AimsSVD< T > Class Template Reference

#include <aims/math/svd.h>

Public Types
enum	SVDReturnType { MatrixOfSingularValues , VectorOfSingularValues }

Public Member Functions
	AimsSVD (SVDReturnType rt=MatrixOfSingularValues)
	Constructor and destructor.
virtual	~AimsSVD ()
	destructor
void	setReturnType (SVDReturnType rt)
carto::VolumeRef< T >	doit (carto::VolumeRef< T > &, carto::VolumeRef< T > *v=NULL)
	Singular Value Decomposition.
void	sort (carto::VolumeRef< T > &, carto::VolumeRef< T > &, carto::VolumeRef< T > *v=NULL)
	sort the U and V matrices and the W vector in decreasing order
carto::VolumeRef< T >	backwardSubstitution (const carto::VolumeRef< T > &U, const carto::VolumeRef< T > &W, const carto::VolumeRef< T > &V, const carto::VolumeRef< T > &S)

Detailed Description

template<class T>
class AimsSVD< T >

Definition at line 58 of file svd.h.

Member Enumeration Documentation

SVDReturnType

template<class T>

enum AimsSVD::SVDReturnType

Enumerator
MatrixOfSingularValues
VectorOfSingularValues

Definition at line 62 of file svd.h.

Constructor & Destructor Documentation

AimsSVD()

template<class T>

AimsSVD< T >::AimsSVD ( SVDReturnType rt = MatrixOfSingularValues )

inline

Constructor and destructor.

constructor

Definition at line 71 of file svd.h.

References MatrixOfSingularValues.

~AimsSVD()

template<class T>

virtual AimsSVD< T >::~AimsSVD ( )

inlinevirtual

destructor

Definition at line 73 of file svd.h.

Member Function Documentation

backwardSubstitution()

template<class T>

carto::VolumeRef< T > AimsSVD< T >::backwardSubstitution	(	const carto::VolumeRef< T > &	U,
		const carto::VolumeRef< T > &	W,
		const carto::VolumeRef< T > &	V,
		const carto::VolumeRef< T > &	S )

doit()

template<class T>

carto::VolumeRef< T > AimsSVD< T >::doit	(	carto::VolumeRef< T > &	,
		carto::VolumeRef< T > *	v = NULL )

Singular Value Decomposition.

\ This function is adapted from the Numerical Recipes in C. \ Returns the diagonal matrix of singular values W of the input matrix if the SVDReturnType is set to MatrixOfSingularValues or a vector of singular values if set to VectorOfSingularValues. \ The first parameter is the input matrix. On output, it is replaced by the (m*n) matrix U. \

Parameters

v	is output as the (n*n) matrix V (and not its transpose!).

Referenced by aims::DiscriminantAnalysisElement::doIt(), aims::ProbabilisticPcaElement::doIt(), AimsPCA::doIt(), aims::PpcaAnalyserElement::newStep2(), and aims::ProbabilisticPcaElement::noiseVariance().

setReturnType()

template<class T>

void AimsSVD< T >::setReturnType ( SVDReturnType rt )

inline

Definition at line 76 of file svd.h.

Referenced by aims::ProbabilisticPcaElement::doIt(), AimsPCA::doIt(), aims::PpcaAnalyserElement::newStep2(), and aims::ProbabilisticPcaElement::noiseVariance().

sort()

template<class T>

void AimsSVD< T >::sort	(	carto::VolumeRef< T > &	,
		carto::VolumeRef< T > &	,
		carto::VolumeRef< T > *	v = NULL )

sort the U and V matrices and the W vector in decreasing order

Referenced by aims::ProbabilisticPcaElement::doIt(), AimsPCA::doIt(), aims::PpcaAnalyserElement::newStep2(), and aims::ProbabilisticPcaElement::noiseVariance().

---

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

• aims/math/svd.h