##### hptrf

###### Prototype

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

    hptrf( MatrixAP& ap, VectorIPIV& ipiv );

###### Description

`hptrf` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSPTRF, DSPTRF, CHPTRF, and ZHPTRF. `hptrf` computes the factorization of a complex Hermitian packed matrix A using the Bunch-Kaufman diagonal pivoting method:

A = UD*U*H or A = LD*L*H

where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and D is Hermitian and block diagonal with 1-by-1 and 2-by-2 diagonal blocks.

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 1.258. Dispatching of hptrf

Value type of MatrixAP | LAPACK routine
--- | ---
`float` | SSPTRF
`double` | DSPTRF
`complex<float>` | CHPTRF
`complex<double>` | ZHPTRF

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files ssptrf.f, dsptrf.f, chptrf.f, and zhptrf.f at Netlib.