##### sbgvx

###### Prototype

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

    sbgvx( const char jobz, const char range, MatrixAB& ab, MatrixBB& bb,
            MatrixQ& q, const Scalar >, const Scalar >,
            const int_t il, const int_t iu,
            const Scalar >, int_t& m, VectorW& w, MatrixZ& z,
            VectorIFAIL& ifail );

###### Description

`sbgvx` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSBGVX and DSBGVX. `sbgvx` computes selected eigenvalues, and optionally, eigenvectors of a real generalized symmetric-definite banded eigenproblem, of the form A*x=(lambda)*B*x. Here A and B are assumed to be symmetric and banded, and B is also positive definite. Eigenvalues and eigenvectors can be selected by specifying either all eigenvalues, a range of values or a range of indices for the desired eigenvalues.

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 1.117. Dispatching of sbgvx

Value type of MatrixAB | LAPACK routine
--- | ---
`float` | SSBGVX
`double` | DSBGVX

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files ssbgvx.f and dsbgvx.f at Netlib.