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LOCA::Extended::Vector Class Reference

Implemenatation of the NOX::Abstract::Vector class for extended vectors comprised of an arbitrary number of vectors and scalars. More...

#include <LOCA_Extended_Vector.H>

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Public Member Functions

 Vector (const Vector &source, NOX::CopyType type=NOX::DeepCopy)
 Copy constructor.
 
virtual ~Vector ()
 Vector destructor.
 
virtual NOX::Abstract::Vectoroperator= (const NOX::Abstract::Vector &y)
 Assignment operator.
 
virtual Vectoroperator= (const Vector &y)
 Assignment operator.
 
virtual Teuchos::RCP
< NOX::Abstract::Vector
clone (NOX::CopyType type=NOX::DeepCopy) const
 Clone function. Applies clone to each stored vector.
 
virtual Teuchos::RCP
< NOX::Abstract::MultiVector
createMultiVector (const NOX::Abstract::Vector *const *vecs, int numVecs, NOX::CopyType type=NOX::DeepCopy) const
 Create a MultiVector with numVecs+1 columns out of an array of Vectors. The vector stored under this will be the first column with the remaining numVecs columns given by vecs.
 
virtual Teuchos::RCP
< NOX::Abstract::MultiVector
createMultiVector (int numVecs, NOX::CopyType type=NOX::DeepCopy) const
 Create a MultiVector with numVecs columns.
 
virtual NOX::Abstract::Vectorinit (double gamma)
 NOX::Abstract::Vector init function. Initializes each stored vector and scalar.
 
virtual NOX::Abstract::Vectorrandom (bool useSeed=false, int seed=1)
 Initialize every element of this vector with random values.
 
virtual NOX::Abstract::Vectorabs (const NOX::Abstract::Vector &y)
 NOX::Abstract::Vector abs function. Compues absolute value of each stored vector and scalar.
 
virtual NOX::Abstract::Vectorreciprocal (const NOX::Abstract::Vector &y)
 NOX::Abstract::Vector reciprocal function. Computes reciprocal of each stored vector and scalar.
 
virtual NOX::Abstract::Vectorscale (double gamma)
 NOX::Abstract::Vector scale function. Scales each stored vector and scalar.
 
virtual NOX::Abstract::Vectorscale (const NOX::Abstract::Vector &a)
 NOX::Abstract::Vector scale function. Scales each stored vector and scalar.
 
virtual NOX::Abstract::Vectorupdate (double alpha, const NOX::Abstract::Vector &a, double gamma=0.0)
 NOX::Abstract::Vector update function. Applies vector update to each stored vector and scalar.
 
virtual NOX::Abstract::Vectorupdate (double alpha, const NOX::Abstract::Vector &a, double beta, const NOX::Abstract::Vector &b, double gamma=0.0)
 NOX::Abstract::Vector update function. Applies vector update to each stored vector and scalar.
 
virtual double norm (NormType type=TwoNorm) const
 NOX::Abstract::Vector norm function. Computes norm of each stored vector and combines to compute appropriate norm.
 
virtual double norm (const NOX::Abstract::Vector &weights) const
 NOX::Abstract::Vector weighted norm function. Computes weighted norm of each stored vector and combines to compute appropriate norm.
 
virtual double innerProduct (const NOX::Abstract::Vector &y) const
 NOX::Abstract::Vector innerProduct function. Computes inner product * of each stored vector and combines to compute inner product.
 
virtual NOX::size_type length () const
 NOX::Abstract::Vector length function. Computes sum of lengths of stored vectors plus number of scalars.
 
virtual void print (std::ostream &stream) const
 NOX::Abstract::Vector print function. For debugging purposes.
 
virtual void setVector (int i, const NOX::Abstract::Vector &v)
 Sets the ith vector.
 
virtual void setVectorView (int i, const Teuchos::RCP< NOX::Abstract::Vector > &v)
 Sets the ith vector as a view.
 
virtual void setScalar (int i, double s)
 Sets the ith scalar.
 
virtual void setScalarArray (double *sv)
 Sets the scalar array.
 
virtual Teuchos::RCP< const
NOX::Abstract::Vector
getVector (int i) const
 Returns const ref-count pointer to the ith vector.
 
virtual Teuchos::RCP
< NOX::Abstract::Vector
getVector (int i)
 Returns ref-count pointer to the ith vector.
 
virtual double getScalar (int i) const
 Returns copy of the ith scalar.
 
virtual double & getScalar (int i)
 Returns reference to the ith scalar.
 
virtual Teuchos::RCP< const
NOX::Abstract::MultiVector::DenseMatrix
getScalars () const
 Returns array of scalars.
 
virtual Teuchos::RCP
< NOX::Abstract::MultiVector::DenseMatrix
getScalars ()
 Returns array of scalars.
 
virtual int getNumScalars () const
 Returns number of scalars.
 
virtual int getNumVectors () const
 Returns number of vectors.
 
- Public Member Functions inherited from NOX::Abstract::Vector
 Vector ()
 Abstract Vector constructor (does nothing)
 

Protected Member Functions

 Vector (const Teuchos::RCP< LOCA::GlobalData > &global_data, int nvecs, int nscalars)
 Vector constructor.
 
virtual Teuchos::RCP
< LOCA::Extended::MultiVector
generateMultiVector (int nColumns, int nVectorRows, int nScalarRows) const
 generate an extended multi-vector More...
 

Protected Attributes

Teuchos::RCP< LOCA::GlobalDataglobalData
 Global data.
 
std::vector< Teuchos::RCP
< NOX::Abstract::Vector > > 
vectorPtrs
 Array of vector pointers.
 
std::vector< bool > isView
 Array indicating if each vector is a view.
 
int numScalars
 Number of scalars.
 
Teuchos::RCP
< NOX::Abstract::MultiVector::DenseMatrix
scalarsPtr
 Scalars.
 

Friends

class LOCA::Extended::MultiVector
 Declare LOCA::Extended::MultiVector as a friend class.
 

Additional Inherited Members

- Public Types inherited from NOX::Abstract::Vector
enum  NormType { TwoNorm, OneNorm, MaxNorm }
 Norm types used in norm() calculations. More...
 

Detailed Description

Implemenatation of the NOX::Abstract::Vector class for extended vectors comprised of an arbitrary number of vectors and scalars.

Many continuation and bifurcation calculations can be viewed as the solution to an extended set of equations. For example, calculating a turning point can be viewed as computing a solution to $G(z) = 0$ where $z = [x, n, p]\in\Re^{2n+1}$ and

\[ G(z) = \left[ \begin{array}{c} F(x,p) \\ Jn \\ n^Tn-1 \end{array} \right] \]

The extended vector $z$ is comprised of the two vectors $x$ and $n$ as well as the scalar $p$. This class provides an implementation of the NOX::Abstract::Vector interface for such extended vectors. It stores an array of pointers to NOX::Abstract::Vector's as well as an array of scalars using the STL vector class.

The implementations of the NOX::Abstract::Vector methods are defined in terms of the implementations of each stored abstract vector.

Member Function Documentation

Teuchos::RCP< LOCA::Extended::MultiVector > LOCA::Extended::Vector::generateMultiVector ( int  nColumns,
int  nVectorRows,
int  nScalarRows 
) const
protectedvirtual

generate an extended multi-vector

Extended vectors derived from this class should implement this method and return a multivector of the appropriate type so that the createMultiVectors method returns a multivector of the appropriate type.

Reimplemented in LOCA::Hopf::MooreSpence::ExtendedVector, LOCA::Pitchfork::MooreSpence::ExtendedVector, LOCA::TurningPoint::MooreSpence::ExtendedVector, LOCA::PhaseTransition::ExtendedVector, LOCA::Hopf::ComplexVector, and LOCA::MultiContinuation::ExtendedVector.

References Teuchos::rcp().


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