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hpgv
Prototype

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

hpgv( const int_t itype, const char jobz, MatrixAP& ap,
        MatrixBP& bp, VectorW& w, MatrixZ& z );

Description

hpgv (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSPGV, DSPGV, CHPGV, and ZHPGV. hpgv computes all the eigenvalues and, optionally, the eigenvectors of a complex generalized Hermitian-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 Hermitian, stored in packed format, and B is also positive definite.

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.

Table 1.112. Dispatching of hpgv

Value type of MatrixAP

LAPACK routine

float

SSPGV

double

DSPGV

complex<float>

CHPGV

complex<double>

ZHPGV


Definition

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

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

this will output

[5] 0 1 2 3 4 5

Notes
See Also

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