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LOCA::Epetra::TransposeLinearSystem::AbstractStrategy Class Referenceabstract

A pure virtual interface for solving the transpose of a linear system. More...

#include <LOCA_Epetra_TransposeLinearSystem_AbstractStrategy.H>

Inheritance diagram for LOCA::Epetra::TransposeLinearSystem::AbstractStrategy:
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Public Member Functions

 AbstractStrategy ()
 Constructor.
 
virtual ~AbstractStrategy ()
 Destructor.
 
virtual bool applyJacobianTransposeInverse (Teuchos::ParameterList &params, const NOX::Epetra::Vector &input, NOX::Epetra::Vector &result)=0
 Applies the inverse of the Jacobian matrix transpose to the given input vector and puts the answer in result. More...
 
virtual bool createJacobianTranspose ()=0
 Evaluates the Jacobian-transpose based on the solution vector x. More...
 
virtual bool createTransposePreconditioner (const NOX::Epetra::Vector &x, Teuchos::ParameterList &p)=0
 Explicitly constructs a preconditioner based on the solution vector x and the parameter list p. More...
 
virtual Teuchos::RCP
< Epetra_Operator
getJacobianTransposeOperator ()=0
 Get Jacobian-transpose operator.
 
virtual Teuchos::RCP
< Epetra_Operator
getTransposePreconditioner ()=0
 Get transpose-preconditioner.
 
virtual void setJacobianTransposeOperator (const Teuchos::RCP< Epetra_Operator > &new_jac_trans)=0
 Set Jacobian-transpose operator.
 
virtual void setTransposePreconditioner (const Teuchos::RCP< Epetra_Operator > &new_prec_trans)=0
 Set transpose-preconditioner.
 

Detailed Description

A pure virtual interface for solving the transpose of a linear system.

Member Function Documentation

virtual bool LOCA::Epetra::TransposeLinearSystem::AbstractStrategy::applyJacobianTransposeInverse ( Teuchos::ParameterList params,
const NOX::Epetra::Vector input,
NOX::Epetra::Vector result 
)
pure virtual

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

Computes

\[ v = J^{-T} u, \]

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 LOCA::Epetra::TransposeLinearSystem::ExplicitTranspose, LOCA::Epetra::TransposeLinearSystem::TransposePreconditioner, and LOCA::Epetra::TransposeLinearSystem::LeftPreconditioning.

Referenced by LOCA::BorderedSolver::EpetraHouseholder::solveTranspose().

virtual bool LOCA::Epetra::TransposeLinearSystem::AbstractStrategy::createJacobianTranspose ( )
pure virtual

Evaluates the Jacobian-transpose based on the solution vector x.

Note: For flexibility, this method does not compute the original Jacobian matrix. It uses whatever is currently stored in the linear system.

Implemented in LOCA::Epetra::TransposeLinearSystem::ExplicitTranspose, LOCA::Epetra::TransposeLinearSystem::TransposePreconditioner, and LOCA::Epetra::TransposeLinearSystem::LeftPreconditioning.

Referenced by LOCA::Epetra::Group::applyJacobianTransposeInverse(), LOCA::Epetra::Group::applyJacobianTransposeInverseMultiVector(), and LOCA::BorderedSolver::EpetraHouseholder::solveTranspose().

virtual bool LOCA::Epetra::TransposeLinearSystem::AbstractStrategy::createTransposePreconditioner ( const NOX::Epetra::Vector x,
Teuchos::ParameterList p 
)
pure virtual

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

Note: x is only needed for user-supplied preconditioners. When using a built-in preconditioner (e.g., Ifpack), x will note be used.

Implemented in LOCA::Epetra::TransposeLinearSystem::ExplicitTranspose, LOCA::Epetra::TransposeLinearSystem::TransposePreconditioner, and LOCA::Epetra::TransposeLinearSystem::LeftPreconditioning.

Referenced by LOCA::BorderedSolver::EpetraHouseholder::solveTranspose().


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