lti::pseudoInverseMP< T > Class Template Reference
[Linear Algebra]

This functor calculates the Moore-Penrose Pseudo-Inverse of a matrix. More...

#include <ltiPseudoInverseMP.h>

Inheritance diagram for lti::pseudoInverseMP< T >:

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Collaboration diagram for lti::pseudoInverseMP< T >:

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List of all members.

Classes
class	parameters
	the parameters for the class pseudoInverseMP More...
Public Member Functions
	pseudoInverseMP ()
	pseudoInverseMP (const double &lambda)
	pseudoInverseMP (const pseudoInverseMP< T > &other)
virtual	~pseudoInverseMP ()
virtual const char *	getTypeName () const
matrix< T > &	apply (const matrix< T > &src, matrix< T > &dest) const
matrix< T > &	apply (const matrix< T > &src, const matrix< T > &smooth, matrix< T > &dest) const
pseudoInverseMP< T > &	copy (const pseudoInverseMP< T > &other)
virtual functor *	clone () const
const parameters &	getParameters () const

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Detailed Description

template<class T>
class lti::pseudoInverseMP< T >

This functor calculates the Moore-Penrose Pseudo-Inverse of a matrix.

It is used for solving an over-determined linear equation system according to LMS. The pseudo-inverse of is defined as

For some applications smoothing of this solution is desired. This is achieved through a smoothing Matrix and a (small) factor :

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Constructor & Destructor Documentation

template<class T>

lti::pseudoInverseMP< T >::pseudoInverseMP

(

)

default constructor

template<class T>

lti::pseudoInverseMP< T >::pseudoInverseMP

(

const double &

lambda

)

Creates a new PseudoInverse functor with a smoothing factor given as the argument.

template<class T>

lti::pseudoInverseMP< T >::pseudoInverseMP

(

const pseudoInverseMP< T > &

other

)

copy constructor

Parameters:

other

the object to be copied

template<class T>

virtual lti::pseudoInverseMP< T >::~pseudoInverseMP

(

)

[virtual]

destructor

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Member Function Documentation

template<class T>

matrix<T>& lti::pseudoInverseMP< T >::apply	(	const matrix< T > &	src,
		const matrix< T > &	smooth,
		matrix< T > &	dest
	)			const

Calculates the Moore-Penrose pseudo-inverse with smoothing.

Do not forget to set parameters::lambda to the desired value.

Parameters:

	src	matrix<T> to be inverted
	smooth	matrix<T> used for smoothing
	dest	Moore-Penrose pseudo-inverse of src

Returns:

a reference to dest.

template<class T>

matrix<T>& lti::pseudoInverseMP< T >::apply	(	const matrix< T > &	src,
		matrix< T > &	dest
	)			const

Calculates the Moore-Penrose pseudo-inverse without smoothing.

Parameters:

	src	matrix<T> to be inverted
	dest	Moore-Penrose pseudo-inverse of src

Returns:

a reference to dest.

template<class T>

virtual functor* lti::pseudoInverseMP< T >::clone

(

)

const [virtual]

returns a pointer to a clone of this functor.

Implements lti::functor.

template<class T>

pseudoInverseMP<T>& lti::pseudoInverseMP< T >::copy

(

const pseudoInverseMP< T > &

other

)

copy data of "other" functor.

Parameters:

other

the functor to be copied

Returns:

a reference to this functor object

Reimplemented from lti::functor.

template<class T>

const parameters& lti::pseudoInverseMP< T >::getParameters

(

)

const

returns used parameters

Reimplemented from lti::functor.

template<class T>

virtual const char* lti::pseudoInverseMP< T >::getTypeName

(

)

const [virtual]

returns the name of this type ("pseudoInverseMP")

Reimplemented from lti::linearAlgebraFunctor.

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

• ltiPseudoInverseMP.h