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Public Member Functions | Protected Attributes | List of all members
LOCA::BorderedSolver::LowerTriangularBlockElimination Class Reference

Block elimination strategy for solving a block lower-triangular system. More...

#include <LOCA_BorderedSolver_LowerTriangularBlockElimination.H>

Public Member Functions

 LowerTriangularBlockElimination (const Teuchos::RCP< LOCA::GlobalData > &global_data)
 Constructor.
 
virtual ~LowerTriangularBlockElimination ()
 Destructor.
 
NOX::Abstract::Group::ReturnType solve (Teuchos::ParameterList &params, const LOCA::BorderedSolver::AbstractOperator &op, const LOCA::MultiContinuation::ConstraintInterface &B, const NOX::Abstract::MultiVector::DenseMatrix &C, const NOX::Abstract::MultiVector *F, const NOX::Abstract::MultiVector::DenseMatrix *G, NOX::Abstract::MultiVector &X, NOX::Abstract::MultiVector::DenseMatrix &Y) const
 Solves the extended system as described above with B specified as a LOCA::MultiContinuation::ConstraintInterface object.
 
NOX::Abstract::Group::ReturnType solve (Teuchos::ParameterList &params, const LOCA::BorderedSolver::AbstractOperator &op, const NOX::Abstract::MultiVector &B, const NOX::Abstract::MultiVector::DenseMatrix &C, const NOX::Abstract::MultiVector *F, const NOX::Abstract::MultiVector::DenseMatrix *G, NOX::Abstract::MultiVector &X, NOX::Abstract::MultiVector::DenseMatrix &Y) const
 Solves the extended system as described above with B specified as a NOX::Abstract::MultiVector.
 
NOX::Abstract::Group::ReturnType solveTranspose (Teuchos::ParameterList &params, const LOCA::BorderedSolver::AbstractOperator &op, const LOCA::MultiContinuation::ConstraintInterface &B, const NOX::Abstract::MultiVector::DenseMatrix &C, const NOX::Abstract::MultiVector *F, const NOX::Abstract::MultiVector::DenseMatrix *G, NOX::Abstract::MultiVector &X, NOX::Abstract::MultiVector::DenseMatrix &Y) const
 Solves the extended system using the tranpose of J and C as described above with B specified as a LOCA::MultiContinuation::ConstraintInterface object.
 
NOX::Abstract::Group::ReturnType solveTranspose (Teuchos::ParameterList &params, const LOCA::BorderedSolver::AbstractOperator &op, const NOX::Abstract::MultiVector &B, const NOX::Abstract::MultiVector::DenseMatrix &C, const NOX::Abstract::MultiVector *F, const NOX::Abstract::MultiVector::DenseMatrix *G, NOX::Abstract::MultiVector &X, NOX::Abstract::MultiVector::DenseMatrix &Y) const
 Solves the extended system using the tranpose of J and C as described above with B specified as a NOX::Abstract::MultiVector object.
 

Protected Attributes

Teuchos::RCP< LOCA::GlobalDataglobalData
 Global data object.
 

Detailed Description

Block elimination strategy for solving a block lower-triangular system.

This class solves the extended system of equations

\[
    \begin{bmatrix}
       op(J) &   0    \\
       B^T   & op(C)
    \end{bmatrix}
    \begin{bmatrix}
       X \\
       Y
    \end{bmatrix} =
    \begin{bmatrix}
       F \\
       G
    \end{bmatrix}
\]

via block elimination:

\[
    \begin{aligned}
       X &= op(J)^{-1} F \\
       Y &= op(C)^{-1}(G-B^T X)
    \end{aligned}
\]

where $op$ represents either the identity operation or the transpose. $C$ must be nonzero, while $B$, $F$ or $G$ may be zero. $B$ may be specified either as a NOX::Abstract::MultiVector or a LOCA::MultiContinuation::ConstraintInterface object. The solve for the non-transposed system is implemented by the solve() method, while the solve for the transposed system is implemented by the solveTranspose() method.

Constructor & Destructor Documentation

◆ LowerTriangularBlockElimination()

LOCA::BorderedSolver::LowerTriangularBlockElimination::LowerTriangularBlockElimination ( const Teuchos::RCP< LOCA::GlobalData > &  global_data)

Constructor.

Parameters
global_data[in] Global data object

Member Function Documentation

◆ solve() [1/2]

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LowerTriangularBlockElimination::solve ( Teuchos::ParameterList &  params,
const LOCA::BorderedSolver::AbstractOperator op,
const LOCA::MultiContinuation::ConstraintInterface B,
const NOX::Abstract::MultiVector::DenseMatrix C,
const NOX::Abstract::MultiVector F,
const NOX::Abstract::MultiVector::DenseMatrix G,
NOX::Abstract::MultiVector X,
NOX::Abstract::MultiVector::DenseMatrix Y 
) const

◆ solve() [2/2]

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LowerTriangularBlockElimination::solve ( Teuchos::ParameterList &  params,
const LOCA::BorderedSolver::AbstractOperator op,
const NOX::Abstract::MultiVector B,
const NOX::Abstract::MultiVector::DenseMatrix C,
const NOX::Abstract::MultiVector F,
const NOX::Abstract::MultiVector::DenseMatrix G,
NOX::Abstract::MultiVector X,
NOX::Abstract::MultiVector::DenseMatrix Y 
) const

Solves the extended system as described above with B specified as a NOX::Abstract::MultiVector.

Either F, or G may be zero by passing NULL.

◆ solveTranspose() [1/2]

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LowerTriangularBlockElimination::solveTranspose ( Teuchos::ParameterList &  params,
const LOCA::BorderedSolver::AbstractOperator op,
const LOCA::MultiContinuation::ConstraintInterface B,
const NOX::Abstract::MultiVector::DenseMatrix C,
const NOX::Abstract::MultiVector F,
const NOX::Abstract::MultiVector::DenseMatrix G,
NOX::Abstract::MultiVector X,
NOX::Abstract::MultiVector::DenseMatrix Y 
) const

◆ solveTranspose() [2/2]

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LowerTriangularBlockElimination::solveTranspose ( Teuchos::ParameterList &  params,
const LOCA::BorderedSolver::AbstractOperator op,
const NOX::Abstract::MultiVector B,
const NOX::Abstract::MultiVector::DenseMatrix C,
const NOX::Abstract::MultiVector F,
const NOX::Abstract::MultiVector::DenseMatrix G,
NOX::Abstract::MultiVector X,
NOX::Abstract::MultiVector::DenseMatrix Y 
) const

Solves the extended system using the tranpose of J and C as described above with B specified as a NOX::Abstract::MultiVector object.

Either F, or G may be zero by passing NULL.


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