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

#include <LOCA_BorderedSolver_LAPACKDirectSolve.H>

Inheritance diagram for LOCA::BorderedSolver::LAPACKDirectSolve:

Collaboration diagram for LOCA::BorderedSolver::LAPACKDirectSolve:

Public Member Functions
	LAPACKDirectSolve (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RCP< Teuchos::ParameterList > &solverParams)
	Constructor. More...

virtual	~LAPACKDirectSolve ()
	Destructor.

virtual void	setMatrixBlocks (const Teuchos::RCP< const LOCA::BorderedSolver::AbstractOperator > &op, const Teuchos::RCP< const NOX::Abstract::MultiVector > &blockA, const Teuchos::RCP< const LOCA::MultiContinuation::ConstraintInterface > &blockB, const Teuchos::RCP< const NOX::Abstract::MultiVector::DenseMatrix > &blockC)
	Set blocks. More...

virtual NOX::Abstract::Group::ReturnType	initForSolve ()
	Intialize solver for a solve. More...

virtual NOX::Abstract::Group::ReturnType	initForTransposeSolve ()
	Intialize solver for a transpose solve. More...

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. More...

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. More...

virtual NOX::Abstract::Group::ReturnType	applyInverse (Teuchos::ParameterList &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 Gaussian Elimination. More...

virtual NOX::Abstract::Group::ReturnType	applyInverseTranspose (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector F, const NOX::Abstract::MultiVector::DenseMatrix G, NOX::Abstract::MultiVector &X, NOX::Abstract::MultiVector::DenseMatrix &Y) const
	Solves the transpose of the extended system as defined above. More...

Public Member Functions inherited from LOCA::BorderedSolver::AbstractStrategy
	AbstractStrategy ()
	Constructor.

virtual	~AbstractStrategy ()
	Destructor.

virtual void	setMatrixBlocksMultiVecConstraint (const Teuchos::RCP< const LOCA::BorderedSolver::AbstractOperator > &op, const Teuchos::RCP< const NOX::Abstract::MultiVector > &blockA, const Teuchos::RCP< const NOX::Abstract::MultiVector > &blockB, const Teuchos::RCP< const NOX::Abstract::MultiVector::DenseMatrix > &blockC)
	Set blocks with multivector constraint. More...

Protected Member Functions
NOX::Abstract::Group::ReturnType	solve (bool trans, Teuchos::ParameterList &params, const NOX::Abstract::MultiVector F, const NOX::Abstract::MultiVector::DenseMatrix G, NOX::Abstract::MultiVector &X, NOX::Abstract::MultiVector::DenseMatrix &Y) const
	Solve linear system.

Protected Attributes
Teuchos::RCP< LOCA::GlobalData >	globalData
	Global data object.

Teuchos::RCP < Teuchos::ParameterList >	solverParams
	Solver parameters.

Teuchos::RCP< const LOCA::LAPACK::Group >	grp
	Pointer to group.

Teuchos::RCP< const LOCA::BorderedSolver::AbstractOperator >	op
	Pointer to operator.

Teuchos::RCP< const NOX::Abstract::MultiVector >	A
	Pointer to A block.

Teuchos::RCP< const LOCA::MultiContinuation::ConstraintInterfaceMVDX >	B
	Pointer to B block.

Teuchos::RCP< const NOX::Abstract::MultiVector::DenseMatrix >	C
	Pointer to C block.

Teuchos::RCP < NOX::LAPACK::LinearSolver < double > >	augJacSolver
	The augmented Jacobian matrix solver.

int	n
	Matrix dimension.

int	m
	Number of additional rows/columns.

int	N
	Size of augmented matrix.

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	isComplex
	flag indicating whether we are solving the complex matrix or not

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::BorderedSolver::LAPACKDirectSolve::LAPACKDirectSolve	(	const Teuchos::RCP< LOCA::GlobalData > &	global_data,
		const Teuchos::RCP< LOCA::Parameter::SublistParser > &	topParams,
		const Teuchos::RCP< Teuchos::ParameterList > &	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::BorderedSolver::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::BorderedSolver::AbstractStrategy.

References NOX::Abstract::Group::Failed, Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::multiply(), Teuchos::NO_TRANS, and NOX::Abstract::MultiVector::update().

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LAPACKDirectSolve::applyInverse	(	Teuchos::ParameterList &	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 Gaussian Elimination.

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::BorderedSolver::AbstractStrategy.

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LAPACKDirectSolve::applyInverseTranspose	(	Teuchos::ParameterList &	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 transpose of the extended system as defined above.

The params argument is the linear solver parameters.

Implements LOCA::BorderedSolver::AbstractStrategy.

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::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::BorderedSolver::AbstractStrategy.

References NOX::Abstract::Group::Failed, Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::multiply(), NOX::Abstract::MultiVector::multiply(), Teuchos::NO_TRANS, and Teuchos::TRANS.

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LAPACKDirectSolve::initForSolve ( )

virtual

Intialize solver for a solve.

This should be called after setMatrixBlocks(), but before applyInverse().

Implements LOCA::BorderedSolver::AbstractStrategy.

References NOX::Abstract::Group::Ok.

NOX::Abstract::Group::ReturnType LOCA::BorderedSolver::LAPACKDirectSolve::initForTransposeSolve ( )

virtual

Intialize solver for a transpose solve.

This should be called after setMatrixBlocks(), but before applyInverseTranspose().

Implements LOCA::BorderedSolver::AbstractStrategy.

References NOX::Abstract::Group::Ok.

void LOCA::BorderedSolver::LAPACKDirectSolve::setMatrixBlocks	(	const Teuchos::RCP< const LOCA::BorderedSolver::AbstractOperator > &	op,
		const Teuchos::RCP< const NOX::Abstract::MultiVector > &	blockA,
		const Teuchos::RCP< const LOCA::MultiContinuation::ConstraintInterface > &	blockB,
		const Teuchos::RCP< 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::BorderedSolver::AbstractStrategy.

References LOCA::BorderedSolver::JacobianOperator::getGroup(), LOCA::Hopf::ComplexMultiVector::getImagMultiVec(), LOCA::Hopf::ComplexMultiVector::getRealMultiVec(), NOX::LAPACK::Matrix< T >::numRows(), Teuchos::rcp(), and TEUCHOS_ASSERT.

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

LOCA_BorderedSolver_LAPACKDirectSolve.H
LOCA_BorderedSolver_LAPACKDirectSolve.C

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation