##### hpcon

###### Prototype

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

    hpcon( const MatrixAP& ap, const VectorIPIV& ipiv, const Scalar >,
            Scalar > );

###### Description

`hpcon` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSPCON, DSPCON, CHPCON, and ZHPCON. `hpcon` estimates the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = UD*U*H or A = LD*L*H computed by ZHPTRF.

An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

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 1.256. Dispatching of hpcon

Value type of MatrixAP | LAPACK routine
--- | ---
`float` | SSPCON
`double` | DSPCON
`complex<float>` | CHPCON
`complex<double>` | ZHPCON

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sspcon.f, dspcon.f, chpcon.f, and zhpcon.f at Netlib.