Compatiblity class for AbstractGroup hierarchy. More...

#include <LOCA_Abstract_Group.H>

Inheritance diagram for LOCA::Abstract::Group:

Collaboration diagram for LOCA::Abstract::Group:

Public Member Functions
	Group (const Teuchos::RCP< LOCA::GlobalData > &global_data)
	Constructor.

	Group (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::DerivUtils > &deriv)
	Constructor.

	Group (const Group &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual	~Group ()
	Destructor.

Implementation of LOCA::Homotopy::AbstractGroup virtual methods.
virtual NOX::Abstract::Group::ReturnType	augmentJacobianForHomotopy (double a, double b)
	Replace Jacobian by where is the identity matrix and is a scalar. More...

Implementation of LOCA::TimeDependent::AbstractGroup virtual methods.
virtual NOX::Abstract::Group::ReturnType	computeShiftedMatrix (double alpha, double beta)
	Compute the shifted matrix. More...

virtual NOX::Abstract::Group::ReturnType	applyShiftedMatrix (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Multiply the shifted matrix by a vector. More...

virtual NOX::Abstract::Group::ReturnType	applyShiftedMatrixMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	Multiply the shifted matrix by a multi-vector. More...

virtual NOX::Abstract::Group::ReturnType	applyShiftedMatrixInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	Apply the inverse of the shifted matrix by a multi-vector, as needed by the shift-and-invert and generalized Cayley transformations. More...

virtual NOX::Abstract::Group::ReturnType	computeSecondShiftedMatrix (double alpha, double beta)
	Compute the second shifted matrix. Can avoid recomputing if two are stored. More...

virtual NOX::Abstract::Group::ReturnType	applySecondShiftedMatrix (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Multiply the shifted matrix by a vector. More...

virtual NOX::Abstract::Group::ReturnType	applySecondShiftedMatrixMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	Multiply the shifted matrix by a multi-vector. More...

Implementation of LOCA::Hopf::Moorespence::AbstractGroup virtual methods.
virtual bool	isComplex () const
	Is $J+i\omega B$ valid. More...

virtual NOX::Abstract::Group::ReturnType	computeComplex (double frequency)
	Compute $J+i\omega B$ . More...

virtual NOX::Abstract::Group::ReturnType	applyComplex (const NOX::Abstract::Vector &input_real, const NOX::Abstract::Vector &input_imag, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag) const
	Compute $(J+i\omega B)(y+iz)$ . More...

virtual NOX::Abstract::Group::ReturnType	applyComplexMultiVector (const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const
	Compute $(J+i\omega B)(y+iz)$ . More...

virtual NOX::Abstract::Group::ReturnType	applyComplexInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const
	Solve $(J+i\omega B)(y+iz) = a+ib$ . More...

Implementation of LOCA::Hopf::MinimallyAugmented::AbstractGroup virtual methods.
virtual NOX::Abstract::Group::ReturnType	applyComplexTranspose (const NOX::Abstract::Vector &input_real, const NOX::Abstract::Vector &input_imag, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag) const

virtual NOX::Abstract::Group::ReturnType	applyComplexTransposeMultiVector (const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const

virtual NOX::Abstract::Group::ReturnType	applyComplexTransposeInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const
	Solve $(J+i\omega B)^H (x + iy) = a+ib$ .

Implementation of LOCA::MultiContinuation::AbstractGroup virtual methods.
virtual void	copy (const NOX::Abstract::Group &source)
	Assignment operator.

virtual void	setParamsMulti (const std::vector< int > &paramIDs, const NOX::Abstract::MultiVector::DenseMatrix &vals)
	Set parameters indexed by (integer) paramIDs.

virtual void	notifyCompletedStep ()

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

Implementation of LOCA::PhaseTransition::AbstractGroup virtual methods.
virtual double	computeFreeEnergy ()
	Computes the free energy at the current solution and parameter values.

Public Member Functions inherited from LOCA::Homotopy::AbstractGroup
	AbstractGroup ()
	Default constructor.

virtual	~AbstractGroup ()
	Destructor.

Public Member Functions inherited from LOCA::MultiContinuation::AbstractGroup
	AbstractGroup ()
	Default constructor.

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 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 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 Teuchos::RCP < NOX::Abstract::Group >	getNestedGroup ()
	Return an internally stored group from this group. More...

virtual Teuchos::RCP< const NOX::Abstract::Group >	getNestedGroup () const
	Return an internally stored group from 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...

Public Member Functions inherited from LOCA::TurningPoint::MinimallyAugmented::FiniteDifferenceGroup
	FiniteDifferenceGroup ()
	Constructor.

	FiniteDifferenceGroup (const FiniteDifferenceGroup &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual	~FiniteDifferenceGroup ()
	Destructor.

virtual NOX::Abstract::Group::ReturnType	computeDwtJnDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &w, const NOX::Abstract::Vector &nullVector, NOX::Abstract::MultiVector::DenseMatrix &result, bool isValid)
	Computes the derivative $\partial w^TJn/\partial p$ . More...

virtual NOX::Abstract::Group::ReturnType	computeDwtJDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &w, NOX::Abstract::MultiVector &result, bool isValid)
	Computes the derivative $\partial w^TJ/\partial p$ . More...

virtual NOX::Abstract::Group::ReturnType	computeDwtJnDx (const NOX::Abstract::Vector &w, const NOX::Abstract::Vector &nullVector, NOX::Abstract::Vector &result)
	Computes the derivative $\frac{\partial w^TJn}{\partial x}$ . More...

Public Member Functions inherited from LOCA::TurningPoint::MinimallyAugmented::AbstractGroup
	AbstractGroup ()
	Default constructor.

Public Member Functions inherited from LOCA::TurningPoint::MooreSpence::AbstractGroup
	AbstractGroup ()
	Default constructor.

Public Member Functions inherited from LOCA::TurningPoint::MooreSpence::FiniteDifferenceGroup
	FiniteDifferenceGroup ()
	Constructor.

	FiniteDifferenceGroup (const FiniteDifferenceGroup &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual NOX::Abstract::Group::ReturnType	computeDJnDpMulti (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &nullVector, NOX::Abstract::MultiVector &result, bool isValid)
	Computes the derivative $\partial Jn/\partial p$ . More...

virtual NOX::Abstract::Group::ReturnType	computeDJnDxaMulti (const NOX::Abstract::Vector &nullVector, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result)
	Computes the directional derivative $\frac{\partial Jn}{\partial x} a$ for the given direction . More...

virtual NOX::Abstract::Group::ReturnType	computeDJnDxaMulti (const NOX::Abstract::Vector &nullVector, const NOX::Abstract::Vector &JnVector, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result)
	Computes the directional derivative $\frac{\partial Jn}{\partial x} a$ for the given direction . More...

virtual NOX::Abstract::Group::ReturnType	computeDwtJnDxMulti (const NOX::Abstract::MultiVector &w, const NOX::Abstract::Vector &nullVector, NOX::Abstract::MultiVector &result)
	Computes the derivative $\frac{\partial w^TJn}{\partial x}$ . More...

Public Member Functions inherited from LOCA::MultiContinuation::FiniteDifferenceGroup
	FiniteDifferenceGroup ()
	Constructor.

	FiniteDifferenceGroup (const FiniteDifferenceGroup &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual void	setDerivUtils (const Teuchos::RCP< LOCA::DerivUtils > &deriv)
	Set the LOCA::DerivUtils object.

virtual NOX::Abstract::Group::ReturnType	computeDfDpMulti (const std::vector< int > &paramIDs, NOX::Abstract::MultiVector &dfdp, bool isValidF)

Public Member Functions inherited from LOCA::Pitchfork::MinimallyAugmented::AbstractGroup
	AbstractGroup ()
	Default constructor.

virtual	~AbstractGroup ()
	Destructor.

Public Member Functions inherited from LOCA::Pitchfork::MooreSpence::AbstractGroup
	AbstractGroup ()
	Default constructor.

virtual double	innerProduct (const NOX::Abstract::Vector &a, const NOX::Abstract::Vector &b) const
	Compute the inner product of `a` and `b`. More...

virtual void	innerProduct (const NOX::Abstract::MultiVector &a, const NOX::Abstract::MultiVector &b, NOX::Abstract::MultiVector::DenseMatrix &c) const
	Compute the inner product of `a` and `b`. More...

Public Member Functions inherited from LOCA::Hopf::MinimallyAugmented::FiniteDifferenceGroup
	FiniteDifferenceGroup ()
	Constructor.

	FiniteDifferenceGroup (const FiniteDifferenceGroup &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual	~FiniteDifferenceGroup ()
	Destructor.

virtual NOX::Abstract::Group::ReturnType	computeDwtCeDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &w1, const NOX::Abstract::Vector &w2, const NOX::Abstract::Vector &y, const NOX::Abstract::Vector &x, double omega, NOX::Abstract::MultiVector::DenseMatrix &result_real, NOX::Abstract::MultiVector::DenseMatrix &result_imag, bool isValid)
	Computes the derivative $\partial w^TCe/\partial p$ . More...

virtual NOX::Abstract::Group::ReturnType	computeDwtCeDx (const NOX::Abstract::Vector &w1, const NOX::Abstract::Vector &w2, const NOX::Abstract::Vector &y, const NOX::Abstract::Vector &z, double omega, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag)
	Computes the derivative $\frac{\partial w^TCe}{\partial x}$ . More...

Public Member Functions inherited from LOCA::Hopf::MinimallyAugmented::AbstractGroup
	AbstractGroup ()
	Default constructor.

virtual	~AbstractGroup ()
	Destructor.

Public Member Functions inherited from LOCA::Hopf::MooreSpence::AbstractGroup
	AbstractGroup ()
	Default constructor.

Public Member Functions inherited from LOCA::TimeDependent::AbstractGroup
	AbstractGroup ()
	Default constructor.

Public Member Functions inherited from LOCA::Hopf::MooreSpence::FiniteDifferenceGroup
	FiniteDifferenceGroup ()
	Constructor.

	FiniteDifferenceGroup (const FiniteDifferenceGroup &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual NOX::Abstract::Group::ReturnType	computeDCeDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag, bool isValid)
	Computes the derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial p}$ where is the parameter indexed by paramIDs. More...

virtual NOX::Abstract::Group::ReturnType	computeDCeDxa (const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag)
	Computes the directional derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial x} a$ for the given direction . More...

virtual NOX::Abstract::Group::ReturnType	computeDCeDxa (const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, const NOX::Abstract::MultiVector &aVector, const NOX::Abstract::Vector &Ce_real, const NOX::Abstract::Vector &Ce_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag)
	Computes the directional derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial x} a$ for the given direction . The arguments Ce_real and Ce_imag hold the real and imaginary components of $(J+i\omega B)(y+iz)$ . More...

Public Member Functions inherited from LOCA::PhaseTransition::AbstractGroup
	AbstractGroup ()
	Default constructor.

virtual	~AbstractGroup ()
	Destructor.

Protected Attributes
Teuchos::RCP< LOCA::GlobalData >	globalData
	Global data.

Protected Attributes inherited from LOCA::MultiContinuation::FiniteDifferenceGroup
Teuchos::RCP< DerivUtils >	derivPtr
	Pointer to current DerivUtils derivative computation object.

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

Compatiblity class for AbstractGroup hierarchy.

This class is derived from all LOCA AbstractGroup abstract base classes as well as all FiniteDifference groups and any other groups that provided default implementations for AbstractGroup pure virtual methods. This class provides definitions for all needed assignment operators and provides definitions for some pure virtual methods by printing error messages. This class exists primarily for compatiblity to an older class hierarchy and will most likely be removed in the future.

Member Function Documentation

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyComplex	(	const NOX::Abstract::Vector &	input_real,
		const NOX::Abstract::Vector &	input_imag,
		NOX::Abstract::Vector &	result_real,
		NOX::Abstract::Vector &	result_imag
	)		const

virtual

Compute $(J+i\omega B)(y+iz)$ .

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::Hopf::MooreSpence::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyComplexInverseMultiVector	(	Teuchos::ParameterList &	params,
		const NOX::Abstract::MultiVector &	input_real,
		const NOX::Abstract::MultiVector &	input_imag,
		NOX::Abstract::MultiVector &	result_real,
		NOX::Abstract::MultiVector &	result_imag
	)		const

virtual

Solve $(J+i\omega B)(y+iz) = a+ib$ .

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::Hopf::MooreSpence::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyComplexMultiVector	(	const NOX::Abstract::MultiVector &	input_real,
		const NOX::Abstract::MultiVector &	input_imag,
		NOX::Abstract::MultiVector &	result_real,
		NOX::Abstract::MultiVector &	result_imag
	)		const

virtual

Compute $(J+i\omega B)(y+iz)$ .

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::Hopf::MooreSpence::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyComplexTranspose	(	const NOX::Abstract::Vector &	input_real,
		const NOX::Abstract::Vector &	input_imag,
		NOX::Abstract::Vector &	result_real,
		NOX::Abstract::Vector &	result_imag
	)		const

virtual

Computes conjugate-tranpose matrix vector product $(J+i\omega B)^H (x + iy)$ .

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::Hopf::MinimallyAugmented::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyComplexTransposeMultiVector	(	const NOX::Abstract::MultiVector &	input_real,
		const NOX::Abstract::MultiVector &	input_imag,
		NOX::Abstract::MultiVector &	result_real,
		NOX::Abstract::MultiVector &	result_imag
	)		const

virtual

Computes conjugate-tranpose matrix vector product $(J+i\omega B)^H (x + iy)$ .

Implements LOCA::Hopf::MinimallyAugmented::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applySecondShiftedMatrix	(	const NOX::Abstract::Vector &	input,
		NOX::Abstract::Vector &	result
	)		const

virtual

Multiply the shifted matrix by a vector.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applySecondShiftedMatrixMultiVector	(	const NOX::Abstract::MultiVector &	input,
		NOX::Abstract::MultiVector &	result
	)		const

virtual

Multiply the shifted matrix by a multi-vector.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyShiftedMatrix	(	const NOX::Abstract::Vector &	input,
		NOX::Abstract::Vector &	result
	)		const

virtual

Multiply the shifted matrix by a vector.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyShiftedMatrixInverseMultiVector	(	Teuchos::ParameterList &	params,
		const NOX::Abstract::MultiVector &	input,
		NOX::Abstract::MultiVector &	result
	)		const

virtual

Apply the inverse of the shifted matrix by a multi-vector, as needed by the shift-and-invert and generalized Cayley transformations.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::applyShiftedMatrixMultiVector	(	const NOX::Abstract::MultiVector &	input,
		NOX::Abstract::MultiVector &	result
	)		const

virtual

Multiply the shifted matrix by a multi-vector.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::augmentJacobianForHomotopy	(	double	a,
		double	b
	)

virtual

Replace Jacobian $ J$ by $ aJ+bI$ where $ I$ is the identity matrix and $ p$ is a scalar.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::Homotopy::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::computeComplex ( double frequency )

virtual

Compute $J+i\omega B$ .

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::Hopf::MooreSpence::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::computeSecondShiftedMatrix	(	double	alpha,
		double	beta
	)

virtual

Compute the second shifted matrix. Can avoid recomputing if two are stored.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group.

References NOX::Abstract::Group::NotDefined.

NOX::Abstract::Group::ReturnType LOCA::Abstract::Group::computeShiftedMatrix	(	double	alpha,
		double	beta
	)

virtual

Compute the shifted matrix.

Implementation here prints an error message and returns NOX::Abstract::Group::NotDefined.

Implements LOCA::TimeDependent::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, LOCA::LAPACK::Group, and LOCA::Thyra::Group.

References NOX::Abstract::Group::NotDefined.

bool LOCA::Abstract::Group::isComplex ( ) const

virtual

Is $J+i\omega B$ valid.

The implementation here always returns false.

Implements LOCA::Hopf::MooreSpence::AbstractGroup.

Reimplemented in LOCA::Epetra::Group, and LOCA::LAPACK::Group.

void LOCA::Abstract::Group::notifyCompletedStep ( )

virtual

Notify group that the continuation step is completed The default implementation here is to do nothing.

NOX::Abstract::Group & LOCA::Abstract::Group::operator= ( const NOX::Abstract::Group & source )

virtual

Copies the source group into this group.

Note: Any shared data owned by the source should have its ownership transfered to this group. This may result in a secret modification to the source object.

Implements NOX::Abstract::Group.

Reimplemented in LOCA::Epetra::Group, LOCA::MultiContinuation::ConstrainedGroup, LOCA::LAPACK::Group, LOCA::Thyra::Group, and LOCA::Thyra::GroupWrapper.

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

LOCA_Abstract_Group.H
LOCA_Abstract_Group.C

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation