An interface for groups that are bordered systems. More...

#include <LOCA_BorderedSystem_AbstractGroup.H>

Inheritance diagram for LOCA::BorderedSystem::AbstractGroup:

Collaboration diagram for LOCA::BorderedSystem::AbstractGroup:

Public Member Functions
	AbstractGroup ()
	Constructor.
virtual	~AbstractGroup ()
	Destructor.
Pure virtual methods
These methods must be defined by any concrete implementation
virtual int	getBorderedWidth () const =0
	Return the total width of the bordered rows/columns.
virtual Teuchos::RCP< const NOX::Abstract::Group >	getUnborderedGroup () const =0
	Get bottom-level unbordered group.
virtual bool	isCombinedAZero () const =0
	Indicates whether combined A block is zero.
virtual bool	isCombinedBZero () const =0
	Indicates whether combined B block is zero.
virtual bool	isCombinedCZero () const =0
	Indicates whether combined C block is zero.
virtual void	extractSolutionComponent (const NOX::Abstract::MultiVector &v, NOX::Abstract::MultiVector &v_x) const =0
virtual void	extractParameterComponent (bool use_transpose, const NOX::Abstract::MultiVector &v, NOX::Abstract::MultiVector::DenseMatrix &v_p) const =0
virtual void	loadNestedComponents (const NOX::Abstract::MultiVector &v_x, const NOX::Abstract::MultiVector::DenseMatrix &v_p, NOX::Abstract::MultiVector &v) const =0
virtual void	fillA (NOX::Abstract::MultiVector &A) const =0
	Fill the combined A block as described above.
virtual void	fillB (NOX::Abstract::MultiVector &B) const =0
	Fill the combined B block as described above.
virtual void	fillC (NOX::Abstract::MultiVector::DenseMatrix &C) const =0
	Fill the combined C block as described above.

Detailed Description

An interface for groups that are bordered systems.

This class provides an interface for groups whose Jacobian is of the form

$\begin{bmatrix} J & A \\ B^T & C \end{bmatrix}$

where $A$ and $B$ are multivectors and $C$ is a dense matrix. It provides methods for determining the width of the bordered rows/columns and for extracting these components. It is intended to be a recusive interface, in that if the group representing $J$ also has this form, the extracted rows/columns should be the combined rows/columns of this group and the underlying group (and so on).

Member Function Documentation

virtual void LOCA::BorderedSystem::AbstractGroup::extractParameterComponent	(	bool	use_transpose,
		const NOX::Abstract::MultiVector &	v,
		NOX::Abstract::MultiVector::DenseMatrix &	v_p
	)		const `[pure virtual]`

Given the vector v, extract the parameter components of all of the nested subvectors in v down to the solution component for the unbordered group.

Implemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, and LOCA::MultiContinuation::ExtendedGroup.

virtual void LOCA::BorderedSystem::AbstractGroup::extractSolutionComponent	(	const NOX::Abstract::MultiVector &	v,
		NOX::Abstract::MultiVector &	v_x
	)		const `[pure virtual]`

Given the vector v, extract the underlying solution component corresponding to the unbordered group.

Implemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, and LOCA::MultiContinuation::ExtendedGroup.

virtual void LOCA::BorderedSystem::AbstractGroup::loadNestedComponents	(	const NOX::Abstract::MultiVector &	v_x,
		const NOX::Abstract::MultiVector::DenseMatrix &	v_p,
		NOX::Abstract::MultiVector &	v
	)		const `[pure virtual]`

Given the solution component v_x and combined parameter components v_p, distribute these components through the nested sub-vectors in v.

Implemented in LOCA::TurningPoint::MinimallyAugmented::ExtendedGroup, LOCA::Hopf::MinimallyAugmented::ExtendedGroup, LOCA::Pitchfork::MinimallyAugmented::ExtendedGroup, LOCA::Homotopy::DeflatedGroup, LOCA::MultiContinuation::ConstrainedGroup, and LOCA::MultiContinuation::ExtendedGroup.

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

LOCA_BorderedSystem_AbstractGroup.H

Public Member Functions

Detailed Description

Member Function Documentation