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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

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


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]

Member Function Documentation

virtual bool mat::arn::Lanczos::converged ( ) const [protected, pure virtual]
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]
void mat::arn::Lanczos::step ( ) [protected]
virtual void mat::arn::Lanczos::update ( ) [protected, pure virtual]

Member Data Documentation

Tmatrix const& mat::arn::Lanczos::A [protected]
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().


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