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Public Types | Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
aglowav::CGt2< F > Class Template Reference

#include <operator.hh>

Inheritance diagram for aglowav::CGt2< F >:
concepts::Operator< F > concepts::OutputOperator

Public Types

typedef F type
 Type of data, e.g. matrix entries.
 
typedef Realtype< F >::type r_type
 Real type of data type.
 
typedef Cmplxtype< F >::type c_type
 Real type of data type.
 

Public Member Functions

 CGt2 (const Haar3d< F > &spc, concepts::Real t)
 Constructor.
 
void operator() (const concepts::Function< F > &fncY, concepts::Function< F > &fncX)
 
void operator() (const concepts::Vector< F > &fncY, concepts::Vector< F > &fncX)
 
const Haar3d< F > & spaceX () const
 Spaces of the transformation.
 
const Haar3d< F > & spaceY () const
 
virtual void operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
 
virtual void operator() ()
 
virtual const uint dimX () const
 
virtual const uint dimY () const
 
virtual void show_messages ()
 

Protected Member Functions

std::ostream & info (std::ostream &os) const
 Information about the operator.
 

Protected Attributes

uint dimX_
 Dimension of image space and the source space.
 
uint dimY_
 

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

template<class F >
typedef Cmplxtype<F>::type concepts::Operator< F >::c_type
inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

◆ r_type

template<class F >
typedef Realtype<F>::type concepts::Operator< F >::r_type
inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

◆ type

template<class F >
typedef F concepts::Operator< F >::type
inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Member Function Documentation

◆ dimX()

template<class F >
virtual const uint concepts::Operator< F >::dimX ( ) const
inlinevirtualinherited

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

Examples
hpFEM2d-simple.cc, hpFEM2d.cc, and matfileTutorial.cc.

Definition at line 93 of file compositions.hh.

◆ dimY()

template<class F >
virtual const uint concepts::Operator< F >::dimY ( ) const
inlinevirtualinherited

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

Examples
matfileTutorial.cc.

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< F >.

◆ operator()() [1/3]

template<class F >
virtual void concepts::Operator< F >::operator() ( )
virtualinherited

Application operator without argument

Reimplemented in concepts::BelosSolver< T >, concepts::VecOperator< F >, concepts::VecOperator< Cmplx >, concepts::VecOperator< F::d_type >, concepts::VecOperator< Real >, and concepts::VecOperator< T >.

◆ operator()() [2/3]

template<class F = concepts::Real>
void aglowav::CGt2< F >::operator() ( const concepts::Function< F > &  fncY,
concepts::Function< F > &  fncX 
)
virtual

Matrix vector multiplication

Exceptions
MissingFeature

Reimplemented from concepts::Operator< F >.

◆ operator()() [3/3]

template<class F >
virtual void concepts::Operator< F >::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.

Reimplemented in concepts::VecOperator< F >, concepts::VecOperator< Cmplx >, concepts::VecOperator< F::d_type >, concepts::VecOperator< Real >, concepts::VecOperator< T >, concepts::Multiple< F >, concepts::LiCoI< F >, concepts::LiCo< F >, concepts::DenseMatrix< F >, concepts::DiagonalMatrix< F >, concepts::Permutation< F >, concepts::Permutation< Real >, concepts::SparseMatrix< F >, concepts::SparseMatrix< FX >, concepts::SparseMatrix< Real >, concepts::SubMatrixN< F >, concepts::Transpose< F >, concepts::Matrix< F >, concepts::Matrix< F::type >, concepts::Matrix< FX >, concepts::Matrix< Real >, and concepts::DiagonalSolver< F >.

◆ show_messages()

template<class F >
virtual void concepts::Operator< F >::show_messages ( )
inlinevirtualinherited

Reimplemented in concepts::MumpsOverlap< F >.

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_

template<class F >
uint concepts::Operator< F >::dimX_
protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

◆ dimY_

template<class F >
uint concepts::Operator< F >::dimY_
protectedinherited

Definition at line 104 of file compositions.hh.

The documentation for this class was generated from the following file:
Generated on Wed Sep 13 2023 21:06:26 for Concepts by doxygen 1.9.8