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tzrzf
Prototype

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

tzrzf( MatrixA& a, VectorTAU& tau );

Description

tzrzf (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines STZRZF, DTZRZF, CTZRZF, and ZTZRZF. tzrzf reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations.

The upper trapezoidal matrix A is factored as

A = ( R 0 ) * Z,

where Z is an N-by-N unitary matrix and R is an M-by-M upper triangular matrix.

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.

Table 1.206. Dispatching of tzrzf

Value type of MatrixA

LAPACK routine

float

STZRZF

double

DTZRZF

complex<float>

CTZRZF

complex<double>

ZTZRZF


Definition

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

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

this will output

[5] 0 1 2 3 4 5

Notes
See Also

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