##### sbevd

###### Prototype

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

    sbevd( const char jobz, MatrixAB& ab, VectorW& w, MatrixZ& z );

###### Description

`sbevd` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSBEVD and DSBEVD. `sbevd` computes all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A. If eigenvectors are desired, it uses a divide and conquer algorithm.

The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none.

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 1.168. Dispatching of sbevd

Value type of MatrixAB | LAPACK routine
--- | ---
`float` | SSBEVD
`double` | DSBEVD

###### Definition

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

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

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files ssbevd.f and dsbevd.f at Netlib.