##### ggbak

###### Prototype

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

    ggbak( const char job, const Side side, const int_t ilo,
            const int_t ihi, const VectorLSCALE& lscale,
            const VectorRSCALE& rscale, MatrixV& v );

###### Description

`ggbak` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SGGBAK, DGGBAK, CGGBAK, and ZGGBAK. `ggbak` forms the right or left eigenvectors of a complex generalized eigenvalue problem A*x = lambda*B*x, by backward transformation on the computed eigenvectors of the balanced pair of matrices output by ZGGBAL.

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

Table 1.330. Dispatching of ggbak

Value type of VectorLSCALE | LAPACK routine
--- | ---
`float` | SGGBAK
`double` | DGGBAK
`complex<float>` | CGGBAK
`complex<double>` | ZGGBAK

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sggbak.f, dggbak.f, cggbak.f, and zggbak.f at Netlib.