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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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. More...

virtual void	postProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
	Perform any postprocessing after a continuation step finishes. More...

virtual void	projectToDraw (const NOX::Abstract::Vector &x, double *px) const
	Projects solution to a few scalars for multiparameter continuation. More...

virtual int	projectToDrawDimension () const
	Returns the dimension of the project to draw array. More...

virtual double	computeScaledDotProduct (const NOX::Abstract::Vector &a, const NOX::Abstract::Vector &b) const
	Compute a scaled dot product. More...

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) const
	Function to print out solution and parameter after successful step. More...

virtual void	printSolution (const NOX::Abstract::Vector &, const double) const
	Function to print out a vector and parameter after successful step. More...

virtual void	scaleVector (NOX::Abstract::Vector &x) const
	Scales a vector using scaling vector. More...

Public Member Functions inherited from NOX::Abstract::Group
	Group ()
	Constructor. More...

virtual	~Group ()
	Destructor.

virtual NOX::Abstract::Group &	operator= (const NOX::Abstract::Group &source)=0
	Copies the source group into this group. More...

virtual void	setX (const NOX::Abstract::Vector &y)=0
	Set the solution vector x to y. More...

virtual void	computeX (const NOX::Abstract::Group &grp, const NOX::Abstract::Vector &d, double step)=0
	Compute x = grp.x + step * d. More...

virtual NOX::Abstract::Group::ReturnType	computeF ()=0
	Compute and store F(x). More...

virtual NOX::Abstract::Group::ReturnType	computeJacobian ()
	Compute and store Jacobian. More...

virtual NOX::Abstract::Group::ReturnType	computeGradient ()
	Compute and store gradient. More...

virtual NOX::Abstract::Group::ReturnType	computeNewton (Teuchos::ParameterList &params)
	Compute the Newton direction, using parameters for the linear solve. More...

virtual NOX::Abstract::Group::ReturnType	applyJacobian (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies Jacobian to the given input vector and puts the answer in the result. More...

virtual NOX::Abstract::Group::ReturnType	applyJacobianTranspose (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies Jacobian-Transpose to the given input vector and puts the answer in the result. More...

virtual NOX::Abstract::Group::ReturnType	applyJacobianInverse (Teuchos::ParameterList &params, const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies the inverse of the Jacobian matrix to the given input vector and puts the answer in result. More...

virtual NOX::Abstract::Group::ReturnType	applyRightPreconditioning (bool useTranspose, Teuchos::ParameterList &params, const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Apply right preconditiong to the given input vector. More...

virtual NOX::Abstract::Group::ReturnType	applyJacobianMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyJacobian for multiple right-hand sides More...

virtual NOX::Abstract::Group::ReturnType	applyJacobianTransposeMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyJacobianTranspose for multiple right-hand sides More...

virtual NOX::Abstract::Group::ReturnType	applyJacobianInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyJacobianInverse for multiple right-hand sides More...

virtual NOX::Abstract::Group::ReturnType	applyRightPreconditioningMultiVector (bool useTranspose, Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyRightPreconditioning for multiple right-hand sides More...

virtual bool	isF () const =0
	Return true if F is valid.

virtual bool	isJacobian () const
	Return true if the Jacobian is valid. More...

virtual bool	isGradient () const
	Return true if the gradient is valid. More...

virtual bool	isNewton () const
	Return true if the Newton direction is valid. More...

virtual const NOX::Abstract::Vector &	getX () const =0
	Return solution vector.

virtual const NOX::Abstract::Vector &	getScaledX () const

virtual const NOX::Abstract::Vector &	getF () const =0
	Return F(x)

virtual double	getNormF () const =0
	Return 2-norm of F(x). More...

virtual const NOX::Abstract::Vector &	getGradient () const =0
	Return gradient.

virtual const NOX::Abstract::Vector &	getNewton () const =0
	Return Newton direction.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getXPtr () const =0
	Return RCP to solution vector.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getFPtr () const =0
	Return RCP to F(x)

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getGradientPtr () const =0
	Return RCP to gradient.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getNewtonPtr () const =0
	Return RCP to Newton direction.

virtual void	logLastLinearSolveStats (NOX::SolverStats &stats) const
	Adds statistics from last linear solve to the SovlerStats object.

virtual NOX::Abstract::Group::ReturnType	getNormLastLinearSolveResidual (double &residual) const
	Return the norm of the last linear solve residual as the result of either a call to computeNewton() or applyJacobianInverse(). More...

virtual Teuchos::RCP < NOX::Abstract::Group >	clone (NOX::CopyType type=NOX::DeepCopy) const =0
	Create a new Group of the same derived type as this one by cloning this one, and return a ref count pointer to the new group. More...

Additional Inherited Members
Public Types inherited from NOX::Abstract::Group
enum	ReturnType { Ok, NotDefined, BadDependency, NotConverged, Failed }
	The computation of, say, the Newton direction in computeNewton() may fail in many different ways, so we have included a variety of return codes to describe the failures. Of course, we also have a code for success. More...

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 ) const

inlinevirtual

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 &	,
		const double
	)		const

inlinevirtual

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.