LOCA::BorderedSystem::LAPACKDirectSolve Class Reference

Bordered system solver strategy based on direct factorization. More...

#include <LOCA_BorderedSystem_LAPACKDirectSolve.H>

Inheritance diagram for LOCA::BorderedSystem::LAPACKDirectSolve:

[legend]Collaboration diagram for LOCA::BorderedSystem::LAPACKDirectSolve:[legend]List of all members.


Public Member Functions
	LAPACKDirectSolve (const Teuchos::RefCountPtr< LOCA::GlobalData > &global_data, const Teuchos::RefCountPtr< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RefCountPtr< NOX::Parameter::List > &solverParams)
	Constructor.
virtual	~LAPACKDirectSolve ()
	Destructor.
virtual void	setIsContiguous (bool flag)
	Set flag indicating whether F and A are stored in a continguous multivector.
virtual void	setMatrixBlocks (const Teuchos::RefCountPtr< const NOX::Abstract::Group > &group, const Teuchos::RefCountPtr< const NOX::Abstract::MultiVector > &blockA, const Teuchos::RefCountPtr< const LOCA::MultiContinuation::ConstraintInterface > &blockB, const Teuchos::RefCountPtr< const NOX::Abstract::MultiVector::DenseMatrix > &blockC)
	Set blocks.
virtual NOX::Abstract::Group::ReturnType	apply (const NOX::Abstract::MultiVector &X, const NOX::Abstract::MultiVector::DenseMatrix &Y, NOX::Abstract::MultiVector &U, NOX::Abstract::MultiVector::DenseMatrix &V) const
	Computed extended matrix-multivector product.
virtual NOX::Abstract::Group::ReturnType	applyTranspose (const NOX::Abstract::MultiVector &X, const NOX::Abstract::MultiVector::DenseMatrix &Y, NOX::Abstract::MultiVector &U, NOX::Abstract::MultiVector::DenseMatrix &V) const
	Computed extended matrix transpose-multivector product.
virtual NOX::Abstract::Group::ReturnType	applyInverse (NOX::Parameter::List &params, 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 defined above using bordering.
Protected Attributes
Teuchos::RefCountPtr< LOCA::GlobalData >	globalData
	Global data object.
Teuchos::RefCountPtr< NOX::Parameter::List >	solverParams
	Solver parameters.
Teuchos::RefCountPtr< const LOCA::LAPACK::Group >	grp
	Pointer to group storing J.
Teuchos::RefCountPtr< const NOX::Abstract::MultiVector >	A
	Pointer to A block.
Teuchos::RefCountPtr< const LOCA::MultiContinuation::ConstraintInterfaceMVDX >	B
	Pointer to B block.
Teuchos::RefCountPtr< const NOX::Abstract::MultiVector::DenseMatrix >	C
	Pointer to C block.
Teuchos::RefCountPtr< NOX::LAPACK::Matrix >	augmentedJ
	The augmented Jacobian matrix.
vector< int >	pivots
	Pivots used when factoring augmented Jacobian.
int	n
	Jacobian dimension.
int	m
	Number of additional rows/columns.
int	N
	Size of augmented Jacobian.
bool	isZeroA
	flag indicating whether A block is zero
bool	isZeroB
	flag indicating whether B block is zero
bool	isZeroC
	flag indicating whether C block is zero
bool	isZeroF
	flag indicating whether F block is zero
bool	isZeroG
	flag indicating whether G block is zero
bool	isContiguous
	flag indicating whether F and A are contiguous

Detailed Description

Bordered system solver strategy based on direct factorization.

This class solves the extended system of equations

$\begin{bmatrix} J & A \\ B^T & C \end{bmatrix} \begin{bmatrix} X \\ Y \end{bmatrix} = \begin{bmatrix} F \\ G \end{bmatrix}$

using a direct solve by augmenting the $J$ with $A$ , $B$ , and $C$ . To support this, the group representing $J$ must be a LOCA::LAPACK::Group and the contraint object representing $B$ must be a LOCA::MultiContinuation::ConstraintInterfaceMVDX.

Constructor & Destructor Documentation

LOCA::BorderedSystem::LAPACKDirectSolve::LAPACKDirectSolve ( const Teuchos::RefCountPtr< LOCA::GlobalData > & global_data,

const Teuchos::RefCountPtr< LOCA::Parameter::SublistParser > & topParams,

const Teuchos::RefCountPtr< NOX::Parameter::List > & solverParams

)

Constructor.

Parameters:

global_data [in] Global data object

topParams [in] Parsed top-level parameter list

solverParams [in] Bordered solver parameters. Currently none are referenced.

Member Function Documentation

NOX::Abstract::Group::ReturnType LOCA::BorderedSystem::LAPACKDirectSolve::apply ( const NOX::Abstract::MultiVector & X,

const NOX::Abstract::MultiVector::DenseMatrix & Y,

NOX::Abstract::MultiVector & U,

NOX::Abstract::MultiVector::DenseMatrix & V

) const [virtual]

Computed extended matrix-multivector product.
Computes
$\begin{bmatrix} U \\ V \end{bmatrix} = \begin{bmatrix} J & A \\ B^T & C \end{bmatrix} \begin{bmatrix} X \\ Y \end{bmatrix} = \begin{bmatrix} J*X + A*Y \\ B^T*X + C*Y \end{bmatrix}.$

Implements LOCA::BorderedSystem::AbstractStrategy.

NOX::Abstract::Group::ReturnType LOCA::BorderedSystem::LAPACKDirectSolve::applyInverse ( NOX::Parameter::List & params,

const NOX::Abstract::MultiVector * F,

const NOX::Abstract::MultiVector::DenseMatrix * G,

NOX::Abstract::MultiVector & X,

NOX::Abstract::MultiVector::DenseMatrix & Y

) const [virtual]

Solves the extended system as defined above using bordering.
The params argument is the linear solver parameters. If isZeroF or isZeroG is true, than the corresponding F or G pointers may be NULL.
Implements LOCA::BorderedSystem::AbstractStrategy.

NOX::Abstract::Group::ReturnType LOCA::BorderedSystem::LAPACKDirectSolve::applyTranspose ( const NOX::Abstract::MultiVector & X,

const NOX::Abstract::MultiVector::DenseMatrix & Y,

NOX::Abstract::MultiVector & U,

NOX::Abstract::MultiVector::DenseMatrix & V

) const [virtual]

Computed extended matrix transpose-multivector product.
Computes
$\begin{bmatrix} U \\ V \end{bmatrix} = \begin{bmatrix} J^T & B \\ A^T & C \end{bmatrix} \begin{bmatrix} X \\ Y \end{bmatrix} = \begin{bmatrix} J^T*X + B*Y \\ A^T*X + C^T*Y \end{bmatrix}.$

Implements LOCA::BorderedSystem::AbstractStrategy.

void LOCA::BorderedSystem::LAPACKDirectSolve::setMatrixBlocks ( const Teuchos::RefCountPtr< const NOX::Abstract::Group > & group,

const Teuchos::RefCountPtr< const NOX::Abstract::MultiVector > & blockA,

const Teuchos::RefCountPtr< const LOCA::MultiContinuation::ConstraintInterface > & blockB,

const Teuchos::RefCountPtr< const NOX::Abstract::MultiVector::DenseMatrix > & blockC

) [virtual]

Set blocks.
The blockA or blockC pointer may be null if either is zero. Whether block B is zero will be determined by querying blockB via ConstraintInterface::isConstraintDerivativesXZero.
Implements LOCA::BorderedSystem::AbstractStrategy.

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

LOCA_BorderedSystem_LAPACKDirectSolve.H
LOCA_BorderedSystem_LAPACKDirectSolve.C

Generated on Thu Sep 18 12:40:43 2008 for NOX by

1.3.9.1

LOCA::BorderedSystem::LAPACKDirectSolve Class Reference

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation