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>

Inheritance diagram for LOCA::Extended::Vector:

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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::Vector &	operator= (const NOX::Abstract::Vector &y)
	Assignment operator.

virtual Vector &	operator= (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::Vector &	init (double gamma)
	NOX::Abstract::Vector init function. Initializes each stored vector and scalar.

virtual NOX::Abstract::Vector &	random (bool useSeed=false, int seed=1)
	Initialize every element of this vector with random values.

virtual NOX::Abstract::Vector &	abs (const NOX::Abstract::Vector &y)
	NOX::Abstract::Vector abs function. Compues absolute value of each stored vector and scalar.

virtual NOX::Abstract::Vector &	reciprocal (const NOX::Abstract::Vector &y)
	NOX::Abstract::Vector reciprocal function. Computes reciprocal of each stored vector and scalar.

virtual NOX::Abstract::Vector &	scale (double gamma)
	NOX::Abstract::Vector scale function. Scales each stored vector and scalar.

virtual NOX::Abstract::Vector &	scale (const NOX::Abstract::Vector &a)
	NOX::Abstract::Vector scale function. Scales each stored vector and scalar.

virtual NOX::Abstract::Vector &	update (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::Vector &	update (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::GlobalData >	globalData
	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:

LOCA_Extended_Vector.H
LOCA_Extended_Vector.C

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Member Function Documentation