
`complex<float>` | CHBTRD
`complex<double>` | ZHBTRD

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files ssbtrd.f, dsbtrd.f, chbtrd.f, and zhbtrd.f at Netlib.