##### hpsv

###### Prototype

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

    hpsv( MatrixAP& ap, VectorIPIV& ipiv, MatrixB& b );

###### Description

`hpsv` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSPSV, DSPSV, CHPSV, and ZHPSV. `hpsv` computes the solution to a complex system of linear equations A * X = B, where A is an N-by-N Hermitian matrix stored in packed format and X and B are N-by-NRHS matrices.

The diagonal pivoting method is used to factor A as A = U * D * U*H, if UPLO = 'U', or A = L * D * L*H, if UPLO = 'L', where U (or L) is a product of permutation and unit upper (lower) triangular matrices, D is Hermitian and block diagonal with 1-by-1 and 2-by-2 diagonal blocks. The factored form of A is then used to solve the system of equations A * X = B.

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 1.135. Dispatching of hpsv

Value type of MatrixAP | LAPACK routine
--- | ---
`float` | SSPSV
`double` | DSPSV
`complex<float>` | CHPSV
`complex<double>` | ZHPSV

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files sspsv.f, dspsv.f, chpsv.f, and zhpsv.f at Netlib.