Prototype

There is one prototype of hbevd available, please see below.

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

Description

hbevd (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSBEVD, DSBEVD, CHBEVD, and ZHBEVD. hbevd computes all the eigenvalues and, optionally, eigenvectors of a complex Hermitian 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.

Definition

Defined in header boost/numeric/bindings/lapack/driver/hbevd.hpp.

Parameters or Requirements on Types

Complexity

Example

#include <boost/numeric/bindings/lapack/driver/hbevd.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also