##### hpgv

###### Prototype

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

    hpgv( const int_t itype, const char jobz, MatrixAP& ap,
            MatrixBP& bp, VectorW& w, MatrixZ& z );

###### Description

`hpgv` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSPGV, DSPGV, CHPGV, and ZHPGV. `hpgv` computes all the eigenvalues and, optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, of the form A*x`(lambda)*B*x, A*Bx`(lambda)*x, or B*A*x=(lambda)*x. Here A and B are assumed to be Hermitian, stored in packed format, and B is also positive definite.

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

Table 1.112. Dispatching of hpgv

Value type of MatrixAP | LAPACK routine
--- | ---
`float` | SSPGV
`double` | DSPGV
`complex<float>` | CHPGV
`complex<double>` | ZHPGV

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sspgv.f, dspgv.f, chpgv.f, and zhpgv.f at Netlib.