Kaskade::SymmetricMatrixOperator< X, Matrix > Class Template Reference

A symmetric operator represented by a matrix. More...

#include <symmetricOperators.hh>

Detailed Description

template<class X, class Matrix>
class Kaskade::SymmetricMatrixOperator< X, Matrix >

A symmetric operator represented by a matrix.

Definition at line 109 of file symmetricOperators.hh.

Inheritance diagram for Kaskade::SymmetricMatrixOperator< X, Matrix >:

Public Types
typedef X::field_type	field_type

Public Member Functions
	SymmetricMatrixOperator (Matrix const &A_)
virtual void	apply (X const &x, X &y) const
virtual void	applyscaleadd (field_type alpha, X const &x, X &y) const
virtual field_type	applyDp (X const &x, X &y) const
	operator application Computes \( y \leftarrow Ax \) and returns the dual pairing \( \langle x,y \rangle \). More...
virtual field_type	dp (X const &x, X const &y) const
	returns the dual pairing \( \langle x, y \rangle \) with respect to which the operator is symmetric More...
virtual Dune::SolverCategory::Category	category () const override
	returns the category of the operator More...

Member Typedef Documentation

field_type

template<class X , class Matrix >

typedef X::field_type Kaskade::SymmetricMatrixOperator< X, Matrix >::field_type

Definition at line 112 of file symmetricOperators.hh.

Constructor & Destructor Documentation

SymmetricMatrixOperator()

template<class X , class Matrix >

Kaskade::SymmetricMatrixOperator< X, Matrix >::SymmetricMatrixOperator ( Matrix const &  A_ )

inline

Definition at line 114 of file symmetricOperators.hh.

Member Function Documentation

apply()

template<class X , class Matrix >

virtual void Kaskade::SymmetricMatrixOperator< X, Matrix >::apply ( X const &  x, X &  y  ) const

inlinevirtual

Definition at line 118 of file symmetricOperators.hh.

applyDp()

template<class X , class Matrix >

virtual field_type Kaskade::SymmetricMatrixOperator< X, Matrix >::applyDp ( X const &  x, X &  y  ) const

inlinevirtual

operator application Computes \( y \leftarrow Ax \) and returns the dual pairing \( \langle x,y \rangle \).

Reimplemented from Kaskade::SymmetricLinearOperator< X, X >.

Definition at line 132 of file symmetricOperators.hh.

applyscaleadd()

template<class X , class Matrix >

virtual void Kaskade::SymmetricMatrixOperator< X, Matrix >::applyscaleadd ( field_type  alpha, X const &  x, X &  y  ) const

inlinevirtual

Definition at line 123 of file symmetricOperators.hh.

category()

virtual Dune::SolverCategory::Category Kaskade::SymmetricLinearOperator< X, X >::category ( ) const

inlineoverridevirtualinherited

returns the category of the operator

From the Dune doxygen documentation it is unclear what this is supposed to mean. We return a dummy here.

Definition at line 98 of file symmetricOperators.hh.

dp()

template<class X , class Matrix >

virtual field_type Kaskade::SymmetricMatrixOperator< X, Matrix >::dp ( X const &  x, X const &  y  ) const

inlinevirtual

returns the dual pairing \( \langle x, y \rangle \) with respect to which the operator is symmetric

Implements Kaskade::SymmetricLinearOperator< X, X >.

Definition at line 141 of file symmetricOperators.hh.

Referenced by Kaskade::SymmetricMatrixOperator< X, Matrix >::applyDp().

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

• symmetricOperators.hh