NOX's pure abstract vector interface for vectors that are used by the nonlinear solver. More...

#include <NOX_Abstract_Vector.H>

Inheritance diagram for NOX::Abstract::Vector:

Public Types
enum	NormType { TwoNorm, OneNorm, MaxNorm }
	Norm types used in norm() calculations. More...

Public Member Functions
	Vector ()
	Abstract Vector constructor (does nothing)

virtual	~Vector ()
	Abstract Vector destructor (does nothing)

virtual NOX::size_type	length () const =0
	Return the length of vector. More...

virtual void	print (std::ostream &stream) const
	Print the vector. To be used for debugging only.


virtual NOX::Abstract::Vector &	init (double gamma)=0
	Initialize every element of this vector with `gamma`. More...

virtual NOX::Abstract::Vector &	random (bool useSeed=false, int seed=1)=0
	Initialize each element of this vector with a random value. More...

virtual NOX::Abstract::Vector &	abs (const NOX::Abstract::Vector &y)=0
	Put element-wise absolute values of source vector `y` into this vector. More...

virtual NOX::Abstract::Vector &	operator= (const NOX::Abstract::Vector &y)=0
	Copy source vector `y` into this vector. More...

virtual NOX::Abstract::Vector &	reciprocal (const NOX::Abstract::Vector &y)=0
	Put element-wise reciprocal of source vector `y` into this vector. More...


virtual NOX::Abstract::Vector &	scale (double gamma)=0
	Scale each element of this vector by `gamma`. More...

virtual NOX::Abstract::Vector &	scale (const NOX::Abstract::Vector &a)=0
	Scale this vector element-by-element by the vector a. More...

virtual NOX::Abstract::Vector &	update (double alpha, const NOX::Abstract::Vector &a, double gamma=0.0)=0
	Compute x = (alpha * a) + (gamma * x) where x is this vector. More...

virtual NOX::Abstract::Vector &	update (double alpha, const NOX::Abstract::Vector &a, double beta, const NOX::Abstract::Vector &b, double gamma=0.0)=0
	Compute x = (alpha * a) + (beta * b) + (gamma * x) where x is this vector. More...


virtual Teuchos::RCP < NOX::Abstract::Vector >	clone (NOX::CopyType type=NOX::DeepCopy) const =0
	Create a new Vector of the same underlying type by cloning "this", and return a pointer to the new vector. More...

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`. More...

virtual Teuchos::RCP < NOX::Abstract::MultiVector >	createMultiVector (int numVecs, NOX::CopyType type=NOX::DeepCopy) const
	Create a MultiVector with `numVecs` columns. More...


virtual double	norm (NOX::Abstract::Vector::NormType type=NOX::Abstract::Vector::TwoNorm) const =0
	Norm. More...

virtual double	norm (const NOX::Abstract::Vector &weights) const =0
	Weighted 2-Norm. More...


virtual double	innerProduct (const NOX::Abstract::Vector &y) const =0
	Inner product with `y`. More...

Detailed Description

NOX's pure abstract vector interface for vectors that are used by the nonlinear solver.

This class is a member of the namespace NOX::Abstract.

The user should implement their own concrete implementation of this class or use one of the implementations provided by us.

Author: Tammy Kolda (SNL 8950), Roger Pawlowski (SNL 9233)

Member Enumeration Documentation

enum NOX::Abstract::Vector::NormType

Norm types used in norm() calculations.

Enumerator
TwoNorm	Use the 2-norm.
OneNorm	Use the 1-norm.
MaxNorm	Use the max-norm, a.k.a. the $\infty$ -norm.

Member Function Documentation

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::abs ( const NOX::Abstract::Vector & y )

pure virtual

Put element-wise absolute values of source vector y into this vector.

Here x represents this vector, and we update it as

$x_i = | y_i | \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormWRMS::checkStatus(), and LOCA::Homotopy::Group::Group().

virtual Teuchos::RCP<NOX::Abstract::Vector> NOX::Abstract::Vector::clone ( NOX::CopyType type = NOX::DeepCopy ) const

pure virtual

Create a new Vector of the same underlying type by cloning "this", and return a pointer to the new vector.

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" (the memory is allocated for the objects, but the current values are not copied into the vector). Note that there is no assumption that a vector created by ShapeCopy is initialized to zeros.

Returns: Pointer to newly created vector or NULL if clone is not supported.

Implemented in NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, NOX::LAPACK::Vector, LOCA::Extended::Vector, LOCA::Hopf::MooreSpence::ExtendedVector, LOCA::Pitchfork::MooreSpence::ExtendedVector, LOCA::TurningPoint::MooreSpence::ExtendedVector, LOCA::PhaseTransition::ExtendedVector, LOCA::Hopf::ComplexVector, and LOCA::MultiContinuation::ExtendedVector.

Referenced by LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormUpdate::checkStatus(), NOX::StatusTest::NormWRMS::checkStatus(), LOCA::SingularJacobianSolve::ItRef::compute(), LOCA::SingularJacobianSolve::Nic::compute(), LOCA::SingularJacobianSolve::NicDay::compute(), NOX::Direction::NonlinearCG::compute(), LOCA::DerivUtils::computeDCeDxa(), LOCA::DerivUtils::computeDJnDxa(), LOCA::DerivUtils::computeDwtCeDp(), LOCA::DerivUtils::computeDwtCeDx(), LOCA::DerivUtils::computeDwtJnDp(), LOCA::DerivUtils::computeDwtJnDx(), NOX::Direction::Utils::InexactNewton::computeForcingTerm(), LOCA::SingularJacobianSolve::ItRef::computeMulti(), LOCA::SingularJacobianSolve::Nic::computeMulti(), LOCA::SingularJacobianSolve::NicDay::computeMulti(), NOX::MeritFunction::SumOfSquares::computeQuadraticMinimizer(), NOX::MeritFunction::SumOfSquares::computeQuadraticModel(), LOCA::Epetra::Group::computeScaledDotProduct(), NOX::LineSearch::Utils::Slope::computeSlope(), NOX::MeritFunction::SumOfSquares::computeSlope(), NOX::LineSearch::Utils::Slope::computeSlopeWithOutJac(), LOCA::MultiContinuation::ConstraintModelEvaluator::ConstraintModelEvaluator(), NOX::Solver::TensorBased::getDirectionalDerivative(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::getLengthVector(), NOX::Solver::TensorBased::getNormModelResidual(), LOCA::Homotopy::Group::Group(), LOCA::Epetra::Group::Group(), LOCA::Hopf::MooreSpence::ExtendedGroup::init(), LOCA::Pitchfork::MooreSpence::ExtendedGroup::init(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::init(), NOX::MultiVector::MultiVector(), LOCA::Epetra::Group::operator=(), LOCA::DerivUtils::perturbXVec(), LOCA::AnasaziOperator::JacobianInverse::rayleighQuotient(), NOX::Direction::Broyden::BroydenMemoryUnit::reset(), NOX::Direction::Newton::resetForcingTerm(), LOCA::Epetra::Group::setScaleVector(), and LOCA::Extended::Vector::setVector().

Teuchos::RCP< NOX::Abstract::MultiVector > NOX::Abstract::Vector::createMultiVector	(	const NOX::Abstract::Vector const	vecs,
		int	numVecs,
		NOX::CopyType	type = `NOX::DeepCopy`
	)		const

virtual

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.

The default implementation creates a generic NOX::MultiVector with either Shape or Deep copies of the supplied vectors.

Reimplemented in NOX::Epetra::Vector, NOX::Thyra::Vector, and LOCA::Extended::Vector.

References Teuchos::rcp().

Teuchos::RCP< NOX::Abstract::MultiVector > NOX::Abstract::Vector::createMultiVector	(	int	numVecs,
		NOX::CopyType	type = `NOX::DeepCopy`
	)		const

virtual

Create a MultiVector with numVecs columns.

The default implementation creates a generic NOX::MultiVector with either Shape or Deep copies of the supplied vector.

Reimplemented in NOX::Epetra::Vector, NOX::Thyra::Vector, and LOCA::Extended::Vector.

References Teuchos::rcp().

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::init ( double gamma )

pure virtual

Initialize every element of this vector with gamma.

Here x represents this vector, and we update it as

$x_i = \gamma \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormWRMS::checkStatus(), NOX::Solver::TensorBased::computeTensorDirection(), LOCA::TurningPoint::MinimallyAugmented::Constraint::getInitialVectors(), NOX::Solver::InexactTrustRegionBased::iterateInexact(), and LOCA::TurningPoint::MooreSpence::PhippsBordering::solveTranspose().

virtual double NOX::Abstract::Vector::innerProduct ( const NOX::Abstract::Vector & y ) const

pure virtual

Inner product with y.

Here x represents this vector, and we compute its inner product with y as follows:

$\langle x,y \rangle = \sum_{i=1}^n x_i y_i$

Returns: $\langle x,y \rangle$

Implemented in NOX::Epetra::Vector, LOCA::Extended::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::SingularJacobianSolve::Nic::compute(), LOCA::SingularJacobianSolve::NicDay::compute(), NOX::LineSearch::NonlinearCG::compute(), NOX::Direction::NonlinearCG::compute(), NOX::Direction::Broyden::compute(), NOX::Solver::TensorBased::computeCurvilinearStep(), LOCA::DerivUtils::computeDwtCeDp(), LOCA::DerivUtils::computeDwtJnDp(), LOCA::SingularJacobianSolve::Nic::computeMulti(), LOCA::SingularJacobianSolve::NicDay::computeMulti(), NOX::MeritFunction::SumOfSquares::computeQuadraticMinimizer(), LOCA::MultiContinuation::AbstractGroup::computeScaledDotProduct(), LOCA::Thyra::Group::computeScaledDotProduct(), LOCA::LAPACK::Group::computeScaledDotProduct(), LOCA::Epetra::Group::computeScaledDotProduct(), NOX::LineSearch::Utils::Slope::computeSlope(), NOX::MeritFunction::SumOfSquares::computeSlope(), NOX::Solver::TensorBased::getDirectionalDerivative(), NOX::Solver::TensorBased::getNormModelResidual(), LOCA::Pitchfork::MooreSpence::AbstractGroup::innerProduct(), NOX::Solver::InexactTrustRegionBased::iterateInexact(), NOX::Solver::InexactTrustRegionBased::iterateStandard(), NOX::Solver::AndersonAcceleration::qrAdd(), LOCA::AnasaziOperator::JacobianInverse::rayleighQuotient(), LOCA::AnasaziOperator::ShiftInvert::rayleighQuotient(), LOCA::Epetra::AnasaziOperator::Floquet::rayleighQuotient(), LOCA::AnasaziOperator::ShiftInvert2Matrix::rayleighQuotient(), LOCA::AnasaziOperator::Cayley::rayleighQuotient(), LOCA::AnasaziOperator::Cayley2Matrix::rayleighQuotient(), and NOX::Solver::TrustRegionBased::step().

virtual NOX::size_type NOX::Abstract::Vector::length ( ) const

pure virtual

Return the length of vector.

Returns: The length of this vector

Note: Even if the vector is distributed across processors, this should return the global length of the vector.

Implemented in NOX::Epetra::Vector, LOCA::Extended::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by NOX::StatusTest::RelativeNormF::checkStatus(), LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormUpdate::checkStatus(), NOX::StatusTest::NormWRMS::checkStatus(), LOCA::Thyra::Group::computeScaledDotProduct(), LOCA::LAPACK::Group::computeScaledDotProduct(), LOCA::Epetra::Group::computeScaledDotProduct(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::scaleNullVector(), LOCA::Thyra::Group::scaleVector(), LOCA::LAPACK::Group::scaleVector(), and LOCA::Epetra::Group::scaleVector().

virtual double NOX::Abstract::Vector::norm ( NOX::Abstract::Vector::NormType type = NOX::Abstract::Vector::TwoNorm ) const

pure virtual

Norm.

Here x represents this vector, and we compute its norm as follows: for each NOX::Abstract::Vector::NormType:

NOX::Abstract::Vector::TwoNorm
$\|x\| = \sqrt{\sum_{i=1}^{n} x_i^2}$
NOX::Abstract::Vector::OneNorm
$\|x\| = \sum_{i=1}^{n} |x_i|$
NOX::Abstract::Vector::MaxNorm
$\|x\| = \max_{i} |x_i|$

Returns: $\|x\|$

Implemented in NOX::Epetra::Vector, LOCA::Extended::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by NOX::StatusTest::RelativeNormF::checkStatus(), NOX::StatusTest::FiniteValue::checkStatus(), LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormUpdate::checkStatus(), NOX::LineSearch::SafeguardedStep::compute(), NOX::LineSearch::SafeguardedDirection::compute(), NOX::Direction::SteepestDescent::compute(), NOX::Solver::InexactTrustRegionBased::computeNorm(), NOX::Thyra::WeightedMeritFunction::computeSlope(), NOX::LineSearch::Utils::Slope::computeSlopeWithOutJac(), NOX::Solver::TensorBased::computeTensorDirection(), LOCA::DerivUtils::epsVector(), NOX::Solver::TensorBased::getNormModelResidual(), NOX::Solver::TensorBased::printDirectionInfo(), NOX::Solver::TrustRegionBased::printUpdate(), LOCA::MultiContinuation::AbstractGroup::projectToDraw(), NOX::Solver::AndersonAcceleration::qrAdd(), NOX::Direction::Broyden::BroydenMemoryUnit::reset(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::scaleNullVector(), LOCA::TurningPoint::MinimallyAugmented::Constraint::scaleNullVectors(), and NOX::Solver::TrustRegionBased::step().

virtual double NOX::Abstract::Vector::norm ( const NOX::Abstract::Vector & weights ) const

pure virtual

Weighted 2-Norm.

Here x represents this vector, and we compute its weighted norm as follows:

$\|x\|_w = \sqrt{\sum_{i=1}^{n} w_i \; x_i^2}$

Returns: $\|x\|_w$

Implemented in NOX::Epetra::Vector, LOCA::Extended::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::operator= ( const NOX::Abstract::Vector & y )

pure virtual

Copy source vector y into this vector.

Here x represents this vector, and we update it as

$x_i = y_i \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in NOX::Epetra::Vector, NOX::Thyra::Vector, LOCA::Extended::Vector, NOX::Petsc::Vector, NOX::LAPACK::Vector, LOCA::Hopf::MooreSpence::ExtendedVector, LOCA::MultiContinuation::ExtendedVector, LOCA::Pitchfork::MooreSpence::ExtendedVector, LOCA::TurningPoint::MooreSpence::ExtendedVector, LOCA::PhaseTransition::ExtendedVector, and LOCA::Hopf::ComplexVector.

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::random	(	bool	useSeed = `false`,
		int	seed = `1`
	)

pure virtual

Initialize each element of this vector with a random value.

If useSeed is true, uses the value of seed to seed the random number generator before filling the entries of this vector. So, if two calls are made where useSeed is true and seed is the same, then the vectors returned should be the same.

Default implementation throw an error. Only referenced by LOCA methods.

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::Homotopy::Group::Group(), LOCA::Hopf::MooreSpence::ExtendedGroup::init(), LOCA::Pitchfork::MooreSpence::ExtendedGroup::init(), and LOCA::TurningPoint::MooreSpence::ExtendedGroup::init().

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::reciprocal ( const NOX::Abstract::Vector & y )

pure virtual

Put element-wise reciprocal of source vector y into this vector.

Here x represents this vector, and we update it as

$x_i = \frac{1}{y_i} \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), and NOX::StatusTest::NormWRMS::checkStatus().

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::scale ( double gamma )

pure virtual

Scale each element of this vector by gamma.

Here x represents this vector, and we update it as

$x_i = \gamma x_i \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormWRMS::checkStatus(), NOX::LineSearch::SafeguardedStep::compute(), LOCA::MultiPredictor::Secant::compute(), NOX::Direction::SteepestDescent::compute(), NOX::Direction::NonlinearCG::compute(), NOX::Direction::Broyden::compute(), LOCA::DerivUtils::computeDCeDp(), LOCA::DerivUtils::computeDfDp(), LOCA::DerivUtils::computeDJnDp(), LOCA::DerivUtils::computeDwtCeDx(), LOCA::DerivUtils::computeDwtJDp(), LOCA::DerivUtils::computeDwtJnDx(), NOX::MeritFunction::SumOfSquares::computeQuadraticMinimizer(), LOCA::Epetra::Group::computeScaledDotProduct(), NOX::Thyra::WeightedMeritFunction::computeSlope(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::getLengthVector(), LOCA::Hopf::MooreSpence::ExtendedGroup::init(), LOCA::Pitchfork::MooreSpence::ExtendedGroup::init(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::init(), NOX::Solver::InexactTrustRegionBased::iterateInexact(), NOX::Solver::AndersonAcceleration::qrAdd(), LOCA::AnasaziOperator::ShiftInvert::rayleighQuotient(), LOCA::AnasaziOperator::ShiftInvert2Matrix::rayleighQuotient(), LOCA::AnasaziOperator::Cayley::rayleighQuotient(), LOCA::AnasaziOperator::Cayley2Matrix::rayleighQuotient(), LOCA::Extended::Vector::scale(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::scaleNullVector(), LOCA::TurningPoint::MinimallyAugmented::Constraint::scaleNullVectors(), LOCA::Thyra::Group::scaleVector(), LOCA::LAPACK::Group::scaleVector(), and LOCA::Epetra::Group::scaleVector().

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::scale ( const NOX::Abstract::Vector & a )

pure virtual

Scale this vector element-by-element by the vector a.

Here x represents this vector, and we update it as

$x_i = x_i \cdot a_i \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::update	(	double	alpha,
		const NOX::Abstract::Vector &	a,
		double	gamma = `0.0`
	)

pure virtual

Compute x = (alpha * a) + (gamma * x) where x is this vector.

Here x represents this vector, and we update it as

$x_i = \alpha \; a_i + \gamma \; x_i \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

Referenced by LOCA::Homotopy::Group::applyJacobian(), LOCA::Homotopy::Group::applyJacobianTranspose(), LOCA::Bifurcation::TPBord::StatusTest::NullVectorNormWRMS::checkStatus(), LOCA::Bifurcation::PitchforkBord::StatusTest::NullVectorNormWRMS::checkStatus(), NOX::StatusTest::NormUpdate::checkStatus(), NOX::StatusTest::NormWRMS::checkStatus(), LOCA::SingularJacobianSolve::ItRef::compute(), LOCA::SingularJacobianSolve::Nic::compute(), LOCA::SingularJacobianSolve::NicDay::compute(), NOX::Direction::NonlinearCG::compute(), NOX::Direction::Broyden::compute(), NOX::Solver::TensorBased::computeCurvilinearStep(), LOCA::DerivUtils::computeDCeDp(), LOCA::DerivUtils::computeDfDp(), LOCA::DerivUtils::computeDJnDp(), LOCA::DerivUtils::computeDwtCeDx(), LOCA::DerivUtils::computeDwtJDp(), LOCA::DerivUtils::computeDwtJnDx(), NOX::Direction::Utils::InexactNewton::computeForcingTerm(), LOCA::SingularJacobianSolve::ItRef::computeMulti(), LOCA::SingularJacobianSolve::Nic::computeMulti(), LOCA::SingularJacobianSolve::NicDay::computeMulti(), NOX::Thyra::WeightedMeritFunction::computeSlope(), NOX::Solver::TensorBased::computeTensorDirection(), NOX::Solver::TensorBased::getNormModelResidual(), LOCA::Homotopy::Group::Group(), LOCA::Hopf::MooreSpence::ExtendedGroup::init(), LOCA::Pitchfork::MooreSpence::ExtendedGroup::init(), LOCA::TurningPoint::MooreSpence::ExtendedGroup::init(), NOX::Solver::InexactTrustRegionBased::iterateInexact(), NOX::Solver::InexactTrustRegionBased::iterateStandard(), LOCA::DerivUtils::perturbXVec(), NOX::Solver::AndersonAcceleration::qrAdd(), NOX::Direction::Newton::resetForcingTerm(), LOCA::TurningPoint::MooreSpence::SalingerBordering::solveTranspose(), LOCA::TurningPoint::MooreSpence::PhippsBordering::solveTranspose(), and NOX::Solver::TrustRegionBased::step().

virtual NOX::Abstract::Vector& NOX::Abstract::Vector::update	(	double	alpha,
		const NOX::Abstract::Vector &	a,
		double	beta,
		const NOX::Abstract::Vector &	b,
		double	gamma = `0.0`
	)

pure virtual

Compute x = (alpha * a) + (beta * b) + (gamma * x) where x is this vector.

Here x represents this vector, and we update it as

$x_i = \alpha \; a_i + \beta \; b_i + \gamma \; x_i \quad \mbox{for } i=1,\dots,n$

Returns: Reference to this object

Implemented in LOCA::Extended::Vector, NOX::Epetra::Vector, NOX::Thyra::Vector, NOX::Petsc::Vector, and NOX::LAPACK::Vector.

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

NOX_Abstract_Vector.H
NOX_Abstract_Vector.C

Public Types

Public Member Functions

Detailed Description

Member Enumeration Documentation

Member Function Documentation