mat::arn::Lanczos Class Reference

Class template for building Krylov subspaces with Lanczos. More...

#include <Lanczos.h>

List of all members.

Public Member Functions
	Lanczos (Tmatrix const &AA, Tvector const &startVec, int maxIt=100, int cap=100)
void	restart (Tvector const &startVec)
virtual void	run ()
void	copyTridiag (MatrixTridiagSymmetric< Treal > &Tricopy)
virtual	~Lanczos ()
Protected Member Functions
void	increaseCapacity (int const newCapacity)
void	step ()
void	getEigVector (Tvector &eigVec, Treal const *const eVecTri) const
virtual void	update ()=0
virtual bool	converged () const =0
Protected Attributes
Tmatrix const &	A
Tvector *	v
Tvector	r
	Vectors spanning Krylov subspace.
MatrixTridiagSymmetric< Treal >	Tri
	Residual vector.
int	capacity
int	j
int	maxIter
	Current step.
Private Attributes
Treal	alpha
Treal	beta

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Detailed Description

Class template for building Krylov subspaces with Lanczos.

Build up Krylov subspace for symmetric matrix with a Lanczos process.

Treal: Type for real numbers

Tmatrix: The matrix class

Tvector: Vector class

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Constructor & Destructor Documentation

mat::arn::Lanczos::Lanczos	(	Tmatrix const &	AA,
		Tvector const &	startVec,
		int	maxIt = 100,
		int	cap = 100
	)		[inline]

virtual mat::arn::Lanczos::~Lanczos

(

)

[inline, virtual]

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Member Function Documentation

virtual bool mat::arn::Lanczos::converged

(

)

const [protected, pure virtual]

Implemented in mat::arn::LanczosLargestMagnitudeEig.

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::run().

void mat::arn::Lanczos::copyTridiag

(

MatrixTridiagSymmetric< Treal > &

Tricopy

)

[inline]

void mat::arn::Lanczos::getEigVector	(	Tvector &	eigVec,
		Treal const *const	eVecTri
	)		const [protected]

void mat::arn::Lanczos::increaseCapacity

(

int const

newCapacity

)

[protected]

void mat::arn::Lanczos::restart

(

Tvector const &

startVec

)

[inline]

virtual void mat::arn::Lanczos::run

(

)

[inline, virtual]

Reimplemented in mat::arn::LanczosLargestMagnitudeEig.

void mat::arn::Lanczos::step

(

)

[protected]

References A, and mat::transpose().

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::run().

virtual void mat::arn::Lanczos::update

(

)

[protected, pure virtual]

Implemented in mat::arn::LanczosLargestMagnitudeEig.

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::run().

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Member Data Documentation

Tmatrix const& mat::arn::Lanczos::A [protected]

Treal mat::arn::Lanczos::alpha [private]

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart().

Treal mat::arn::Lanczos::beta [private]

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart().

int mat::arn::Lanczos::capacity [protected]

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart().

int mat::arn::Lanczos::j [protected]

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart(), and mat::arn::Lanczos< Treal, Tmatrix, Tvector >::run().

int mat::arn::Lanczos::maxIter [protected]

Current step.

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::run().

Tvector mat::arn::Lanczos::r [protected]

Vectors spanning Krylov subspace.

In step j: Vectors 0 : j-2 is on file Vectors j-1 : j is in memory

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::Lanczos(), and mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart().

MatrixTridiagSymmetric<Treal> mat::arn::Lanczos::Tri [protected]

Residual vector.

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart(), and mat::arn::Lanczos< Treal, Tmatrix, Tvector >::copyTridiag().

Tvector* mat::arn::Lanczos::v [protected]

Referenced by mat::arn::Lanczos< Treal, Tmatrix, Tvector >::Lanczos(), mat::arn::Lanczos< Treal, Tmatrix, Tvector >::restart(), and mat::arn::Lanczos< Treal, Tmatrix, Tvector >::~Lanczos().

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

• source/matrix/Lanczos.h