##### pbtrs

###### Prototype

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

    pbtrs( const MatrixAB& ab, MatrixB& b );

###### Description

`pbtrs` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SPBTRS, DPBTRS, CPBTRS, and ZPBTRS. `pbtrs` solves a system of linear equations AX = B with a Hermitian positive definite band matrix A using the Cholesky factorization A = U*H*U or A = LL*H computed by ZPBTRF.

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

Table 1.265. Dispatching of pbtrs

Value type of MatrixAB | LAPACK routine
--- | ---
`float` | SPBTRS
`double` | DPBTRS
`complex<float>` | CPBTRS
`complex<double>` | ZPBTRS

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files spbtrs.f, dpbtrs.f, cpbtrs.f, and zpbtrs.f at Netlib.