Very simple implementation of homotopy method: fixed stepsize. More...

#include <homotopy_base.hh>

Detailed Description

Very simple implementation of homotopy method: fixed stepsize.

Definition at line 172 of file homotopy_base.hh.

Inheritance diagram for Kaskade::InteriorPointSimple:

Public Member Functions
	InteriorPointSimple (NewtonsMethod &n_, InteriorPointParameters &p_)

virtual double	muOnSuccess (int step)
	New mu if corrector was successful. More...

virtual double	muOnFailure ()
	New mu if corrector failed. More...

virtual double	muFinal ()
	mu for successful termination More...

virtual void	updateModelOfHomotopy (int step)
	update of path parameters, e.g. eta and omega More...

virtual void	initializeCorrector ()
	what should be done before corrector More...

virtual void	finalizeCorrector ()
	what should be done after corrector More...

virtual void	updateIterate ()
	make trial iterate to current iterate (on successful corrector) More...

virtual void	recoverIterate ()
	make old iterate to current iterate (on failed corrector) More...

virtual double	lengthOfPath ()
	estimate of length of homopoty path More...

void	solve (AbstractParameterFunctional *f, AbstractFunctionSpaceElement &x)

void	performTiming (bool doit)

void	reportOnIteration (int level)

Protected Member Functions
virtual void	initialize ()
	Optional overload by derived class. More...

virtual void	finalize ()
	Optional overload by derived class. More...

virtual void	finalize (int)

virtual void	logQuantities ()

virtual void	computePredictor (int step)
	Default: classical predictor. More...

virtual int	convergenceTest ()
	convergence test. returns true if method converged and solution is found. More...

virtual void	finalizeHomotopy ()
	to be performed, if convergence of path has occured More...

virtual void	terminationMessage (int errorFlag)
	output of a termination message More...

int	algorithmWrapper ()
	Run algorithm, completely with initialization and finalization. More...

int	oneStepWrapper ()
	Run one step of algorithm. More...

Protected Attributes
NewtonsMethod &	corrector

InteriorPointParameters &	p

AbstractParameterFunctional *	functional

std::unique_ptr< AbstractFunctionSpaceElement >	trialIterate

int	step

int	report

Constructor & Destructor Documentation

◆ InteriorPointSimple()

Kaskade::InteriorPointSimple::InteriorPointSimple	(	NewtonsMethod &	n_,
		InteriorPointParameters &	p_
	)

inline

Definition at line 175 of file homotopy_base.hh.

Member Function Documentation

◆ algorithmWrapper()

int Kaskade::Algorithm::algorithmWrapper ( )

protectedinherited

Run algorithm, completely with initialization and finalization.

◆ computePredictor()

virtual void Kaskade::HomotopyBase::computePredictor ( int step )

protectedvirtualinherited

Default: classical predictor.

Reimplemented in Kaskade::InteriorPointSlopeEstimate.

◆ convergenceTest()

virtual int Kaskade::HomotopyBase::convergenceTest ( )

protectedvirtualinherited

convergence test. returns true if method converged and solution is found.

◆ finalize() [1/2]

virtual void Kaskade::HomotopyBase::finalize ( )

inlineprotectedvirtualinherited

Optional overload by derived class.

Reimplemented in Kaskade::InteriorPointSlopeEstimate.

Definition at line 112 of file homotopy_base.hh.

◆ finalize() [2/2]

virtual void Kaskade::Algorithm::finalize ( int )

inlineprotectedvirtualinherited

Reimplemented in Kaskade::SimpleAdaptiveRefinement, Kaskade::TestErrorEstimator, and Kaskade::NewtonsMethod.

Definition at line 186 of file algorithm_base.hh.

◆ finalizeCorrector()

virtual void Kaskade::InteriorPointSimple::finalizeCorrector ( )

inlinevirtual

what should be done after corrector

Implements Kaskade::HomotopyBase.

Definition at line 185 of file homotopy_base.hh.

◆ finalizeHomotopy()

virtual void Kaskade::HomotopyBase::finalizeHomotopy ( )

inlineprotectedvirtualinherited

to be performed, if convergence of path has occured

Reimplemented in Kaskade::InteriorPointSlopeEstimate.

Definition at line 150 of file homotopy_base.hh.

◆ initialize()

virtual void Kaskade::HomotopyBase::initialize ( )

inlineprotectedvirtualinherited

Optional overload by derived class.

Reimplemented from Kaskade::Algorithm.

Reimplemented in Kaskade::InteriorPointSqrtModel, and Kaskade::InteriorPointSlopeEstimate.

Definition at line 109 of file homotopy_base.hh.

◆ initializeCorrector()

virtual void Kaskade::InteriorPointSimple::initializeCorrector ( )

inlinevirtual

what should be done before corrector

Implements Kaskade::HomotopyBase.

Definition at line 184 of file homotopy_base.hh.

◆ lengthOfPath()

virtual double Kaskade::InteriorPointSimple::lengthOfPath ( )

inlinevirtual

estimate of length of homopoty path

Implements Kaskade::HomotopyBase.

Definition at line 190 of file homotopy_base.hh.

◆ logQuantities()

virtual void Kaskade::HomotopyBase::logQuantities ( )

protectedvirtualinherited

Reimplemented in Kaskade::InteriorPointSqrtModel, and Kaskade::InteriorPointSlopeEstimate.

Referenced by Kaskade::InteriorPointSqrtModel::logQuantities(), and Kaskade::InteriorPointSlopeEstimate::logQuantities().

◆ muFinal()

virtual double Kaskade::InteriorPointSimple::muFinal ( )

inlinevirtual

mu for successful termination

Implements Kaskade::HomotopyBase.

Definition at line 180 of file homotopy_base.hh.

◆ muOnFailure()

virtual double Kaskade::InteriorPointSimple::muOnFailure ( )

inlinevirtual

New mu if corrector failed.

Implements Kaskade::HomotopyBase.

Definition at line 179 of file homotopy_base.hh.

◆ muOnSuccess()

virtual double Kaskade::InteriorPointSimple::muOnSuccess ( int step )

inlinevirtual

New mu if corrector was successful.

Implements Kaskade::HomotopyBase.

Definition at line 178 of file homotopy_base.hh.

◆ oneStepWrapper()

int Kaskade::Algorithm::oneStepWrapper ( )

protectedinherited

Run one step of algorithm.

◆ performTiming()

void Kaskade::Algorithm::performTiming ( bool doit )

inlineinherited

Definition at line 181 of file algorithm_base.hh.

◆ recoverIterate()

virtual void Kaskade::InteriorPointSimple::recoverIterate ( )

inlinevirtual

make old iterate to current iterate (on failed corrector)

Implements Kaskade::HomotopyBase.

Definition at line 188 of file homotopy_base.hh.

◆ reportOnIteration()

void Kaskade::Algorithm::reportOnIteration ( int level )

inlineinherited

Definition at line 182 of file algorithm_base.hh.

◆ solve()

void Kaskade::HomotopyBase::solve	(	AbstractParameterFunctional *	f,
		AbstractFunctionSpaceElement &	x
	)

inherited

◆ terminationMessage()

virtual void Kaskade::HomotopyBase::terminationMessage ( int errorFlag )

protectedvirtualinherited

output of a termination message

Reimplemented from Kaskade::Algorithm.

◆ updateIterate()

virtual void Kaskade::InteriorPointSimple::updateIterate ( )

inlinevirtual

make trial iterate to current iterate (on successful corrector)

Implements Kaskade::HomotopyBase.

Definition at line 187 of file homotopy_base.hh.

◆ updateModelOfHomotopy()

virtual void Kaskade::InteriorPointSimple::updateModelOfHomotopy ( int step )

inlinevirtual

update of path parameters, e.g. eta and omega

Implements Kaskade::HomotopyBase.

Definition at line 182 of file homotopy_base.hh.

Member Data Documentation

◆ corrector

NewtonsMethod& Kaskade::HomotopyBase::corrector

protectedinherited

Definition at line 155 of file homotopy_base.hh.

Referenced by Kaskade::InteriorPointSqrtModel::finalizeCorrector(), and Kaskade::InteriorPointSlopeEstimate::finalizeCorrector().

◆ functional

AbstractParameterFunctional* Kaskade::HomotopyBase::functional

protectedinherited

Definition at line 157 of file homotopy_base.hh.

◆ p

InteriorPointParameters& Kaskade::HomotopyBase::p

protectedinherited

Definition at line 156 of file homotopy_base.hh.

Referenced by lengthOfPath(), Kaskade::InteriorPointSqrtModel::lengthOfPath(), Kaskade::InteriorPointSlopeEstimate::lengthOfPath(), Kaskade::InteriorPointSqrtModel::muFinal(), Kaskade::InteriorPointSlopeEstimate::muFinal(), muOnFailure(), Kaskade::InteriorPointSlopeEstimate::muOnFailure(), and muOnSuccess().

◆ report

int Kaskade::Algorithm::report

protectedinherited

Definition at line 193 of file algorithm_base.hh.

Referenced by Kaskade::Algorithm::reportOnIteration().

◆ step

int Kaskade::HomotopyBase::step

protectedinherited

Definition at line 160 of file homotopy_base.hh.

◆ trialIterate

std::unique_ptr<AbstractFunctionSpaceElement> Kaskade::HomotopyBase::trialIterate

protectedinherited

Definition at line 159 of file homotopy_base.hh.

Referenced by Kaskade::InteriorPointSqrtModel::initialize(), Kaskade::InteriorPointSlopeEstimate::initialize(), Kaskade::InteriorPointSqrtModel::recoverIterate(), and Kaskade::InteriorPointSlopeEstimate::recoverIterate().

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

homotopy_base.hh

Detailed Description

Public Member Functions

Protected Member Functions

Protected Attributes

Constructor & Destructor Documentation

◆ InteriorPointSimple()

Member Function Documentation

◆ algorithmWrapper()

◆ computePredictor()

◆ convergenceTest()

◆ finalize() [1/2]

◆ finalize() [2/2]

◆ finalizeCorrector()

◆ finalizeHomotopy()

◆ initialize()

◆ initializeCorrector()

◆ lengthOfPath()

◆ logQuantities()

◆ muFinal()

◆ muOnFailure()

◆ muOnSuccess()

◆ oneStepWrapper()

◆ performTiming()

◆ recoverIterate()

◆ reportOnIteration()

◆ solve()

◆ terminationMessage()

◆ updateIterate()

◆ updateModelOfHomotopy()

Member Data Documentation

◆ corrector

◆ functional

◆ p

◆ report

◆ step

◆ trialIterate