gnsstk::Householder< T > Class Template Reference

Detailed Description

template<class T>
class gnsstk::Householder< T >

Definition at line 745 of file MatrixFunctors.hpp.

#include <MatrixFunctors.hpp>

Public Member Functions
	Householder ()
template<class BaseClass >
void	operator() (const ConstMatrixBase< T, BaseClass > &m)

Public Attributes
Matrix< T >	A
	The upper triangular transformed matrix. More...

Constructor & Destructor Documentation

Householder()

template<class T >

gnsstk::Householder< T >::Householder ( )

inline

Definition at line 748 of file MatrixFunctors.hpp.

Member Function Documentation

operator()()

template<class T >

template<class BaseClass >

void gnsstk::Householder< T >::operator() ( const ConstMatrixBase< T, BaseClass > &  m )

inline

Explicitly perform the transformation, one column at a time, without actually constructing the transformation matrix. Let y be column k of the input matrix. y can be zeroed below the diagonal as follows: let sum=sign(y(k))*sqrt(y*y), and define vector u(k)=y(k)+sum, u(j)=y(j) (j.gt.k). This defines the transformation matrix as (1-bu*u), with b=2/u*u=1/sum*u(k). Redefine y(k)=u(k) and apply the transformation to elements of the input matrix below and to the right of the (k,k) element. This algorithm for each column k=0,n-1 in turn is equivalent to a single orthogonal transformation which triangularizes the matrix.

Exceptions

MatrixException

Definition at line 765 of file MatrixFunctors.hpp.

Member Data Documentation

A

template<class T >

Matrix<T> gnsstk::Householder< T >::A

The upper triangular transformed matrix.

Definition at line 811 of file MatrixFunctors.hpp.

---

The documentation for this class was generated from the following file:

• MatrixFunctors.hpp