Solver with after iterations. More...

#include <afterIteration.hh>

Inheritance diagram for concepts::AfterIteration< F >:
concepts::Operator< F >

Public Types

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

Public Member Functions

 AfterIteration (Operator< F > &A, Operator< F > &solver, const uint afterIter=0)
 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...
 
virtual void operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
 Application operator for complex function fncY. More...
 
virtual void operator() (const Function< F > &fncY, Function< F > &fncX)
 
virtual void operator() (const Function< r_type > &fncY, Function< F > &fncX)
 Application operator for real function fncY. More...
 
const Vector< F > & residual ()
 
const Vector< F > & residual (uint i)
 
virtual void show_messages ()
 
const Vector< F > & solution ()
 
const Vector< F > & solution (uint i)
 
virtual ~AfterIteration ()
 

Protected Member Functions

virtual std::ostream & info (std::ostream &os) const
 

Protected Attributes

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

Private Attributes

Operator< F > & A_
 Matrix A and the solver for A. More...
 
uint afterIter_
 Number of after iterations. More...
 
uint cnt_
 Counter. More...
 
Sequence< Vector< F > > residual_
 Residual vector after each solving. More...
 
Sequence< Vector< F > > solution_
 Solution vector after each solving. More...
 
Operator< F > & solver_
 

Detailed Description

template<class F>
class concepts::AfterIteration< F >

Solver with after iterations.

Calculates the residuum in each step and takes it as right hand hide vector for corrections.

Author
Kersten Schmidt, 2005

Definition at line 27 of file afterIteration.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::AfterIteration< F >::type

Type of data, e.g. matrix entries.

Definition at line 30 of file afterIteration.hh.

Constructor & Destructor Documentation

◆ AfterIteration()

template<class F >
concepts::AfterIteration< F >::AfterIteration ( Operator< F > &  A,
Operator< F > &  solver,
const uint  afterIter = 0 
)

Constructor.

Parameters
AMatrix, to be inverted
solverSolver
afterIterNumber of after iterations

◆ ~AfterIteration()

template<class F >
virtual concepts::AfterIteration< F >::~AfterIteration ( )
inlinevirtual

Definition at line 40 of file afterIteration.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)

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)

Definition at line 98 of file compositions.hh.

◆ info()

template<class F >
virtual std::ostream& concepts::AfterIteration< F >::info ( std::ostream &  os) const
protectedvirtual

Reimplemented from concepts::Operator< F >.

◆ operator()() [1/4]

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

◆ operator()() [2/4]

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::DiagonalSolver< F >, concepts::LiCo< F >, concepts::LiCoI< F >, concepts::Multiple< F >, concepts::VecOperator< F >, concepts::VecOperator< T >, concepts::VecOperator< F::d_type >, concepts::VecOperator< Cmplx >, and concepts::VecOperator< Real >.

◆ operator()() [3/4]

template<class F >
virtual void concepts::AfterIteration< F >::operator() ( const Function< F > &  fncY,
Function< F > &  fncX 
)
virtual

◆ operator()() [4/4]

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

Reimplemented in concepts::VecOperator< T >, concepts::VecOperator< Real >, concepts::LiCo< F >, concepts::LiCoI< F >, concepts::Multiple< F >, concepts::VecOperator< F >, concepts::VecOperator< F::d_type >, and concepts::VecOperator< Cmplx >.

◆ residual() [1/2]

template<class F >
const Vector<F>& concepts::AfterIteration< F >::residual ( )

◆ residual() [2/2]

template<class F >
const Vector<F>& concepts::AfterIteration< F >::residual ( uint  i)

◆ show_messages()

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

Reimplemented in concepts::Newton< F >, concepts::MumpsOverlap< F >, and concepts::Mumps< F >.

Definition at line 100 of file compositions.hh.

◆ solution() [1/2]

template<class F >
const Vector<F>& concepts::AfterIteration< F >::solution ( )

◆ solution() [2/2]

template<class F >
const Vector<F>& concepts::AfterIteration< F >::solution ( uint  i)

Member Data Documentation

◆ A_

template<class F >
Operator<F>& concepts::AfterIteration< F >::A_
private

Matrix A and the solver for A.

Definition at line 52 of file afterIteration.hh.

◆ afterIter_

template<class F >
uint concepts::AfterIteration< F >::afterIter_
private

Number of after iterations.

Definition at line 54 of file afterIteration.hh.

◆ cnt_

template<class F >
uint concepts::AfterIteration< F >::cnt_
private

Counter.

Definition at line 56 of file afterIteration.hh.

◆ 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.

◆ residual_

template<class F >
Sequence<Vector<F> > concepts::AfterIteration< F >::residual_
private

Residual vector after each solving.

Definition at line 60 of file afterIteration.hh.

◆ solution_

template<class F >
Sequence<Vector<F> > concepts::AfterIteration< F >::solution_
private

Solution vector after each solving.

Definition at line 58 of file afterIteration.hh.

◆ solver_

template<class F >
Operator<F> & concepts::AfterIteration< F >::solver_
private

Definition at line 52 of file afterIteration.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich