#include <ROL_RieszVector.hpp>

Inheritance diagram for ROL::RieszDualVector< Real >:

Public Member Functions
	RieszDualVector (const ROL::Ptr< V > &v, const ROL::Ptr< OP > &op, Real tol=std::sqrt(ROL_EPSILON< Real >()))

virtual	~RieszDualVector ()

virtual Real	dot (const V &x) const
	Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\). More...

virtual ROL::Ptr< V >	clone () const
	Clone to make a new (uninitialized) vector. More...

virtual const V &	dual () const
	Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout. More...

void	applyUnary (const Elementwise::UnaryFunction< Real > &f)

void	applyBinary (const Elementwise::BinaryFunction< Real > &f, const V &x)

Real	reduce (const Elementwise::ReductionOp< Real > &r) const

void	setScalar (const Real C)
	Set \(y \leftarrow C\) where \(C\in\mathbb{R}\). More...

void	randomize (const Real l=0.0, const Real u=1.0)
	Set vector to be uniform random between [l,u]. More...

ROL::Ptr< V >	getVector (void)

ROL::Ptr< const V >	getVector (void) const

Public Member Functions inherited from ROL::ElementwiseVector< Real >
virtual	~ElementwiseVector ()

void	plus (const Vector< Real > &x)
	Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\). More...

void	scale (const Real alpha)
	Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\). More...

virtual Real	norm () const
	Returns \( \\| y \\| \) where \(y = \mathtt{*this}\). More...

void	axpy (const Real alpha, const Vector< Real > &x)
	Compute \(y \leftarrow \alpha x + y\) where \(y = \mathtt{*this}\). More...

void	zero ()
	Set to zero vector. More...

void	set (const Vector< Real > &x)
	Set \(y \leftarrow x\) where \(y = \mathtt{*this}\). More...

Public Member Functions inherited from ROL::Vector< Real >
virtual	~Vector ()

virtual ROL::Ptr< Vector >	basis (const int i) const
	Return i-th basis vector. More...

virtual int	dimension () const
	Return dimension of the vector space. More...

virtual void	print (std::ostream &outStream) const

virtual std::vector< Real >	checkVector (const Vector< Real > &x, const Vector< Real > &y, const bool printToStream=true, std::ostream &outStream=std::cout) const
	Verify vector-space methods. More...

Private Types
using	V = Vector< Real >

using	PrimalVector = RieszPrimalVector< Real >

using	OP = LinearOperator< Real >

Private Member Functions
void	initialize_primal (void) const

Private Attributes
const ROL::Ptr< V >	v_

ROL::Ptr< PrimalVector >	primal_

const ROL::Ptr< OP >	op_

Real	tol_

bool	isPrimalInitialized_

Detailed Description

template<class Real>
class ROL::RieszDualVector< Real >

Definition at line 73 of file ROL_RieszVector.hpp.

Member Typedef Documentation

template<class Real >

using ROL::RieszDualVector< Real >::V = Vector<Real>

private

Definition at line 165 of file ROL_RieszVector.hpp.

template<class Real >

using ROL::RieszDualVector< Real >::PrimalVector = RieszPrimalVector<Real>

private

Definition at line 166 of file ROL_RieszVector.hpp.

template<class Real >

using ROL::RieszDualVector< Real >::OP = LinearOperator<Real>

private

Definition at line 167 of file ROL_RieszVector.hpp.

Constructor & Destructor Documentation

template<class Real >

ROL::RieszDualVector< Real >::RieszDualVector	(	const ROL::Ptr< V > &	v,
		const ROL::Ptr< OP > &	op,
		Real	tol = `std::sqrt(ROL_EPSILON<Real>())`
	)

inline

Definition at line 187 of file ROL_RieszVector.hpp.

template<class Real >

virtual ROL::RieszDualVector< Real >::~RieszDualVector ( )

inlinevirtual

Definition at line 193 of file ROL_RieszVector.hpp.

Member Function Documentation

template<class Real >

void ROL::RieszDualVector< Real >::initialize_primal ( void ) const

inlineprivate

Definition at line 178 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::isPrimalInitialized_, ROL::RieszDualVector< Real >::op_, ROL::RieszDualVector< Real >::primal_, ROL::RieszDualVector< Real >::tol_, and ROL::RieszDualVector< Real >::v_.

Referenced by ROL::RieszDualVector< Real >::dot(), and ROL::RieszDualVector< Real >::dual().

template<class Real >

virtual Real ROL::RieszDualVector< Real >::dot ( const V & x ) const

inlinevirtual

Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector that forms the dot product with \(\mathtt{*this}\).

Returns: The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::ElementwiseVector< Real >.

Definition at line 195 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::initialize_primal(), ROL::RieszDualVector< Real >::isPrimalInitialized_, and ROL::RieszDualVector< Real >::primal_.

template<class Real >

virtual ROL::Ptr<V> ROL::RieszDualVector< Real >::clone ( ) const

inlinevirtual

Clone to make a new (uninitialized) vector.

Returns: A reference-counted pointer to the cloned vector.

Provides the means of allocating temporary memory in ROL.

Implements ROL::Vector< Real >.

Definition at line 204 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::op_, ROL::RieszDualVector< Real >::tol_, and ROL::RieszDualVector< Real >::v_.

template<class Real >

virtual const V& ROL::RieszDualVector< Real >::dual ( void ) const

inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns: A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.

Reimplemented from ROL::Vector< Real >.

Definition at line 208 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::initialize_primal(), ROL::RieszDualVector< Real >::isPrimalInitialized_, and ROL::RieszDualVector< Real >::primal_.

template<class Real >

void ROL::RieszDualVector< Real >::applyUnary ( const Elementwise::UnaryFunction< Real > & f )

inlinevirtual

Implements ROL::ElementwiseVector< Real >.

Definition at line 215 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::v_.

template<class Real >

void ROL::RieszDualVector< Real >::applyBinary	(	const Elementwise::BinaryFunction< Real > &	f,
		const V &	x
	)

inlinevirtual

Implements ROL::ElementwiseVector< Real >.

Definition at line 219 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::v_.

template<class Real >

Real ROL::RieszDualVector< Real >::reduce ( const Elementwise::ReductionOp< Real > & r ) const

inlinevirtual

Implements ROL::ElementwiseVector< Real >.

Definition at line 224 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::v_.

template<class Real >

void ROL::RieszDualVector< Real >::setScalar ( const Real C )

inlinevirtual

Set \(y \leftarrow C\) where \(C\in\mathbb{R}\).

Parameters

[in] C is a scalar.

On return \(\mathtt{*this} = C\). Uses applyUnary methods for the computation. Please overload if a more efficient implementation is needed.

Reimplemented from ROL::Vector< Real >.

Definition at line 228 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::v_.

template<class Real >

void ROL::RieszDualVector< Real >::randomize	(	const Real	l = `0.0`,
		const Real	u = `1.0`
	)

inlinevirtual

Set vector to be uniform random between [l,u].

Parameters

[in]	l	is a the lower bound.
[in]	u	is a the upper bound.

On return the components of \(\mathtt{*this}\) are uniform random numbers on the interval \([l,u]\). The default implementation uses applyUnary methods for the computation. Please overload if a more efficient implementation is needed.

Reimplemented from ROL::Vector< Real >.

Definition at line 232 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::v_.

template<class Real >

ROL::Ptr<V> ROL::RieszDualVector< Real >::getVector ( void )

inline

Definition at line 236 of file ROL_RieszVector.hpp.

References ROL::RieszDualVector< Real >::v_.

template<class Real >

ROL::Ptr<const V> ROL::RieszDualVector< Real >::getVector ( void ) const

inline

Definition at line 240 of file ROL_RieszVector.hpp.