Prototype

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

latrd( const int_t nb, MatrixA& a, VectorE& e,
        VectorTAU& tau, MatrixW& w );

Description

latrd (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SLATRD, DLATRD, CLATRD, and ZLATRD. latrd reduces NB rows and columns of a complex Hermitian matrix A to Hermitian tridiagonal form by a unitary similarity transformation Q' * A * Q, and returns the matrices V and W which are needed to apply the transformation to the unreduced part of A.

If UPLO = 'U', latrd reduces the last NB rows and columns of a matrix, of which the upper triangle is supplied; if UPLO = 'L', latrd reduces the first NB rows and columns of a matrix, of which the lower triangle is supplied.

This is an auxiliary routine called by ZHETRD.

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

Definition

Defined in header boost/numeric/bindings/lapack/auxiliary/latrd.hpp.

Parameters or Requirements on Types

Complexity

Example

#include <boost/numeric/bindings/lapack/auxiliary/latrd.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5

Notes

See Also