##### hesv

###### Prototype

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

    hesv( MatrixA& a, VectorIPIV& ipiv, MatrixB& b );

###### Description

`hesv` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSYSV, DSYSV, CHESV, and ZHESV. `hesv` computes the solution to a complex system of linear equations A * X = B, where A is an N-by-N Hermitian matrix 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, and 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 `MatrixA`. The type of values is obtained through the `value_type` meta-function `typename value_type<MatrixA>::type`. The dispatching table below illustrates to which specific routine the code path will be generated.

Table 1.133. Dispatching of hesv

Value type of MatrixA | LAPACK routine
--- | ---
`float` | SSYSV
`double` | DSYSV
`complex<float>` | CHESV
`complex<double>` | ZHESV

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files ssysv.f, dsysv.f, chesv.f, and zhesv.f at Netlib.