Weighted diagonal preconditioner for the binary Wavelets. More...

#include <operator.hh>

Inheritance diagram for aglowav::CGt2< F >:

Public Types
typedef Cmplxtype< concepts::Real >::type	c_type
	Real type of data type. More...

typedef Realtype< concepts::Real >::type	r_type
	Real type of data type. More...

typedef concepts::Real	type
	Type of data, e.g. matrix entries. More...

Public Member Functions
	CGt2 (const Haar3d< F > &spc, concepts::Real t)
	Constructor. More...

virtual const uint	dimX () const
	Returns the size of the image space of the operator (number of rows of the corresponding matrix) More...

virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix) More...

virtual void	operator() ()
	Application operator without argument. More...

void	operator() (const concepts::Function< F > &fncY, concepts::Function< F > &fncX)
	Matrix vector multiplication. More...

void	operator() (const concepts::Vector< F > &fncY, concepts::Vector< F > &fncX)

virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function `fncY`. More...

virtual void	operator() (const Function< r_type > &fncY, Function< concepts::Real > &fncX)
	Application operator for real function `fncY`. More...

virtual void	show_messages ()

const Haar3d< F > &	spaceX () const
	Spaces of the transformation. More...

const Haar3d< F > &	spaceY () const

Protected Member Functions
std::ostream &	info (std::ostream &os) const
	Information about the operator. More...

Protected Attributes
uint	dimX_
	Dimension of image space and the source space. More...

uint	dimY_

Private Attributes
const Haar3d< F > &	spc_
	Spaces of the transformation. More...

concepts::Real	t_

std::vector< concepts::Real >	val_
	Values of the diagonal entries. More...

Detailed Description

template<class F = concepts::Real>
class aglowav::CGt2< F >

Weighted diagonal preconditioner for the binary Wavelets.

The weights are $\left( \frac{\Gamma_{l,j}}{\Gamma_{0,0}} \right)^{t/2}$ where $t$ is a parameter ( $-1/2 < t \leq 0$ normally) and $\Gamma_{0,0}$ the support size on top level and $\Gamma_{l,j}$ the support size of the wavelet $\psi_{l,j}$ . param F Field (Real or Cmplx)

Definition at line 207 of file operator.hh.

Member Typedef Documentation

◆ c_type

typedef Cmplxtype<concepts::Real >::type concepts::Operator< concepts::Real >::c_type

inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

◆ r_type

typedef Realtype<concepts::Real >::type concepts::Operator< concepts::Real >::r_type

inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

◆ type

typedef concepts::Real concepts::Operator< concepts::Real >::type

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ CGt2()

template<class F = concepts::Real>

aglowav::CGt2< F >::CGt2	(	const Haar3d< F > &	spc,
		concepts::Real	t
	)

Constructor.

Member Function Documentation

◆ dimX()

virtual const uint concepts::Operator< concepts::Real >::dimX ( ) const

inlinevirtualinherited

Returns the size of the image space of the operator (number of rows of the corresponding matrix)

Definition at line 93 of file compositions.hh.

◆ dimY()

virtual const uint concepts::Operator< concepts::Real >::dimY ( ) const

inlinevirtualinherited

Returns the size of the source space of the operator (number of columns of the corresponding matrix)

Definition at line 98 of file compositions.hh.

◆ info()

template<class F = concepts::Real>

std::ostream& aglowav::CGt2< F >::info ( std::ostream & os ) const

protectedvirtual

Information about the operator.

Reimplemented from concepts::Operator< concepts::Real >.

◆ operator()() [1/5]

virtual void concepts::Operator< concepts::Real >::operator() ( )

virtualinherited

Application operator without argument.

◆ operator()() [2/5]

template<class F = concepts::Real>

void aglowav::CGt2< F >::operator()	(	const concepts::Function< F > &	fncY,
		concepts::Function< F > &	fncX
	)

Matrix vector multiplication.

Exceptions

MissingFeature

◆ operator()() [3/5]

template<class F = concepts::Real>

void aglowav::CGt2< F >::operator()	(	const concepts::Vector< F > &	fncY,
		concepts::Vector< F > &	fncX
	)

◆ operator()() [4/5]

virtual void concepts::Operator< concepts::Real >::operator()	(	const Function< c_type > &	fncY,
		Function< c_type > &	fncX
	)

virtualinherited

Application operator for complex function fncY.

Computes fncX = A(fncY) where A is this operator. fncX becomes complex.

In derived classes its enough to implement the operator() for complex Operator's. If a real counterpart is not implemented, the function fncY is splitted into real and imaginary part and the application operator for real functions is called for each. Then the result is combined.

If in a derived class the operator() for complex Operator's is not implemented, a exception is thrown from here.

◆ operator()() [5/5]

virtual void concepts::Operator< concepts::Real >::operator()	(	const Function< r_type > &	fncY,
		Function< F > &	fncX
	)

virtualinherited

Application operator for real function fncY.

Computes fncX = A(fncY) where A is this operator.

fncX becomes the type of the operator, for real data it becomes real, for complex data it becomes complex.

In derived classes its enough to implement the operator() for real Operator's. If a complex counterpart is not implemented, the function fncY is transformed to a complex function and then the application operator for complex functions is called.

If in a derived class the operator() for real Operator's is not implemented, a exception is thrown from here.

◆ show_messages()

virtual void concepts::Operator< concepts::Real >::show_messages ( )

inlinevirtualinherited

Definition at line 100 of file compositions.hh.

◆ spaceX()

template<class F = concepts::Real>

const Haar3d<F>& aglowav::CGt2< F >::spaceX ( ) const

inline

Spaces of the transformation.

Definition at line 220 of file operator.hh.

◆ spaceY()

template<class F = concepts::Real>

const Haar3d<F>& aglowav::CGt2< F >::spaceY ( ) const

inline

Definition at line 221 of file operator.hh.

Member Data Documentation

◆ dimX_

uint concepts::Operator< concepts::Real >::dimX_

protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

◆ dimY_

uint concepts::Operator< concepts::Real >::dimY_

protectedinherited

Definition at line 104 of file compositions.hh.

◆ spc_

template<class F = concepts::Real>

const Haar3d<F>& aglowav::CGt2< F >::spc_

private

Spaces of the transformation.

Definition at line 229 of file operator.hh.

◆ t_

template<class F = concepts::Real>

concepts::Real aglowav::CGt2< F >::t_

private

Definition at line 230 of file operator.hh.

◆ val_

template<class F = concepts::Real>

std::vector<concepts::Real> aglowav::CGt2< F >::val_

private

Values of the diagonal entries.

Definition at line 232 of file operator.hh.

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

aglowav/operator.hh

aglowav::CGt2< F > Class Template Reference

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

template<class F = concepts::Real> class aglowav::CGt2< F >

Member Typedef Documentation

◆ c_type

◆ r_type

◆ type

Constructor & Destructor Documentation

◆ CGt2()

Member Function Documentation

◆ dimX()

◆ dimY()

◆ info()

◆ operator()() [1/5]

◆ operator()() [2/5]

◆ operator()() [3/5]

◆ operator()() [4/5]

◆ operator()() [5/5]

◆ show_messages()

◆ spaceX()

◆ spaceY()

Member Data Documentation

◆ dimX_

◆ dimY_

◆ spc_

◆ t_

◆ val_

template<class F = concepts::Real>
class aglowav::CGt2< F >