Anasazi::BasicEigenproblem< ScalarType, MV, OP > Class Template Reference

This provides a basic implementation for defining standard or generalized eigenvalue problems. More...

#include <AnasaziBasicEigenproblem.hpp>

Inheritance diagram for Anasazi::BasicEigenproblem< ScalarType, MV, OP >:


Public Member Functions
Constructors/Destructor
	BasicEigenproblem ()
	Empty constructor - allows Anasazi::BasicEigenproblem to be described at a later time through "Set Methods".
	BasicEigenproblem (const Teuchos::RCP< const OP > &Op, const Teuchos::RCP< MV > &InitVec)
	Standard Eigenvalue Problem Constructor.
	BasicEigenproblem (const Teuchos::RCP< const OP > &Op, const Teuchos::RCP< const OP > &B, const Teuchos::RCP< MV > &InitVec)
	Generalized Eigenvalue Problem Constructor.
	BasicEigenproblem (const BasicEigenproblem< ScalarType, MV, OP > &Problem)
	Copy Constructor.
virtual	~BasicEigenproblem ()
	Destructor.
Set Methods
void	setOperator (const Teuchos::RCP< const OP > &Op)
	Set the operator for which eigenvalues will be computed.
void	setA (const Teuchos::RCP< const OP > &A)
	Set the operator `A` of the eigenvalue problem $Ax=Mx\lambda$ .
void	setM (const Teuchos::RCP< const OP > &M)
	Set the operator `M` of the eigenvalue problem $Ax = Mx\lambda$ .
void	setPrec (const Teuchos::RCP< const OP > &Prec)
	Set the preconditioner for this eigenvalue problem $Ax = Mx\lambda$ .
void	setInitVec (const Teuchos::RCP< MV > &InitVec)
	Set the initial guess.
void	setAuxVecs (const Teuchos::RCP< const MV > &AuxVecs)
	Set auxiliary vectors.
void	setNEV (int nev)
	Specify the number of eigenvalues (NEV) that are requested.
void	setHermitian (bool isSym)
	Specify the symmetry of this eigenproblem.
bool	setProblem ()
	Specify that this eigenproblem is fully defined.
void	setSolution (const Eigensolution< ScalarType, MV > &sol)
	Set the solution to the eigenproblem.
Accessor Methods
Teuchos::RCP< const OP >	getOperator () const
	Get a pointer to the operator for which eigenvalues will be computed.
Teuchos::RCP< const OP >	getA () const
	Get a pointer to the operator `A` of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const OP >	getM () const
	Get a pointer to the operator `M` of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const OP >	getPrec () const
	Get a pointer to the preconditioner of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const MV >	getInitVec () const
	Get a pointer to the initial vector.
Teuchos::RCP< const MV >	getAuxVecs () const
	Get a pointer to the auxiliary vector.
int	getNEV () const
	Get the number of eigenvalues (NEV) that are required by this eigenproblem.
bool	isHermitian () const
	Get the symmetry information for this eigenproblem.
bool	isProblemSet () const
	If the problem has been set, this method will return true.
const Eigensolution< ScalarType, MV > &	getSolution () const
	Get the solution to the eigenproblem.
Protected Types
typedef MultiVecTraits< ScalarType, MV >	MVT
	Type-definition for the MultiVecTraits class corresponding to the `MV` type.
typedef OperatorTraits< ScalarType, MV, OP >	OPT
	Type-definition for the OperatorTraits class corresponding to the `OP` type.
Protected Attributes
Teuchos::RCP< const OP >	_AOp
	Reference-counted pointer for `A` of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const OP >	_MOp
	Reference-counted pointer for `M` of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const OP >	_Op
	Reference-counted pointer for the operator of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const OP >	_Prec
	Reference-counted pointer for the preconditioner of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< MV >	_InitVec
	Reference-counted pointer for the initial vector of the eigenproblem $Ax=\lambda Mx$ .
Teuchos::RCP< const MV >	_AuxVecs
	Reference-counted pointer for the auxiliary vector of the eigenproblem $Ax=\lambda Mx$ .
int	_nev
	Number of eigenvalues requested.
bool	_isSym
	Symmetry of the eigenvalue problem.
bool	_isSet
	Sanity Check Flag.
Eigensolution< ScalarType, MV >	_sol
	Solution to problem.

Detailed Description

template<class ScalarType, class MV, class OP>
class Anasazi::BasicEigenproblem< ScalarType, MV, OP >

This provides a basic implementation for defining standard or generalized eigenvalue problems.

Member Typedef Documentation

template<class ScalarType, class MV, class OP>

typedef MultiVecTraits<ScalarType,MV> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::MVT [protected]

Type-definition for the MultiVecTraits class corresponding to the MV type.

template<class ScalarType, class MV, class OP>

typedef OperatorTraits<ScalarType,MV,OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::OPT [protected]

Type-definition for the OperatorTraits class corresponding to the OP type.

Constructor & Destructor Documentation

template<class ScalarType, class MV, class OP>

Anasazi::BasicEigenproblem< ScalarType, MV, OP >::BasicEigenproblem ( )

Empty constructor - allows Anasazi::BasicEigenproblem to be described at a later time through "Set Methods".

template<class ScalarType, class MV, class OP>

Anasazi::BasicEigenproblem< ScalarType, MV, OP >::BasicEigenproblem	(	const Teuchos::RCP< const OP > &	Op,
		const Teuchos::RCP< MV > &	InitVec
	)

Standard Eigenvalue Problem Constructor.

template<class ScalarType, class MV, class OP>

Anasazi::BasicEigenproblem< ScalarType, MV, OP >::BasicEigenproblem	(	const Teuchos::RCP< const OP > &	Op,
		const Teuchos::RCP< const OP > &	B,
		const Teuchos::RCP< MV > &	InitVec
	)

Generalized Eigenvalue Problem Constructor.

template<class ScalarType, class MV, class OP>

Anasazi::BasicEigenproblem< ScalarType, MV, OP >::BasicEigenproblem ( const BasicEigenproblem< ScalarType, MV, OP > & Problem )

Copy Constructor.

template<class ScalarType, class MV, class OP>

virtual Anasazi::BasicEigenproblem< ScalarType, MV, OP >::~BasicEigenproblem ( ) [inline, virtual]

Destructor.

Member Function Documentation

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setOperator ( const Teuchos::RCP< const OP > & Op ) [inline, virtual]

Set the operator for which eigenvalues will be computed.

Note:: This may be different from the A if a spectral transformation is employed. For example, this operator may apply the operation $(A-\sigma I)^{-1}$ if you are looking for eigenvalues of A around $\sigma$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setA ( const Teuchos::RCP< const OP > & A ) [inline, virtual]

Set the operator A of the eigenvalue problem $Ax=Mx\lambda$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setM ( const Teuchos::RCP< const OP > & M ) [inline, virtual]

Set the operator M of the eigenvalue problem $Ax = Mx\lambda$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setPrec ( const Teuchos::RCP< const OP > & Prec ) [inline, virtual]

Set the preconditioner for this eigenvalue problem $Ax = Mx\lambda$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setInitVec ( const Teuchos::RCP< MV > & InitVec ) [inline, virtual]

Set the initial guess.

This vector is required to create all the space needed by Anasazi to solve the eigenvalue problem.

Note:: Even if an initial guess is not known by the user, an initial vector must be passed in.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setAuxVecs ( const Teuchos::RCP< const MV > & AuxVecs ) [inline, virtual]

Set auxiliary vectors.

Note:: This multivector can have any number of columns, and most likely will contain vectors that will be used by the eigensolver to orthogonalize against.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setNEV ( int nev ) [inline, virtual]

Specify the number of eigenvalues (NEV) that are requested.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setHermitian ( bool isSym ) [inline, virtual]

Specify the symmetry of this eigenproblem.

This knowledge may allow the solver to take advantage of the eigenproblems' symmetry. Some computational work can be avoided by setting this properly.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

bool Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setProblem ( ) [virtual]

Specify that this eigenproblem is fully defined.

This routine serves multiple purpose:

sanity check that the eigenproblem has been fully and consistently defined
opportunity for the eigenproblem to allocate internal storage for eigenvalues and eigenvectors (to be used by eigensolvers and solver managers)

This method reallocates internal storage, so that any previously retrieved references to internal storage (eigenvectors or eigenvalues) are invalidated.

Note:: The user MUST call this routine before they send the eigenproblem to any solver or solver manager.

Returns:: true signifies success, false signifies error.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

void Anasazi::BasicEigenproblem< ScalarType, MV, OP >::setSolution ( const Eigensolution< ScalarType, MV > & sol ) [inline, virtual]

Set the solution to the eigenproblem.

This mechanism allows an Eigensolution struct to be associated with an Eigenproblem object. setSolution() is usually called by a solver manager at the end of its SolverManager::solve() routine.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getOperator ( ) const [inline, virtual]

Get a pointer to the operator for which eigenvalues will be computed.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getA ( ) const [inline, virtual]

Get a pointer to the operator A of the eigenproblem $Ax=\lambda Mx$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getM ( ) const [inline, virtual]

Get a pointer to the operator M of the eigenproblem $Ax=\lambda Mx$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getPrec ( ) const [inline, virtual]

Get a pointer to the preconditioner of the eigenproblem $Ax=\lambda Mx$ .

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const MV> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getInitVec ( ) const [inline, virtual]

Get a pointer to the initial vector.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const MV> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getAuxVecs ( ) const [inline, virtual]

Get a pointer to the auxiliary vector.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

int Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getNEV ( ) const [inline, virtual]

Get the number of eigenvalues (NEV) that are required by this eigenproblem.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

bool Anasazi::BasicEigenproblem< ScalarType, MV, OP >::isHermitian ( ) const [inline, virtual]

Get the symmetry information for this eigenproblem.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

bool Anasazi::BasicEigenproblem< ScalarType, MV, OP >::isProblemSet ( ) const [inline, virtual]

If the problem has been set, this method will return true.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>

const Eigensolution<ScalarType,MV>& Anasazi::BasicEigenproblem< ScalarType, MV, OP >::getSolution ( ) const [inline, virtual]

Get the solution to the eigenproblem.

There is no computation associated with this method. It only provides a mechanism for associating an Eigensolution with a Eigenproblem.

Implements Anasazi::Eigenproblem< ScalarType, MV, OP >.

Member Data Documentation

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_AOp [protected]

Reference-counted pointer for A of the eigenproblem $Ax=\lambda Mx$ .

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_MOp [protected]

Reference-counted pointer for M of the eigenproblem $Ax=\lambda Mx$ .

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_Op [protected]

Reference-counted pointer for the operator of the eigenproblem $Ax=\lambda Mx$ .

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const OP> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_Prec [protected]

Reference-counted pointer for the preconditioner of the eigenproblem $Ax=\lambda Mx$ .

template<class ScalarType, class MV, class OP>

Teuchos::RCP<MV> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_InitVec [protected]

Reference-counted pointer for the initial vector of the eigenproblem $Ax=\lambda Mx$ .

template<class ScalarType, class MV, class OP>

Teuchos::RCP<const MV> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_AuxVecs [protected]

Reference-counted pointer for the auxiliary vector of the eigenproblem $Ax=\lambda Mx$ .

template<class ScalarType, class MV, class OP>

int Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_nev [protected]

Number of eigenvalues requested.

template<class ScalarType, class MV, class OP>

bool Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_isSym [protected]

Symmetry of the eigenvalue problem.

Note:: A generalized eigenvalue problem $Ax= \lambda Mx$ is considered symmetric if the operator \c M is positive (semi) definite.

template<class ScalarType, class MV, class OP>

bool Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_isSet [protected]

Sanity Check Flag.

template<class ScalarType, class MV, class OP>

Eigensolution<ScalarType,MV> Anasazi::BasicEigenproblem< ScalarType, MV, OP >::_sol [protected]

Solution to problem.

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

AnasaziBasicEigenproblem.hpp

Generated on Sat Nov 21 01:07:52 2009 for Anasazi by

1.4.7

Anasazi::BasicEigenproblem< ScalarType, MV, OP > Class Template Reference

Public Member Functions

Protected Types

Protected Attributes

Detailed Description

template<class ScalarType, class MV, class OP> class Anasazi::BasicEigenproblem< ScalarType, MV, OP >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class ScalarType, class MV, class OP>
class Anasazi::BasicEigenproblem< ScalarType, MV, OP >