Prototype

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

spgvx( const int_t itype, const char jobz, const char range,
        MatrixAP& ap, MatrixBP& bp, const Scalar >, const Scalar >,
        const int_t il, const int_t iu,
        const Scalar >, int_t& m, VectorW& w, MatrixZ& z,
        VectorIFAIL& ifail );

Description

spgvx (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSPGVX and DSPGVX. spgvx computes selected eigenvalues, and optionally, eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x(lambda)*B*x, A*Bx(lambda)*x, or B*A*x=(lambda)*x. Here A and B are assumed to be symmetric, stored in packed storage, and B is also positive definite. Eigenvalues and eigenvectors can be selected by specifying either 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 MatrixAP. The type of values is obtained through the value_type meta-function typename value_type<MatrixAP>::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/spgvx.hpp.

Parameters or Requirements on Types

Complexity

Example

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

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also