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[section ggbak]

[heading 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 );
``


[heading 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 Dispatching of ggbak
[  [ Value type of VectorLSCALE ] [LAPACK routine] ]
[  [`float`][SGGBAK] ]
[  [`double`][DGGBAK] ]
[  [`complex<float>`][CGGBAK] ]
[  [`complex<double>`][ZGGBAK] ]

]


[heading Definition]
Defined in header [headerref boost/numeric/bindings/lapack/computational/ggbak.hpp].


[heading Parameters or Requirements on Types]

[variablelist Parameters
    [[MatrixA] [The definition of term 1]]
    [[MatrixB] [The definition of term 2]]
    [[MatrixC] [
    The definition of term 3.

    Definitions may contain paragraphs.
    ]]
]


[heading Complexity]


[heading 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
``



[heading Notes]


[heading See Also]

* Originating Fortran source files [@http://www.netlib.org/lapack/single/sggbak.f sggbak.f], [@http://www.netlib.org/lapack/double/dggbak.f dggbak.f], [@http://www.netlib.org/lapack/complex/cggbak.f cggbak.f], and [@http://www.netlib.org/lapack/complex16/zggbak.f zggbak.f] at Netlib.

[endsect]
