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hbtrd
Prototype

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

hbtrd( const char vect, MatrixAB& ab, VectorD& d, VectorE& e,
        MatrixQ& q );

Description

hbtrd (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SSBTRD, DSBTRD, CHBTRD, and ZHBTRD. hbtrd reduces a complex Hermitian band matrix A to real symmetric tridiagonal form T by a unitary similarity transformation: Q**H * A * Q = T.

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.

Table 1.308. Dispatching of hbtrd

Value type of MatrixAB

LAPACK routine

float

SSBTRD

double

DSBTRD

complex<float>

CHBTRD

complex<double>

ZHBTRD


Definition

Defined in header boost/numeric/bindings/lapack/computational/hbtrd.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/computational/hbtrd.hpp>
using namespace boost::numeric::bindings;

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

this will output

[5] 0 1 2 3 4 5

Notes
See Also

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