TooN::QR_Lapack< Rows, Cols, Precision > Class Template Reference
[Matrix decompositions]

#include <QR_Lapack.h>

List of all members.

Public Member Functions
const Vector< Cols, int > &	get_P ()
const Matrix< square_Size, square_Size, Precision, ColMajor > &	get_Q ()
	Return Q.
const Matrix< Rows, Cols, Precision, ColMajor > &	get_R ()
	Return R.
template<int R, int C, class P , class B >
	QR_Lapack (const Matrix< R, C, P, B > &m, bool p=0)
Private Member Functions
void	compute ()
int	square_size ()
Private Attributes
Matrix< Rows, Cols, Precision, ColMajor >	copy
bool	do_pivoting
Vector< Cols, int >	pivot
Matrix< square_Size, square_Size, Precision, ColMajor >	Q
Vector< square_Size, Precision >	tau
Static Private Attributes
static const int	square_Size = (Rows>=0 && Cols>=0)?(Rows<Cols?Rows:Cols):Dynamic

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Detailed Description

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>
class TooN::QR_Lapack< Rows, Cols, Precision >

Performs QR decomposition.

Warning:

this will only work if the number of columns is greater than the number of rows!

The QR decomposition operates on a matrix A. It can be performed with or without column pivoting. In general:

Where is a permutation matrix constructed to permute the columns of A. In practise, is stored as a vector of integer elements.

With column pivoting, the elements of the leading diagonal of will be sorted from largest in magnitude to smallest in magnitude.

Definition at line 31 of file QR_Lapack.h.

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Constructor & Destructor Documentation

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

template<int R, int C, class P , class B >

TooN::QR_Lapack< Rows, Cols, Precision >::QR_Lapack	(	const Matrix< R, C, P, B > &	m,
		bool	p = 0
	)			[inline]

Construct the QR decomposition of a matrix. This initialises the class, and performs the decomposition immediately.

Parameters:

	m	The matrix to decompose
	p	Whether or not to perform pivoting

Definition at line 42 of file QR_Lapack.h.

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Member Function Documentation

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

void TooN::QR_Lapack< Rows, Cols, Precision >::compute

(

)

[inline, private]

Definition at line 72 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

const Vector<Cols, int>& TooN::QR_Lapack< Rows, Cols, Precision >::get_P

(

)

[inline]

Return the permutation vector. The definition is that column of A is column of .

Definition at line 65 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

const Matrix<square_Size, square_Size, Precision, ColMajor>& TooN::QR_Lapack< Rows, Cols, Precision >::get_Q

(

)

[inline]

Return Q.

Definition at line 58 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

const Matrix<Rows, Cols, Precision, ColMajor>& TooN::QR_Lapack< Rows, Cols, Precision >::get_R

(

)

[inline]

Return R.

Definition at line 52 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

int TooN::QR_Lapack< Rows, Cols, Precision >::square_size

(

)

[inline, private]

Definition at line 139 of file QR_Lapack.h.

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Member Data Documentation

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

Matrix<Rows, Cols, Precision, ColMajor> TooN::QR_Lapack< Rows, Cols, Precision >::copy [private]

Definition at line 132 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

bool TooN::QR_Lapack< Rows, Cols, Precision >::do_pivoting [private]

Definition at line 137 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

Vector<Cols, int> TooN::QR_Lapack< Rows, Cols, Precision >::pivot [private]

Definition at line 135 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

Matrix<square_Size, square_Size, Precision, ColMajor> TooN::QR_Lapack< Rows, Cols, Precision >::Q [private]

Definition at line 133 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

const int TooN::QR_Lapack< Rows, Cols, Precision >::square_Size = (Rows>=0 && Cols>=0)?(Rows<Cols?Rows:Cols):Dynamic [static, private]

Definition at line 34 of file QR_Lapack.h.

template<int Rows = Dynamic, int Cols = Rows, class Precision = double>

Vector<square_Size, Precision> TooN::QR_Lapack< Rows, Cols, Precision >::tau [private]

Definition at line 134 of file QR_Lapack.h.

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

• QR_Lapack.h