A concrete implementation of the NOX::Abstract::Group using Thyra. More...

#include <NOX_Thyra_Group.H>

Inheritance diagram for NOX::Thyra::Group:

Collaboration diagram for NOX::Thyra::Group:

Public Member Functions
	Group (const NOX::Thyra::Vector &initialGuess, const Teuchos::RCP< const ::Thyra::ModelEvaluator< double > > &model, const Teuchos::RCP< const ::Thyra::VectorBase< double > > &weightVector=Teuchos::null, const Teuchos::RCP< const ::Thyra::VectorBase< double > > &rightWeightVector=Teuchos::null, const bool rightScalingFirst=false)
	The default constructor that uses the linear solver from the ModelEvaluator. More...

	Group (const NOX::Thyra::Vector &initialGuess, const Teuchos::RCP< const ::Thyra::ModelEvaluator< double > > &model, const Teuchos::RCP< ::Thyra::LinearOpBase< double > > &linearOp, const Teuchos::RCP< const ::Thyra::LinearOpWithSolveFactoryBase< double > > &lowsFactory, const Teuchos::RCP< ::Thyra::PreconditionerBase< double > > &precOp, const Teuchos::RCP< ::Thyra::PreconditionerFactoryBase< double > > &precFactory, const Teuchos::RCP< const ::Thyra::VectorBase< double > > &weightVector=Teuchos::null, const Teuchos::RCP< const ::Thyra::VectorBase< double > > &rightWeightVector=Teuchos::null, const bool rightScalingFirst=false, const bool updatePreconditioner=true, const bool jacobianIsEvaluated=false)
	Power user constructor that takes explicit linear solver objects to handle different combinations. More...

	Group (const NOX::Thyra::Group &source, NOX::CopyType type=DeepCopy)
	Copy constructor.

	~Group ()
	Destructor.

NOX::Abstract::Group &	operator= (const NOX::Abstract::Group &source)
	Copies the source group into this group. More...

NOX::Abstract::Group &	operator= (const NOX::Thyra::Group &source)

Teuchos::RCP< const ::Thyra::VectorBase< double > >	get_current_x () const

Teuchos::RCP < ::Thyra::LinearOpBase < double > >	getNonconstJacobianOperator ()

Teuchos::RCP< const ::Thyra::LinearOpBase< double > >	getJacobianOperator () const

Teuchos::RCP< const ::Thyra::LinearOpBase< double > >	getScaledJacobianOperator () const

void	unscaleJacobianOperator () const

Teuchos::RCP < ::Thyra::LinearOpWithSolveBase < double > >	getNonconstJacobian ()

Teuchos::RCP< const ::Thyra::LinearOpWithSolveBase < double > >	getJacobian () const

Teuchos::RCP < ::Thyra::PreconditionerBase < double > >	getNonconstPreconditioner ()

Teuchos::RCP< const ::Thyra::PreconditionerBase < double > >	getPreconditioner () const

virtual void	logLastLinearSolveStats (NOX::SolverStats &stats) const
	Adds statistics from last linear solve to the SovlerStats object.

virtual Teuchos::RCP < NOX::Abstract::Group >	clone (NOX::CopyType type=NOX::DeepCopy) const
	Create a new Group of the same derived type as this one by cloning this one, and return a ref count pointer to the new group. More...

void	print () const
	Print out the group.

::Thyra::ModelEvaluatorBase::InArgs < double > &	getNonconstInArgs ()

const ::Thyra::ModelEvaluatorBase::InArgs < double > &	getInArgs () const

Teuchos::RCP< const ::Thyra::ModelEvaluator < double > >	getModel () const

"Compute" functions.
void	setX (const NOX::Abstract::Vector &y)
	Set the solution vector x to y. More...

void	setX (const NOX::Thyra::Vector &y)
	See above.

void	computeX (const NOX::Abstract::Group &grp, const NOX::Abstract::Vector &d, double step)
	Compute x = grp.x + step * d. More...

void	computeX (const NOX::Thyra::Group &grp, const NOX::Thyra::Vector &d, double step)
	See above.

NOX::Abstract::Group::ReturnType	computeF ()
	Compute and store F(x). More...

NOX::Abstract::Group::ReturnType	computeJacobian ()
	Compute and store Jacobian. More...

NOX::Abstract::Group::ReturnType	computeGradient ()
	Compute and store gradient. More...

NOX::Abstract::Group::ReturnType	computeNewton (Teuchos::ParameterList &params)
	Compute the Newton direction, using parameters for the linear solve. More...

Jacobian operations.
Operations using the Jacobian matrix. These may not be defined in matrix-free scenarios.
NOX::Abstract::Group::ReturnType	applyJacobian (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies Jacobian to the given input vector and puts the answer in the result. More...

NOX::Abstract::Group::ReturnType	applyJacobian (const NOX::Thyra::Vector &input, NOX::Thyra::Vector &result) const

NOX::Abstract::Group::ReturnType	applyJacobianMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyJacobian for multiple right-hand sides More...

NOX::Abstract::Group::ReturnType	applyJacobianTranspose (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies Jacobian-Transpose to the given input vector and puts the answer in the result. More...

NOX::Abstract::Group::ReturnType	applyJacobianTranspose (const NOX::Thyra::Vector &input, NOX::Thyra::Vector &result) const

NOX::Abstract::Group::ReturnType	applyJacobianTransposeMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyJacobianTranspose for multiple right-hand sides More...

NOX::Abstract::Group::ReturnType	applyJacobianInverse (Teuchos::ParameterList &params, const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies the inverse of the Jacobian matrix to the given input vector and puts the answer in result. More...

NOX::Abstract::Group::ReturnType	applyJacobianInverse (Teuchos::ParameterList &params, const NOX::Thyra::Vector &input, NOX::Thyra::Vector &result) const

NOX::Abstract::Group::ReturnType	applyJacobianInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyJacobianInverse for multiple right-hand sides More...

NOX::Abstract::Group::ReturnType	applyRightPreconditioning (bool useTranspose, Teuchos::ParameterList &params, const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Apply right preconditiong to the given input vector. More...

"Is" functions
Checks to see if various objects have been computed. Returns true if the corresponding "compute" function has been called since the last update to the solution vector (via instantiation or computeX).
bool	isF () const
	Return true if F is valid.

bool	isJacobian () const
	Return true if the Jacobian is valid. More...

bool	isGradient () const
	Return true if the gradient is valid. More...

bool	isNewton () const
	Return true if the Newton direction is valid. More...

"Get" functions
Note that these function do not check whether or not the vectors are valid. Must use the "Is" functions for that purpose.
const NOX::Abstract::Vector &	getX () const
	Return solution vector.

const NOX::Abstract::Vector &	getScaledX () const

const NOX::Abstract::Vector &	getF () const
	Return F(x)

double	getNormF () const
	Return 2-norm of F(x). More...

const NOX::Abstract::Vector &	getGradient () const
	Return gradient.

const NOX::Abstract::Vector &	getNewton () const
	Return Newton direction.

Teuchos::RCP< const NOX::Abstract::Vector >	getXPtr () const
	Return RCP to solution vector.

Teuchos::RCP< const NOX::Abstract::Vector >	getFPtr () const
	Return RCP to F(x)

Teuchos::RCP< const NOX::Abstract::Vector >	getGradientPtr () const
	Return RCP to gradient.

Teuchos::RCP< const NOX::Abstract::Vector >	getNewtonPtr () const
	Return RCP to Newton direction.

Public Member Functions inherited from NOX::Abstract::Group
	Group ()
	Constructor. More...

virtual NOX::Abstract::Group::ReturnType	applyRightPreconditioningMultiVector (bool useTranspose, Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyRightPreconditioning for multiple right-hand sides More...

virtual NOX::Abstract::Group::ReturnType	getNormLastLinearSolveResidual (double &residual) const
	Return the norm of the last linear solve residual as the result of either a call to computeNewton() or applyJacobianInverse(). More...

Protected Member Functions
void	resetIsValidFlags ()
	resets the isValid flags to false

NOX::Abstract::Group::ReturnType	applyJacobianInverseMultiVector (Teuchos::ParameterList &p, const ::Thyra::MultiVectorBase< double > &input,::Thyra::MultiVectorBase< double > &result) const
	Apply Jacobian inverse using Thyra objects.

::Thyra::ESolveMeasureNormType	getThyraNormType (const std::string &name) const

void	updateLOWS () const
	Finalizes LOWS to be a valid solver for the Jacobian.

void	scaleResidualAndJacobian () const

void	unscaleResidualAndJacobian () const

void	computeScaledSolution ()

Protected Attributes
Teuchos::RCP< const ::Thyra::ModelEvaluator < double > >	model_
	Problem interface.

Teuchos::RCP< NOX::Thyra::Vector >	x_vec_
	Solution vector.

Teuchos::RCP< NOX::Thyra::Vector >	f_vec_
	Residual vector.

Teuchos::RCP< NOX::Thyra::Vector >	newton_vec_
	Newton direction vector.

Teuchos::RCP< NOX::Thyra::Vector >	gradient_vec_
	Gradient direction vector.

Teuchos::RCP < NOX::SharedObject < ::Thyra::LinearOpWithSolveBase < double >, NOX::Thyra::Group > >	shared_jacobian_
	Shared Jacobian operator with solve.

Teuchos::RCP < ::Thyra::LinearOpBase < double > >	lop_
	Jacobian operator.

Teuchos::RCP< const ::Thyra::LinearOpWithSolveFactoryBase < double > >	lows_factory_
	Thyra LOWS factory for building Jacobians.

Teuchos::RCP< const ::Thyra::DefaultLinearOpSource < double > >	losb_
	Source base needed to create preconditioner.

Teuchos::RCP < ::Thyra::PreconditionerBase < double > >	prec_
	Preconditioner for Jacobian.

Teuchos::RCP < ::Thyra::PreconditionerFactoryBase < double > >	prec_factory_
	Preconditioner factory.

mutable::Thyra::ModelEvaluatorBase::InArgs < double >	in_args_
	Residual InArgs.

mutable::Thyra::ModelEvaluatorBase::OutArgs < double >	out_args_
	Residual OutArgs.

Teuchos::RCP< const ::Thyra::VectorBase< double > >	weight_vec_
	Optional wieghting vector for function scaling. NOX assumes that this vector can be updated in between nonlinear iterations. More...

Teuchos::RCP< const ::Thyra::VectorBase< double > >	right_weight_vec_
	Optional wieghting vector for solution (right) scaling. NOX assumes that this vector will not change during an entire nonlinear solve.

Teuchos::RCP < ::Thyra::VectorBase< double > >	inv_weight_vec_
	Inverse of weight vector used to unscale function (left) scaling. NOX assumes that this vector can be updated in between nonlinear iterations.

Teuchos::RCP < ::Thyra::VectorBase< double > >	inv_right_weight_vec_
	Inverse of weight vector used to unscale solution (right) scaling. NOX assumes that this vector will not change during an entire nonlinear solve.

Teuchos::RCP< NOX::Thyra::Vector >	scaled_x_vec_
	Scaled solution vector scaled by the.

bool	rightScalingFirst_
	Do right scaling before left scaling?

bool	updatePreconditioner_
	If set to true, the preconditioner matrix values will be automatically updated via precFactory or ModelEvalautor. If set to false, the user must manually handle updating the preconditioner.

NOX::Abstract::Group::ReturnType	last_linear_solve_status_
	The status of the last linear solve performed.

int	last_linear_solve_num_iters_
	Number of iterations for last linear solve performed.

double	last_linear_solve_achieved_tol_
	The tolerance achieved by the last linear solver.

IsValid flags
True if the current solution is up-to-date with respect to the currect solution vector.
bool	is_valid_f_

bool	is_valid_jacobian_

bool	is_valid_newton_dir_

bool	is_valid_gradient_dir_

bool	is_valid_lows_

Additional Inherited Members
Public Types inherited from NOX::Abstract::Group
enum	ReturnType { Ok, NotDefined, BadDependency, NotConverged, Failed }
	The computation of, say, the Newton direction in computeNewton() may fail in many different ways, so we have included a variety of return codes to describe the failures. Of course, we also have a code for success. More...

Detailed Description

A concrete implementation of the NOX::Abstract::Group using Thyra.

NOTE: This Group supports row sum scaling of the function (residual and Jacobian). This is enabled by setting a weight vector on the initial guess vector in the Group constructor. The residual and Jacobian must be scaled before and then unscaled after calls to construct the preconditioner and solve the linear system. This follows the nox epetra group. This design should be changed in a future nox refactor, but requires significant changes to the Group object.

Constructor & Destructor Documentation

NOX::Thyra::Group::Group	(	const NOX::Thyra::Vector &	initialGuess,
		const Teuchos::RCP< const ::Thyra::ModelEvaluator< double > > &	model,
		const Teuchos::RCP< const ::Thyra::VectorBase< double > > &	weightVector = `Teuchos::null`,
		const Teuchos::RCP< const ::Thyra::VectorBase< double > > &	rightWeightVector = `Teuchos::null`,
		const bool	rightScalingFirst = `false`
	)

The default constructor that uses the linear solver from the ModelEvaluator.

Most users should use this constructor. It is meant to be used in conjunction with a stratimikos linear solver that is built as part of the input model evaluator. For finer grained control over the use of the preconditioner and for Jacobian-Free Newton-Krylov cases, the power user constructor should be used.

Parameters

[in]	initialGuess	Initial guess for the solution vector
[in]	model	ModelEvaluator
[in]	weightVector	Optional diagonal weighting vector for the model.
[in]	rightWeightVector	Optional solution vector weighting
[in]	rightScalingFirst	Optional bool to select if right scaling should be applied before left scaling

References NOX::DeepCopy, f_vec_, gradient_vec_, in_args_, inv_right_weight_vec_, lop_, losb_, lows_factory_, model_, newton_vec_, nonnull(), Teuchos::nonnull(), out_args_, prec_, prec_factory_, Teuchos::RCP< T >::ptr(), Teuchos::rcp(), resetIsValidFlags(), right_weight_vec_, rightScalingFirst_, scaled_x_vec_, NOX::ShapeCopy, shared_jacobian_, TEUCHOS_ASSERT, weight_vec_, and x_vec_.

NOX::Thyra::Group::Group	(	const NOX::Thyra::Vector &	initialGuess,
		const Teuchos::RCP< const ::Thyra::ModelEvaluator< double > > &	model,
		const Teuchos::RCP< ::Thyra::LinearOpBase< double > > &	linearOp,
		const Teuchos::RCP< const ::Thyra::LinearOpWithSolveFactoryBase< double > > &	lowsFactory,
		const Teuchos::RCP< ::Thyra::PreconditionerBase< double > > &	precOp,
		const Teuchos::RCP< ::Thyra::PreconditionerFactoryBase< double > > &	precFactory,
		const Teuchos::RCP< const ::Thyra::VectorBase< double > > &	weightVector = `Teuchos::null`,
		const Teuchos::RCP< const ::Thyra::VectorBase< double > > &	rightWeightVector = `Teuchos::null`,
		const bool	rightScalingFirst = `false`,
		const bool	updatePreconditioner = `true`,
		const bool	jacobianIsEvaluated = `false`
	)

Power user constructor that takes explicit linear solver objects to handle different combinations.

This class allows the user to set user-defined linear operators and preconditioners (and corresponding factories). The user can set the linear_op to be a Jacobian-Free Newton Krylov operator (use the class NOX::Thyra::MatrixFreeJacobianOperator).

Parameters

[in]	initialGuess	(Required) Initial guess for the solution vector
[in]	model	(Required) ModelEvaluator
[in]	linearOp	(Optional) Forward operator for the Jacobian. Must be non-null for Newton-based solvers.
[in]	lowsFactory	(Optional) Factory for building and updating linear solver.
[in]	precOp	(Optional) Preconditioner operator. If set to Teuchos::null and a non-null prec_factory exists, the prec_op will be constructed using the preconditioner factory.
[in]	precFactory	(Optional) Factory for updating the precondiitoner. If set to Teuchos::null and there is a non-null prec_op, then the preconditioner will be updated using the model evaluator as long as the ModelEvaluator::outArgs supports W_prec.
[in]	weightVector	(Optional) diagonal weighting vector for the model.
[in]	rightWeightVector	Optional solution vector weighting
[in]	rightScalingFirst	Optional bool to select if right scaling should be applied before left scaling
[in]	updatePreconditioner	Optional bool to select if the Group should auotmatically update the preconditioner matrix values between Newton iterations
[in]	jacobianIsEvaluated	Optional bool, if true this means that the input Jacobian operator (linearOp) has been evaluated externally and is consistent with the initialGuess. In this case, the isJacobian() flag is initialized to true.

References NOX::DeepCopy, f_vec_, gradient_vec_, in_args_, inv_right_weight_vec_, Teuchos::is_null(), is_null(), lop_, losb_, lows_factory_, model_, newton_vec_, nonnull(), out_args_, prec_, prec_factory_, Teuchos::RCP< T >::ptr(), Teuchos::rcp(), resetIsValidFlags(), right_weight_vec_, rightScalingFirst_, scaled_x_vec_, NOX::ShapeCopy, shared_jacobian_, TEUCHOS_TEST_FOR_EXCEPTION, weight_vec_, and x_vec_.

Member Function Documentation

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyJacobian	(	const NOX::Abstract::Vector &	input,
		NOX::Abstract::Vector &	result
	)		const

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

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::BadDependency - If the Jacobian has not been computed
NOX::Abstract::Group::Failed - If the computation fails
NOX::Abstract::Group::Ok - Otherwise

Reimplemented from NOX::Abstract::Group.

References Teuchos::dyn_cast().

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyJacobianInverse	(	Teuchos::ParameterList &	params,
		const NOX::Abstract::Vector &	input,
		NOX::Abstract::Vector &	result
	)		const

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 "Tolerance" parameter specifies that the solution should be such that

$\frac{\| J v - u \|_2}{\max \{ 1, \|u\|_2\} } < \mbox{Tolerance}$

Returns

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::BadDependency - If has not been computed
NOX::Abstract::Group::NotConverged - If the linear solve fails to satisfy the "Tolerance" specified in params
NOX::Abstract::Group::Failed - If the computation fails
NOX::Abstract::Group::Ok - Otherwise

The parameter "Tolerance" may be added/modified in the list of parameters - this is the ideal solution tolerance for an iterative linear solve.

Reimplemented from NOX::Abstract::Group.

References Teuchos::dyn_cast().

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyJacobianInverseMultiVector	(	Teuchos::ParameterList &	params,
		const NOX::Abstract::MultiVector &	input,
		NOX::Abstract::MultiVector &	result
	)		const

virtual

applyJacobianInverse for multiple right-hand sides

The default implementation here calls applyJacobianInverse() for each right hand side serially but should be overloaded if a block solver is available.

Reimplemented from NOX::Abstract::Group.

References Teuchos::dyn_cast(), and NOX::Thyra::MultiVector::getThyraMultiVector().

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyJacobianMultiVector	(	const NOX::Abstract::MultiVector &	input,
		NOX::Abstract::MultiVector &	result
	)		const

virtual

applyJacobian for multiple right-hand sides

The default implementation here calls applyJacobian() for each right hand side serially but should be overloaded if a block method is available.

Reimplemented from NOX::Abstract::Group.

References Teuchos::dyn_cast(), NOX::Thyra::MultiVector::getThyraMultiVector(), nonnull(), NOX::Abstract::Group::Ok, Teuchos::RCP< T >::ptr(), and TEUCHOS_TEST_FOR_EXCEPTION.

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyJacobianTranspose	(	const NOX::Abstract::Vector &	input,
		NOX::Abstract::Vector &	result
	)		const

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

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::BadDependency - If has not been computed
NOX::Abstract::Group::Failed - If the computation fails
NOX::Abstract::Group::Ok - Otherwise

Reimplemented from NOX::Abstract::Group.

References Teuchos::dyn_cast().

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyJacobianTransposeMultiVector	(	const NOX::Abstract::MultiVector &	input,
		NOX::Abstract::MultiVector &	result
	)		const

virtual

applyJacobianTranspose for multiple right-hand sides

The default implementation here calls applyJacobianTranspose() for each right hand side serially but should be overloaded if a block method is available.

Reimplemented from NOX::Abstract::Group.

References Teuchos::dyn_cast(), NOX::Abstract::Group::Failed, NOX::Thyra::MultiVector::getThyraMultiVector(), nonnull(), NOX::Abstract::Group::Ok, Teuchos::RCP< T >::ptr(), and TEUCHOS_TEST_FOR_EXCEPTION.

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::applyRightPreconditioning	(	bool	useTranspose,
		Teuchos::ParameterList &	params,
		const NOX::Abstract::Vector &	input,
		NOX::Abstract::Vector &	result
	)		const

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 "Tolerance" parameter specifies that the solution should be such that

$\frac{\| M v - u \|_2}{\max \{ 1, \|u\|_2\} } < \mbox{Tolerance}$

Returns

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::NotConverged - If the linear solve fails to satisfy the "Tolerance" specified in params
NOX::Abstract::Group::Failed - If the computation fails
NOX::Abstract::Group::Ok - Otherwise

The parameters are from the "Linear %Solver" sublist of the "Direction" sublist that is passed to solver during construction.

Reimplemented from NOX::Abstract::Group.

References NOX::Thyra::Vector::getThyraRCPVector(), is_null(), nonnull(), NOX::Abstract::Group::Ok, and Teuchos::RCP< T >::ptr().

Teuchos::RCP< NOX::Abstract::Group > NOX::Thyra::Group::clone ( NOX::CopyType type = NOX::DeepCopy ) const

virtual

Create a new Group of the same derived type as this one by cloning this one, and return a ref count pointer to the new group.

If type is NOX::DeepCopy, then we need to create an exact replica of "this". Otherwise, if type is NOX::ShapeCopy, we need only replicate the shape of "this" (only the memory is allocated, the values are not copied into the vectors and Jacobian). Returns NULL if clone is not supported.

Note: Any shared data should have its ownership transfered to this group from the source for a NOX::DeepCopy.

Implements NOX::Abstract::Group.

Reimplemented in LOCA::Thyra::Group, and LOCA::Thyra::GroupWrapper.

References Teuchos::rcp().

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::computeF ( )

virtual

Compute and store F(x).

Note: It's generally useful to also compute and store the 2-norm of F(x) at this point for later access by the getNormF() function.

Returns

NOX::Abstract::Group::Failed - If the computation fails in any way
NOX::Abstract::Group::Ok - Otherwise

Implements NOX::Abstract::Group.

References NOX::Abstract::Group::Failed, and NOX::Abstract::Group::Ok.

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::computeGradient ( )

virtual

Compute and store gradient.

We can pose the nonlinear equation problem $F(x) = 0$ as an optimization problem as follows:

$\min f(x) \equiv \frac{1}{2} \|F(x)\|_2^2.$

In that case, the gradient (of $f$ ) is defined as

$g \equiv J^T F.$

Returns

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::BadDependency - If either or has not been computed
NOX::Abstract::Group::Failed - If the computation fails in any other way
NOX::Abstract::Group::Ok - Otherwise

Reimplemented from NOX::Abstract::Group.

References NOX::Abstract::Group::Failed, nonnull(), and TEUCHOS_TEST_FOR_EXCEPTION.

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::computeJacobian ( )

virtual

Compute and store Jacobian.

Recall that

$F(x) = \left[ \begin{array}{c} F_1(x) \\ F_2(x) \\ \vdots \\ F_n(x) \\ \end{array} \right].$

The Jacobian is denoted by $J$ and defined by

$J_{ij} = \frac{\partial F_i}{\partial x_j} (x).$

Note: If this is a shared object, this group should take ownership of the Jacobian before it computes it.

Returns

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::Failed - If the computation fails in any other way
NOX::Abstract::Group::Ok - Otherwise

Reimplemented from NOX::Abstract::Group.

References NOX::Abstract::Group::Failed, nonnull(), and NOX::Abstract::Group::Ok.

NOX::Abstract::Group::ReturnType NOX::Thyra::Group::computeNewton ( Teuchos::ParameterList & params )

virtual

Compute the Newton direction, using parameters for the linear solve.

The Newton direction is the solution, s, of

$J s = -F.$

The parameters are from the "Linear %Solver" sublist of the "Direction" sublist that is passed to solver during construction.

The "Tolerance" parameter may be added/modified in the sublist of "Linear Solver" parameters that is passed into this function. The solution should be such that

$\frac{\| J s - (-F) \|_2}{\max \{ 1, \|F\|_2\} } < \mbox{Tolerance}$

Returns

NOX::Abstract::Group::NotDefined - Returned by default implementation in NOX::Abstract::Group
NOX::Abstract::Group::BadDependency - If either or has not been computed
NOX::Abstract::Group::NotConverged - If the linear solve fails to satisfy the "Tolerance" specified in params
NOX::Abstract::Group::Failed - If the computation fails in any other way
NOX::Abstract::Group::Ok - Otherwise

Reimplemented from NOX::Abstract::Group.

void NOX::Thyra::Group::computeX	(	const NOX::Abstract::Group &	grp,
		const NOX::Abstract::Vector &	d,
		double	step
	)

virtual

Compute x = grp.x + step * d.

Let $x$ denote this group's solution vector. Let $\hat x$ denote the result of grp.getX(). Then set

$x = \hat x + \mbox{step} \; d.$

Note: This should invalidate the function value, Jacobian, gradient, and Newton direction.; Throw an error if the copy fails.

Returns: Reference to this object

Implements NOX::Abstract::Group.

Thyra::ModelEvaluatorBase::InArgs< double > & NOX::Thyra::Group::getNonconstInArgs ( )

FOR POWER USERS ONLY! Grab the inargs used by nox and allow the user to change it. Used by pseudo-transient solver to add an x_dot and alpha/beta to the model evaluator call.

double NOX::Thyra::Group::getNormF ( ) const

virtual

Return 2-norm of F(x).

In other words,

$\sqrt{\sum_{i=1}^n F_i^2}$

Implements NOX::Abstract::Group.

const NOX::Abstract::Vector & NOX::Thyra::Group::getScaledX ( ) const

virtual

If right scaling vector exist, return a right scaled vector.

Note: Default to getX

Reimplemented from NOX::Abstract::Group.

References nonnull().

bool NOX::Thyra::Group::isGradient ( ) const

virtual

Return true if the gradient is valid.

Note: Default implementation in NOX::Abstract::Group returns false.

Reimplemented from NOX::Abstract::Group.

bool NOX::Thyra::Group::isJacobian ( ) const

virtual

Return true if the Jacobian is valid.

Note: Default implementation in NOX::Abstract::Group returns false.

Reimplemented from NOX::Abstract::Group.

References nonnull().

Referenced by Group().

bool NOX::Thyra::Group::isNewton ( ) const

virtual

Return true if the Newton direction is valid.

Note: Default implementation in NOX::Abstract::Group returns false.

Reimplemented from NOX::Abstract::Group.

NOX::Abstract::Group & NOX::Thyra::Group::operator= ( const NOX::Abstract::Group & source )

virtual

Copies the source group into this group.

Note: Any shared data owned by the source should have its ownership transfered to this group. This may result in a secret modification to the source object.

Implements NOX::Abstract::Group.

Referenced by LOCA::Thyra::Group::operator=().

void NOX::Thyra::Group::setX ( const NOX::Abstract::Vector & y )

virtual

Set the solution vector x to y.