vnl_qr< T > Class Template Reference

#include <vnl_qr.h>

List of all members.

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Detailed Description

template<class T>
class vnl_qr< T >

Extract the Q*R decomposition of matrix M.

The decomposition is stored in a compact and time-efficient packed form, which is most easily used via the "solve" and "determinant" methods.

Definition at line 36 of file vnl_qr.h.

Public Member Functions
	vnl_qr (vnl_matrix< T > const &M)
	~vnl_qr ()
vnl_matrix< T >	inverse () const
	return the inverse matrix of M.
vnl_matrix< T >	tinverse () const
	return the transpose of the inverse matrix of M.
vnl_matrix< T >	recompose () const
	return the original matrix M.
vnl_matrix< T >	solve (const vnl_matrix< T > &rhs) const
	Solve equation M x = rhs for x using the computed decomposition.
vnl_vector< T >	solve (const vnl_vector< T > &rhs) const
	Solve equation M x = rhs for x using the computed decomposition.
T	determinant () const
	Return the determinant of M. This is computed from M = Q R as follows:.
vnl_matrix< T > const &	Q () const
	Unpack and return unitary part Q.
vnl_matrix< T > const &	R () const
	Unpack and return R.
vnl_vector< T >	QtB (const vnl_vector< T > &b) const
	Return residual vector d of M x = b -> d = Q'b.
void	extract_q_and_r (vnl_matrix< T > *q, vnl_matrix< T > *r) const
Private Member Functions
	vnl_qr (const vnl_qr< T > &)
void	operator= (const vnl_qr< T > &)
Private Attributes
vnl_matrix< T >	qrdc_out_
vnl_vector< T >	qraux_
vnl_vector< long >	jpvt_
vnl_matrix< T > *	Q_
vnl_matrix< T > *	R_

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Constructor & Destructor Documentation

template<class T> vnl_qr< T >::vnl_qr (  vnl_matrix< T > const &  M  )

Definition at line 34 of file vnl_qr.txx.

template<class T> vnl_qr< T >::~vnl_qr (   )

Definition at line 63 of file vnl_qr.txx.

template<class T> vnl_qr< T >::vnl_qr (  const vnl_qr< T > &   )  [inline, private]

Definition at line 77 of file vnl_qr.h.

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Member Function Documentation

template<class T> T vnl_qr< T >::determinant (   )  const

Return the determinant of M. This is computed from M = Q R as follows:. |M| = |Q| |R|. |R| is the product of the diagonal elements. |Q| is (-1)^n as it is a product of Householder reflections. So det = -prod(-r_ii). Definition at line 75 of file vnl_qr.txx.

template<class T> void vnl_qr< T >::extract_q_and_r (  vnl_matrix< T > *  q, vnl_matrix< T > *  r )  const [inline]

Definition at line 67 of file vnl_qr.h.

template<class T> vnl_matrix< T > vnl_qr< T >::inverse (   )  const

return the inverse matrix of M. Definition at line 248 of file vnl_qr.txx.

template<class T> void vnl_qr< T >::operator= (  const vnl_qr< T > &   )  [inline, private]

Definition at line 78 of file vnl_qr.h.

template<class T> vnl_matrix< T > const & vnl_qr< T >::Q (   )  const

Unpack and return unitary part Q. Definition at line 88 of file vnl_qr.txx.

template<class T> vnl_vector< T > vnl_qr< T >::QtB (  const vnl_vector< T > &  b  )  const

Return residual vector d of M x = b -> d = Q'b. Definition at line 217 of file vnl_qr.txx.

template<class T> vnl_matrix< T > const & vnl_qr< T >::R (   )  const

Unpack and return R. Definition at line 153 of file vnl_qr.txx.

template<class T> vnl_matrix< T > vnl_qr< T >::recompose (   )  const

return the original matrix M. Definition at line 173 of file vnl_qr.txx.

template<class T> vnl_vector< T > vnl_qr< T >::solve (  const vnl_vector< T > &  rhs  )  const

Solve equation M x = rhs for x using the computed decomposition. Definition at line 186 of file vnl_qr.txx.

template<class T> vnl_matrix< T > vnl_qr< T >::solve (  const vnl_matrix< T > &  rhs  )  const

Solve equation M x = rhs for x using the computed decomposition. Definition at line 286 of file vnl_qr.txx.

template<class T> vnl_matrix< T > vnl_qr< T >::tinverse (   )  const

return the transpose of the inverse matrix of M. Definition at line 267 of file vnl_qr.txx.

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Member Data Documentation

template<class T> vnl_vector<long> vnl_qr< T >::jpvt_ [private]

Definition at line 72 of file vnl_qr.h.

template<class T> vnl_matrix<T>* vnl_qr< T >::Q_ [private]

Definition at line 73 of file vnl_qr.h.

template<class T> vnl_vector<T> vnl_qr< T >::qraux_ [private]

Definition at line 71 of file vnl_qr.h.

template<class T> vnl_matrix<T> vnl_qr< T >::qrdc_out_ [private]

Definition at line 70 of file vnl_qr.h.

template<class T> vnl_matrix<T>* vnl_qr< T >::R_ [private]

Definition at line 74 of file vnl_qr.h.

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

• core/vnl/algo/vnl_qr.h
• core/vnl/algo/vnl_qr.txx

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