Prototype

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

hbgvx( const char jobz, const char range, MatrixAB& ab, MatrixBB& bb,
        MatrixQ& q, const Scalar >, const Scalar >,
        const int_t il, const int_t iu,
        const Scalar >, int_t& m, VectorW& w, MatrixZ& z,
        VectorIFAIL& ifail );

Description

hbgvx (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSBGVX, DSBGVX, CHBGVX, and ZHBGVX. hbgvx computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite banded eigenproblem, of the form A*x=(lambda)*B*x. Here A and B are assumed to be Hermitian and banded, and B is also positive definite. Eigenvalues and eigenvectors can be selected by specifying either all eigenvalues, a range of values or a range of indices for the desired eigenvalues.

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/hbgvx.hpp.

Parameters or Requirements on Types

Complexity

Example

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

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also