lti::qrSolution< T > Class Template Reference

QR solution functor. More...

#include <ltiEquationSystem.h>

Inheritance diagram for lti::qrSolution< T >:

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List of all members.

Classes
class	parameters
	qrSolution parameter class More...
Public Member Functions
	qrSolution ()
	qrSolution (const parameters &theParams)
	qrSolution (const matrix< T > &theMatrix)
const parameters &	getParameters () const
double	apply (vector< T > &b)
double	apply (const vector< T > &b, vector< T > &x)
qrSolution &	copy (const qrSolution &other)
virtual functor *	clone () const
virtual const char *	getTypeName () const

Detailed Description

template<class T>
class lti::qrSolution< T >

QR solution functor.

Solves the linear equation Ax=b as a least-squares problem using QR decomposition A=QR (Householder transformation) of the given (m,n)-matrix A.

See also:: decompositionSolution::parameters

Constructor & Destructor Documentation

template<class T >

lti::qrSolution< T >::qrSolution ( ) [inline]

default constructor

References lti::functor::setParameters().

template<class T >

lti::qrSolution< T >::qrSolution ( const parameters & theParams ) [inline]

constructor, sets the parameters

template<class T >

lti::qrSolution< T >::qrSolution ( const matrix< T > & theMatrix ) [inline]

constructor, sets the matrix A

References lti::functor::setParameters().

Member Function Documentation

template<class T >

double lti::qrSolution< T >::apply	(	const vector< T > &	b,
		vector< T > &	x
	)

onCopy version of apply.

Solves the least-squares problem Ax=b and returns the residuum if computeResiduum==true.

WARNING: For use with multiple right sides b of a set of equation systems Ax=b, the matrix decomposition is computed only on calling apply() the first time. After that the existing decomposition will be used until calling setParameters().

template<class T >

double lti::qrSolution< T >::apply ( vector< T > & b )

onPlace version of apply.

Solves the least-squares problem Ax=b and returns the residuum if computeResiduum==true.

WARNING: For use with multiple right sides b of a set of equation systems Ax=b, the matrix decomposition is computed only on calling apply() the first time. After that the existing decomposition will be used until calling setParameters().

template<class T >

virtual functor* lti::qrSolution< T >::clone ( ) const [inline, virtual]

returns a pointer to a clone of the functor.

Implements lti::functor.

template<class T >

qrSolution& lti::qrSolution< T >::copy ( const qrSolution< T > & other )