Prototype

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

trsen( const char job, const char compq, const VectorSELECT& select,
        MatrixT& t, MatrixQ& q, VectorW& w, int_t& m, Scalar >,
        Scalar > );

Description

trsen (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines CTRSEN and ZTRSEN. trsen reorders the Schur factorization of a complex matrix A = QT*Q*H, so that a selected cluster of eigenvalues appears in the leading positions on the diagonal of the upper triangular matrix T, and the leading columns of Q form an orthonormal basis of the corresponding right invariant subspace.

Optionally the routine computes the reciprocal condition numbers of the cluster of eigenvalues and/or the invariant subspace.

The selection of the LAPACK routine is done during compile-time, and is determined by the type of values contained in type VectorSELECT. The type of values is obtained through the value_type meta-function typename value_type<VectorSELECT>::type. The dispatching table below illustrates to which specific routine the code path will be generated.

Definition

Defined in header boost/numeric/bindings/lapack/computational/trsen.hpp.

Parameters or Requirements on Types

Complexity

Example

#include <boost/numeric/bindings/lapack/computational/trsen.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also