LOCA abstract interface for continuation, derived from the NOX::Abstract::Group. This abstract class provides the interface necessary to perform continuation, i.e., compute families of solutions to $ F(x,p) = 0 $ . More...

#include <LOCA_MultiContinuation_AbstractGroup.H>

Inheritance diagram for LOCA::MultiContinuation::AbstractGroup:

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Collaboration diagram for LOCA::MultiContinuation::AbstractGroup:

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List of all members.

Public Member Functions
	AbstractGroup ()
	Default constructor.
virtual	~AbstractGroup ()
	Destructor.
Pure virtual methods
These methods must be defined by any concrete implementation
virtual void	copy (const NOX::Abstract::Group &source)=0
	Copy the group (replaces operator = )
virtual void	setParamsMulti (const std::vector< int > &paramIDs, const NOX::Abstract::MultiVector::DenseMatrix &vals)=0
	Set parameters indexed by (integer) paramIDs.
virtual void	setParams (const LOCA::ParameterVector &p)=0
	Set the parameter vector in the group to p (pVector = p).
virtual void	setParam (int paramID, double val)=0
	Set parameter indexed by (integer) paramID.
virtual void	setParam (std::string paramID, double val)=0
	Set parameter indexed by (std::string) paramID.
virtual const LOCA::ParameterVector &	getParams () const =0
	Return a const reference to the ParameterVector owned by the group.
virtual double	getParam (int paramID) const =0
	Return copy of parameter indexed by (integer) paramID.
virtual double	getParam (std::string paramID) const =0
	Return copy of parameter indexed by (std::string) paramID.
virtual NOX::Abstract::Group::ReturnType	computeDfDpMulti (const std::vector< int > &paramIDs, NOX::Abstract::MultiVector &dfdp, bool isValidF)=0
Virtual methods with default implementations
These methods should be overloaded in a concrete implementation if more appropriate/efficient approaches are available.
virtual void	preProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
	Perform any preprocessing before a continuation step starts.
virtual void	postProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
	Perform any postprocessing after a continuation step finishes.
virtual void	projectToDraw (const NOX::Abstract::Vector &x, double *px) const
	Projects solution to a few scalars for multiparameter continuation.
virtual int	projectToDrawDimension () const
	Returns the dimension of the project to draw array.
virtual double	computeScaledDotProduct (const NOX::Abstract::Vector &a, const NOX::Abstract::Vector &b) const
	Compute a scaled dot product.
Virtual methods with empty or trivial implementations
These methods should be overloaded in a concrete implementation but their implementation is not critical to the rest of LOCA and therefore have empty or trivial implementations.
virtual void	printSolution (const double conParam) const
	Function to print out solution and parameter after successful step.
virtual void	printSolution (const NOX::Abstract::Vector &x_, const double conParam) const
	Function to print out a vector and parameter after successful step.
virtual void	scaleVector (NOX::Abstract::Vector &x) const
	Scales a vector using scaling vector.

Detailed Description

LOCA abstract interface for continuation, derived from the NOX::Abstract::Group. This abstract class provides the interface necessary to perform continuation, i.e., compute families of solutions to $ F(x,p) = 0 $ .

Concrete implemenations of this interface must provide implementations of all of the methods in the NOX::Abstract::Group interface as well as the additional interface defined here.

Member Function Documentation

virtual NOX::Abstract::Group::ReturnType LOCA::MultiContinuation::AbstractGroup::computeDfDpMulti	(	const std::vector< int > &	paramIDs,
		NOX::Abstract::MultiVector &	dfdp,
		bool	isValidF
	)		`[pure virtual]`

Compute $\partial F/\partial p$ for each parameter $p$ indexed by paramIDs. The first column of dfdp holds F, which is valid if isValidF is true. Otherwise F must be computed.

Implemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::PhaseTransition::ExtendedGroup, LOCA::Thyra::Group, and LOCA::MultiContinuation::FiniteDifferenceGroup.

Referenced by LOCA::MultiPredictor::Tangent::compute(), and LOCA::Thyra::Group::computeDfDpMulti().

double LOCA::MultiContinuation::AbstractGroup::computeScaledDotProduct	(	const NOX::Abstract::Vector &	a,
		const NOX::Abstract::Vector &	b
	)		const `[virtual]`

Compute a scaled dot product.

The default implementation here just computes a.dot(b) but should be overloaded for any problem that his difficult scaling.

Reimplemented in LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Epetra::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

References NOX::Abstract::Vector::innerProduct().

void LOCA::MultiContinuation::AbstractGroup::postProcessContinuationStep ( LOCA::Abstract::Iterator::StepStatus stepStatus ) [virtual]

Perform any postprocessing after a continuation step finishes.

The stepStatus argument indicates whether the step was successful. The default implementation to empty.

Reimplemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::Epetra::Group, and LOCA::Thyra::Group.

void LOCA::MultiContinuation::AbstractGroup::preProcessContinuationStep ( LOCA::Abstract::Iterator::StepStatus stepStatus ) [virtual]

Perform any preprocessing before a continuation step starts.

The stepStatus argument indicates whether the previous step was successful. The default implementation to empty.

Reimplemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::Epetra::Group, and LOCA::Thyra::Group.

virtual void LOCA::MultiContinuation::AbstractGroup::printSolution ( const double conParam ) const [inline, virtual]

Function to print out solution and parameter after successful step.

Empty default definition.

Reimplemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Epetra::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, LOCA::PhaseTransition::ExtendedGroup, and LOCA::Thyra::Group.

virtual void LOCA::MultiContinuation::AbstractGroup::printSolution	(	const NOX::Abstract::Vector &	x_,
		const double	conParam
	)		const `[inline, virtual]`

Function to print out a vector and parameter after successful step.

Empty default definition.

Reimplemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Epetra::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, LOCA::PhaseTransition::ExtendedGroup, and LOCA::Thyra::Group.

void LOCA::MultiContinuation::AbstractGroup::projectToDraw	(	const NOX::Abstract::Vector &	x,
		double *	px
	)		const `[virtual]`

Projects solution to a few scalars for multiparameter continuation.

This method is called every time a solution is saved by the multiparameter continuation code MF for later visualization and should project the solution vector down to a few scalars. The array px will be preallocated to the proper length given by projectToDrawDimension().

The default implementation is the max norm of the vector.

Reimplemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Homotopy::DeflatedGroup, LOCA::Epetra::Group, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

References NOX::Abstract::Vector::MaxNorm, and NOX::Abstract::Vector::norm().

int LOCA::MultiContinuation::AbstractGroup::projectToDrawDimension ( ) const [virtual]

Returns the dimension of the project to draw array.

The default implementation is to return 1 since the default projection is the max norm of the vector (a scalar).

Reimplemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::TurningPoint::MooreSpence::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MooreSpence::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MooreSpence::ExtendedGroup, LOCA::Homotopy::Group, LOCA::Homotopy::DeflatedGroup, LOCA::Epetra::Group, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

void LOCA::MultiContinuation::AbstractGroup::scaleVector ( NOX::Abstract::Vector & x ) const [virtual]

Scales a vector using scaling vector.

The default definition here is to do nothing, i.e., no scaling

Reimplemented in LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Epetra::Group, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

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

LOCA_MultiContinuation_AbstractGroup.H
LOCA_MultiContinuation_AbstractGroup.C

Public Member Functions

Detailed Description

Member Function Documentation