Pure virtual class interface for allowing different linear solvers to be used by the NOX::Epetra::Group. More...

#include <NOX_Epetra_LinearSystem.H>

Inheritance diagram for NOX::Epetra::LinearSystem:

Public Types
enum	PreconditionerReusePolicyType { PRPT_REBUILD, PRPT_RECOMPUTE, PRPT_REUSE }
	Determines handling of the preconditioner between nonlinear iterations. More...

Public Member Functions
	LinearSystem ()
	Constructor.

virtual	~LinearSystem ()
	Destructor.

virtual bool	applyJacobian (const NOX::Epetra::Vector &input, NOX::Epetra::Vector &result) const =0
	Applies Jacobian to the given input vector and puts the answer in the result. More...

virtual bool	applyJacobianTranspose (const NOX::Epetra::Vector &input, NOX::Epetra::Vector &result) const =0
	Applies Jacobian-Transpose to the given input vector and puts the answer in the result. More...

virtual bool	applyJacobianInverse (Teuchos::ParameterList &params, const NOX::Epetra::Vector &input, NOX::Epetra::Vector &result)=0
	Applies the inverse of the Jacobian matrix to the given input vector and puts the answer in result. More...

virtual bool	applyRightPreconditioning (bool useTranspose, Teuchos::ParameterList &params, const NOX::Epetra::Vector &input, NOX::Epetra::Vector &result) const =0
	Apply right preconditiong to the given input vector. More...

virtual Teuchos::RCP < NOX::Epetra::Scaling >	getScaling ()=0
	Get the scaling object.

virtual void	resetScaling (const Teuchos::RCP< NOX::Epetra::Scaling > &s)=0
	Sets the diagonal scaling vector(s) used in scaling the linear system. More...

virtual bool	computeJacobian (const NOX::Epetra::Vector &x)=0
	Evaluates the Jacobian based on the solution vector x.

virtual bool	createPreconditioner (const NOX::Epetra::Vector &x, Teuchos::ParameterList &p, bool recomputeGraph) const =0
	Explicitly constructs a preconditioner based on the solution vector x and the parameter list p. More...

virtual bool	destroyPreconditioner () const =0
	Deletes the preconditioner. More...

virtual bool	recomputePreconditioner (const NOX::Epetra::Vector &x, Teuchos::ParameterList &linearSolverParams) const =0
	Recalculates the preconditioner using an already allocated graph. More...

virtual PreconditionerReusePolicyType	getPreconditionerPolicy (bool advanceReuseCounter=true)=0
	Evaluates the preconditioner policy at the current state. More...

virtual bool	isPreconditionerConstructed () const =0
	Indicates whether a preconditioner has been constructed.

virtual bool	hasPreconditioner () const =0
	Indicates whether the linear system has a preconditioner.

virtual Teuchos::RCP< const Epetra_Operator >	getJacobianOperator () const =0
	Return Jacobian operator.

virtual Teuchos::RCP < Epetra_Operator >	getJacobianOperator ()=0
	Return Jacobian operator.

virtual Teuchos::RCP< const Epetra_Operator >	getGeneratedPrecOperator () const =0
	Return preconditioner operator. More...

virtual Teuchos::RCP < Epetra_Operator >	getGeneratedPrecOperator ()=0
	Return preconditioner operator.

virtual void	setJacobianOperatorForSolve (const Teuchos::RCP< const Epetra_Operator > &solveJacOp)=0
	Set Jacobian operator for solve.

virtual void	setPrecOperatorForSolve (const Teuchos::RCP< const Epetra_Operator > &solvePrecOp)=0
	Set preconditioner operator for solve. More...

virtual int	getNumLinearSolves ()
	Statistics for number of times the linear solver has been called (def: 0)

virtual int	getLinearItersLastSolve ()
	Statistics for number of iterations taken in last linear solve (def: 0)

virtual int	getLinearItersTotal ()
	Statistics for cumulative number of iterations in all linear solve (def: 0)

virtual double	getAchievedTol ()
	Statistics for the achieved tolerance of last linear solve (def: 0.0)

Detailed Description

Pure virtual class interface for allowing different linear solvers to be used by the NOX::Epetra::Group.

Member Enumeration Documentation

enum NOX::Epetra::LinearSystem::PreconditionerReusePolicyType

Determines handling of the preconditioner between nonlinear iterations.

Enumerator
PRPT_REBUILD	Destroy and recreate the preconditioner between nonlinear iterations.
PRPT_RECOMPUTE	Recompute using already allocated structures for preconditioner.
PRPT_REUSE	Reuse the preconditioner from previous iteration.

Member Function Documentation

virtual bool NOX::Epetra::LinearSystem::applyJacobian	(	const NOX::Epetra::Vector &	input,
		NOX::Epetra::Vector &	result
	)		const

pure virtual

Applies Jacobian to the given input vector and puts the answer in the result.

Computes

$v = J u,$

where $J$ is the Jacobian, $u$ is the input vector, and $v$ is the result vector. Returns true if successful.

Implemented in NOX::Epetra::LinearSystemAztecOO.

virtual bool NOX::Epetra::LinearSystem::applyJacobianInverse	(	Teuchos::ParameterList &	params,
		const NOX::Epetra::Vector &	input,
		NOX::Epetra::Vector &	result
	)

pure virtual

Applies the inverse of the Jacobian matrix to the given input vector and puts the answer in result.

Computes

$v = J^{-1} u,$

where $J$ is the Jacobian, $u$ is the input vector, and $v$ is the result vector.

The parameter list contains the linear solver options.

Implemented in NOX::Epetra::LinearSystemAztecOO.

Referenced by LOCA::BorderedSolver::EpetraAugmented::applyInverse().

virtual bool NOX::Epetra::LinearSystem::applyJacobianTranspose	(	const NOX::Epetra::Vector &	input,
		NOX::Epetra::Vector &	result
	)		const

pure virtual

Applies Jacobian-Transpose to the given input vector and puts the answer in the result.

Computes

$v = J^T u,$

where $J$ is the Jacobian, $u$ is the input vector, and $v$ is the result vector. Returns true if successful.

Implemented in NOX::Epetra::LinearSystemAztecOO.

virtual bool NOX::Epetra::LinearSystem::applyRightPreconditioning	(	bool	useTranspose,
		Teuchos::ParameterList &	params,
		const NOX::Epetra::Vector &	input,
		NOX::Epetra::Vector &	result
	)		const

pure virtual

Apply right preconditiong to the given input vector.

Let $M$ be a right preconditioner for the Jacobian $J$ ; in other words, $M$ is a matrix such that

$JM \approx I.$

Compute

$u = M^{-1} v,$

where $u$ is the input vector and $v$ is the result vector.

If useTranspose is true, then the transpose of the preconditioner is applied:

$u = {M^{-1}}^T v,$

The transpose preconditioner is currently only required for Tensor methods.

The parameter list contains the linear solver options.

Implemented in NOX::Epetra::LinearSystemAztecOO.

virtual bool NOX::Epetra::LinearSystem::createPreconditioner	(	const NOX::Epetra::Vector &	x,
		Teuchos::ParameterList &	p,
		bool	recomputeGraph
	)		const

pure virtual

Explicitly constructs a preconditioner based on the solution vector x and the parameter list p.

The user has the option of recomputing the graph when a new preconditioner is created. The NOX::Epetra::Group controls the isValid flag for the preconditioner and will control when to call this.

Implemented in NOX::Epetra::LinearSystemAztecOO.

Referenced by LOCA::BorderedSolver::EpetraAugmented::applyInverse().

virtual bool NOX::Epetra::LinearSystem::destroyPreconditioner ( ) const

pure virtual

Deletes the preconditioner.

The NOX::Epetra::Group controls the isValid flag for the preconditioner and will control when to call this.

Implemented in NOX::Epetra::LinearSystemAztecOO.

Referenced by LOCA::Epetra::Group::applyComplexTransposeInverseMultiVector(), LOCA::BorderedSolver::EpetraAugmented::applyInverse(), LOCA::Epetra::Group::applyJacobianTransposeInverse(), and LOCA::Epetra::Group::applyJacobianTransposeInverseMultiVector().

virtual Teuchos::RCP<const Epetra_Operator> NOX::Epetra::LinearSystem::getGeneratedPrecOperator ( ) const

pure virtual

Return preconditioner operator.

Note: This should only be called if hasPreconditioner() returns true.

Implemented in NOX::Epetra::LinearSystemAztecOO.

Referenced by LOCA::BorderedSolver::EpetraAugmented::applyInverse().

virtual PreconditionerReusePolicyType NOX::Epetra::LinearSystem::getPreconditionerPolicy ( bool advanceReuseCounter = true )

pure virtual

Evaluates the preconditioner policy at the current state.

NOTE: This can change values between nonlienar iterations. It is not a static value.

Implemented in NOX::Epetra::LinearSystemAztecOO.

virtual bool NOX::Epetra::LinearSystem::recomputePreconditioner	(	const NOX::Epetra::Vector &	x,
		Teuchos::ParameterList &	linearSolverParams
	)		const

pure virtual

Recalculates the preconditioner using an already allocated graph.

Use this to compute a new preconditioner while using the same graph for the preconditioner. This avoids deleting and reallocating the memory required for the preconditioner and results in a big speed-up for large-scale jobs.

Implemented in NOX::Epetra::LinearSystemAztecOO.

virtual void NOX::Epetra::LinearSystem::resetScaling ( const Teuchos::RCP< NOX::Epetra::Scaling > & s )

pure virtual

Sets the diagonal scaling vector(s) used in scaling the linear system.

See NOX::Epetra::Scaling for details on how to specify scaling of the linear system.

Implemented in NOX::Epetra::LinearSystemAztecOO.

virtual void NOX::Epetra::LinearSystem::setPrecOperatorForSolve ( const Teuchos::RCP< const Epetra_Operator > & solvePrecOp )

pure virtual

Set preconditioner operator for solve.

Note: This should only be called if hasPreconditioner() returns true.

Implemented in NOX::Epetra::LinearSystemAztecOO.

Referenced by LOCA::BorderedSolver::EpetraAugmented::applyInverse().