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LOCA::Hopf::MinimallyAugmented::AbstractGroup Class Referenceabstract

Interface to underlying groups for Hopf calculations using the minimally augmented formulation. More...

#include <LOCA_Hopf_MinimallyAugmented_AbstractGroup.H>

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Public Member Functions

 AbstractGroup ()
 Default constructor.
 
virtual ~AbstractGroup ()
 Destructor.
 
Pure virtual methods

These methods must be defined by any concrete implementation

virtual
NOX::Abstract::Group::ReturnType 		applyComplexTranspose (const NOX::Abstract::Vector &input_real, const NOX::Abstract::Vector &input_imag, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag) const =0
 
virtual
NOX::Abstract::Group::ReturnType 		applyComplexTransposeMultiVector (const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
 
virtual
NOX::Abstract::Group::ReturnType 		applyComplexTransposeInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
 Solve $(J+i\omega M)^H (x + iy) = a+ib$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDwtCeDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &w1, const NOX::Abstract::Vector &w2, const NOX::Abstract::Vector &y, const NOX::Abstract::Vector &z, double omega, NOX::Abstract::MultiVector::DenseMatrix &result_real, NOX::Abstract::MultiVector::DenseMatrix &result_imag, bool isValid)=0
 Computes the derivative $\partial w^H C e/\partial p$, $ w = w_1 + i w_2$, $ e = y + i z$, $ C = J + i \omega M$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDwtCeDx (const NOX::Abstract::Vector &w1, const NOX::Abstract::Vector &w2, const NOX::Abstract::Vector &y, const NOX::Abstract::Vector &z, double omega, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag)=0
 Computes the derivative $\frac{\partial w^H C e}{\partial x}$, $ w = w_1 + i w_2$, $ e = y + i z$, $ C = J + i \omega M$.
 
- Public Member Functions inherited from LOCA::Hopf::MooreSpence::AbstractGroup
 AbstractGroup ()
 Default constructor.
 
virtual bool isComplex () const =0
 Is $ J+i\omega B$ valid.
 
virtual
NOX::Abstract::Group::ReturnType 		computeComplex (double frequency)=0
 Compute $ J+i\omega B$. More...
 
virtual
NOX::Abstract::Group::ReturnType 		applyComplex (const NOX::Abstract::Vector &input_real, const NOX::Abstract::Vector &input_imag, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag) const =0
 Compute $(J+i\omega B)(y+iz)$.
 
virtual
NOX::Abstract::Group::ReturnType 		applyComplexMultiVector (const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
 Compute $(J+i\omega B)(y+iz)$.
 
virtual
NOX::Abstract::Group::ReturnType 		applyComplexInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
 Solve $(J+i\omega B)(y+iz) = a+ib$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDCeDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag, bool isValid)=0
 Computes the derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial p}$ where $ p$ is the parameter indexed by paramIDs.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDCeDxa (const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag)=0
 Computes the directional derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial x} a$ for the given direction $ a$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDCeDxa (const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, const NOX::Abstract::MultiVector &aVector, const NOX::Abstract::Vector &Ce_real, const NOX::Abstract::Vector &Ce_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag)=0
 Computes the directional derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial x} a$ for the given direction $ a$. The arguments Ce_real and Ce_imag hold the real and imaginary components of $(J+i\omega B)(y+iz)$.
 
- Public Member Functions inherited from LOCA::TurningPoint::MooreSpence::AbstractGroup
 AbstractGroup ()
 Default constructor.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDJnDpMulti (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &nullVector, NOX::Abstract::MultiVector &result, bool isValid)=0
 Computes the derivative $\partial Jn/\partial p$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDJnDxaMulti (const NOX::Abstract::Vector &nullVector, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result)=0
 Computes the directional derivative $\frac{\partial Jn}{\partial x} a$ for the given direction $ a$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDJnDxaMulti (const NOX::Abstract::Vector &nullVector, const NOX::Abstract::Vector &JnVector, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result)=0
 Computes the directional derivative $\frac{\partial Jn}{\partial x} a$ for the given direction $ a$.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDwtJnDxMulti (const NOX::Abstract::MultiVector &w, const NOX::Abstract::Vector &nullVector, NOX::Abstract::MultiVector &result)=0
 Computes the derivative $\frac{\partial w^TJn}{\partial x}$.
 
- Public Member Functions inherited from LOCA::MultiContinuation::AbstractGroup
 AbstractGroup ()
 Default constructor.
 
virtual void copy (const NOX::Abstract::Group &source)=0
 Copy the group (replaces operator = )
 
virtual void setParamsMulti (const std::vector< int > &paramIDs, const NOX::Abstract::MultiVector::DenseMatrix &vals)=0
 Set parameters indexed by (integer) paramIDs.
 
virtual void setParams (const LOCA::ParameterVector &p)=0
 Set the parameter vector in the group to p (pVector = p).
 
virtual void setParam (int paramID, double val)=0
 Set parameter indexed by (integer) paramID.
 
virtual void setParam (std::string paramID, double val)=0
 Set parameter indexed by (std::string) paramID.
 
virtual const
LOCA::ParameterVector & 		getParams () const =0
 Return a const reference to the ParameterVector owned by the group.
 
virtual double getParam (int paramID) const =0
 Return copy of parameter indexed by (integer) paramID.
 
virtual double getParam (std::string paramID) const =0
 Return copy of parameter indexed by (std::string) paramID.
 
virtual
NOX::Abstract::Group::ReturnType 		computeDfDpMulti (const std::vector< int > &paramIDs, NOX::Abstract::MultiVector &dfdp, bool isValidF)=0
 
virtual void preProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
 Perform any preprocessing before a continuation step starts. More...
 
virtual void postProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
 Perform any postprocessing after a continuation step finishes. More...
 
virtual void projectToDraw (const NOX::Abstract::Vector &x, double *px) const
 Projects solution to a few scalars for multiparameter continuation. More...
 
virtual int projectToDrawDimension () const
 Returns the dimension of the project to draw array. More...
 
virtual double computeScaledDotProduct (const NOX::Abstract::Vector &a, const NOX::Abstract::Vector &b) const
 Compute a scaled dot product. More...
 
virtual void printSolution (const double) const
 Function to print out solution and parameter after successful step. More...
 
virtual void printSolution (const NOX::Abstract::Vector &, const double) const
 Function to print out a vector and parameter after successful step. More...
 
virtual void scaleVector (NOX::Abstract::Vector &x) const
 Scales a vector using scaling vector. More...
 
- Public Member Functions inherited from NOX::Abstract::Group
 Group ()
 Constructor. More...
 
virtual ~Group ()
 Destructor.
 
virtual NOX::Abstract::Group & operator= (const NOX::Abstract::Group &source)=0
 Copies the source group into this group. More...
 
virtual Teuchos::RCP
< NOX::Abstract::Group > 		getNestedGroup ()
 Return an internally stored group from this group. More...
 
virtual Teuchos::RCP< const
NOX::Abstract::Group > 		getNestedGroup () const
 Return an internally stored group from this group. More...
 
virtual void setX (const NOX::Abstract::Vector &y)=0
 Set the solution vector x to y. More...
 
virtual void computeX (const NOX::Abstract::Group &grp, const NOX::Abstract::Vector &d, double step)=0
 Compute x = grp.x + step * d. More...
 
virtual
NOX::Abstract::Group::ReturnType 		computeF ()=0
 Compute and store F(x). More...
 
virtual
NOX::Abstract::Group::ReturnType 		computeJacobian ()
 Compute and store Jacobian. More...
 
virtual
NOX::Abstract::Group::ReturnType 		computeGradient ()
 Compute and store gradient. More...
 
virtual
NOX::Abstract::Group::ReturnType 		computeNewton (Teuchos::ParameterList &params)
 Compute the Newton direction, using parameters for the linear solve. More...
 
virtual
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...
 
virtual
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...
 
virtual
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...
 
virtual
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...
 
virtual
NOX::Abstract::Group::ReturnType 		applyJacobianMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
 applyJacobian for multiple right-hand sides More...
 
virtual
NOX::Abstract::Group::ReturnType 		applyJacobianTransposeMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
 applyJacobianTranspose for multiple right-hand sides More...
 
virtual
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...
 
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 bool isF () const =0
 Return true if F is valid.
 
virtual bool isJacobian () const
 Return true if the Jacobian is valid. More...
 
virtual bool isGradient () const
 Return true if the gradient is valid. More...
 
virtual bool isNewton () const
 Return true if the Newton direction is valid. More...
 
virtual const
NOX::Abstract::Vector & 		getX () const =0
 Return solution vector.
 
virtual const
NOX::Abstract::Vector & 		getScaledX () const
 
virtual const
NOX::Abstract::Vector & 		getF () const =0
 Return F(x)
 
virtual double getNormF () const =0
 Return 2-norm of F(x). More...
 
virtual const
NOX::Abstract::Vector & 		getGradient () const =0
 Return gradient.
 
virtual const
NOX::Abstract::Vector & 		getNewton () const =0
 Return Newton direction.
 
virtual Teuchos::RCP< const
NOX::Abstract::Vector > 		getXPtr () const =0
 Return RCP to solution vector.
 
virtual Teuchos::RCP< const
NOX::Abstract::Vector > 		getFPtr () const =0
 Return RCP to F(x)
 
virtual Teuchos::RCP< const
NOX::Abstract::Vector > 		getGradientPtr () const =0
 Return RCP to gradient.
 
virtual Teuchos::RCP< const
NOX::Abstract::Vector > 		getNewtonPtr () const =0
 Return RCP to Newton direction.
 
virtual void logLastLinearSolveStats (NOX::SolverStats &stats) const
 Adds statistics from last linear solve to the SovlerStats object.
 
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...
 
virtual Teuchos::RCP
< NOX::Abstract::Group > 		clone (NOX::CopyType type=NOX::DeepCopy) const =0
 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...
 
- Public Member Functions inherited from LOCA::TimeDependent::AbstractGroup
 AbstractGroup ()
 Default constructor.
 
virtual
NOX::Abstract::Group::ReturnType 		computeSecondShiftedMatrix (double alpha, double beta)=0
 Compute the second shifted matrix. Can avoid recomputing if two are stored. More...
 
virtual
NOX::Abstract::Group::ReturnType 		applySecondShiftedMatrix (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const =0
 Multiply the shifted matrix by a vector. More...
 
virtual
NOX::Abstract::Group::ReturnType 		applySecondShiftedMatrixMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const =0
 Multiply the shifted matrix by a multi-vector. More...
 
virtual
NOX::Abstract::Group::ReturnType 		computeShiftedMatrix (double alpha, double beta)=0
 Compute the shifted matrix.
 
virtual
NOX::Abstract::Group::ReturnType 		applyShiftedMatrix (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const =0
 Multiply the shifted matrix by a vector.
 
virtual
NOX::Abstract::Group::ReturnType 		applyShiftedMatrixMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const =0
 Multiply the shifted matrix by a multi-vector.
 
virtual
NOX::Abstract::Group::ReturnType 		applyShiftedMatrixInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const =0
 Apply the inverse of the shifted matrix by a multi-vector, as needed by the shift-and-invert and generalized Cayley transformations.
 

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

Interface to underlying groups for Hopf calculations using the minimally augmented formulation.

This abstract class provides the required interface for underlying groups to locate Hopfs using the minimally augmented Hopf (see LOCA::Hopf::MinimallyAugmented::ExtendedGroup for a description of the governing equations).

This class is derived from the LOCA::Hopf::MooreSpence::AbstractGroup and declares several pure virtual methods to compute various derivatives of $ w^H C e$ for a given $ w = w_1 + i w_2$ and $ e = y + i z$ where $ C = J + i \omega M$. Default implementations for the derivatives using finite differencing are implemented in the LOCA::Hopf::MinimallyAugmented::FiniteDifferenceGroup.

Member Function Documentation

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::applyComplexTranspose ( const NOX::Abstract::Vector &  input_real,
const NOX::Abstract::Vector &  input_imag,
NOX::Abstract::Vector &  result_real,
NOX::Abstract::Vector &  result_imag 
) const
pure virtual

Computes conjugate-tranpose matrix vector product $ (J+i\omega M)^H (x + iy) $.

Implemented in LOCA::Epetra::Group, LOCA::LAPACK::Group, and LOCA::Abstract::Group.

Referenced by LOCA::DerivUtils::computeDwtCeDx().

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::applyComplexTransposeMultiVector ( const NOX::Abstract::MultiVector &  input_real,
const NOX::Abstract::MultiVector &  input_imag,
NOX::Abstract::MultiVector &  result_real,
NOX::Abstract::MultiVector &  result_imag 
) const
pure virtual

Computes conjugate-tranpose matrix vector product $ (J+i\omega M)^H (x + iy) $.

Implemented in LOCA::Epetra::Group, LOCA::LAPACK::Group, and LOCA::Abstract::Group.

Referenced by LOCA::BorderedSolver::ComplexOperator::applyTranspose().

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