Base class for all linear operators mapping vectors to vectors. More...
#include <TLinearOperator.hh>
Public Member Functions | |
| virtual bool | is_complex () const |
| return true, if field type is complex valued | |
| virtual bool | is_real () const |
| return true, if field type is real valued | |
| virtual bool | is_self_adjoint () const =0 |
| return true, of operator is self adjoint | |
| virtual void | apply (const TVector< value_t > *x, TVector< value_t > *y, const matop_t op=apply_normal) const =0 |
| virtual void | apply_add (const value_t alpha, const TVector< value_t > *x, TVector< value_t > *y, const matop_t op=apply_normal) const =0 |
| virtual void | apply_add (const value_t alpha, const BLAS::Vector< value_t > &x, BLAS::Vector< value_t > &y, const matop_t op=apply_normal) const =0 |
| virtual size_t | domain_dim () const =0 |
| return dimension of domain | |
| virtual size_t | range_dim () const =0 |
| return dimension of range | |
| virtual auto | domain_vector () const -> std::unique_ptr< TVector< value_t > >=0 |
| return vector in domain space | |
| virtual auto | range_vector () const -> std::unique_ptr< TVector< value_t > >=0 |
| return vector in range space | |
 Public Member Functions inherited from TTypeInfo | |
| virtual typeid_t | type () const =0 |
| return type ID of object | |
| virtual bool | is_type (const typeid_t t) const |
| return true if local object is of given type ID t | |
| virtual std::string | typestr () const |
| return string representation of type | |
Detailed Description
Many standard arithmetic operations only depend upon a linear operator
providing the mapping between vectors, e.g. iterativ solvers. Instead of
requiring a full matrix and hence the need for an implementation of the
full matrix algebra, an object of type TLinearOperator is fully sufficient
in such cases.
Member Function Documentation
◆ apply()
|
pure virtual |
mapping function of linear operator \(A\), e.g. \( y := A(x)\). Depending on op, either \(A\), \(A^T\) or \(A^H\) is applied.
Implemented in TFacInvMatrix< T_value >, TJacobi< T_value >, TMatrix< T_value >, TMatrixProduct< T_value >, TMatrixSum< T_value >, TNearfieldMulVec< T_value >, TPermMatrix< T_value >, TSOR< T_value >, and TGaussSeidel< T_value >.
◆ apply_add() [1/2]
|
pure virtual |
same as above but only the dimension of the vector spaces is tested, not the corresponding index sets
Implemented in TBlockMatrix< T_value >, TDenseMatrix< T_value >, TFacInvMatrix< T_value >, TJacobi< T_value >, TMatrix< T_value >, TMatrixProduct< T_value >, TMatrixSum< T_value >, TNearfieldMulVec< T_value >, TPermMatrix< T_value >, TRkMatrix< T_value >, TSOR< T_value >, and TGaussSeidel< T_value >.
◆ apply_add() [2/2]
|
pure virtual |
mapping function with update: \( y := y + \alpha A(x)\). Depending on op, either \(A\), \(A^T\) or \(A^H\) is applied.
Implemented in TFacInvMatrix< T_value >, TJacobi< T_value >, TMatrix< T_value >, TMatrixProduct< T_value >, TMatrixSum< T_value >, TNearfieldMulVec< T_value >, TPermMatrix< T_value >, TSOR< T_value >, and TGaussSeidel< T_value >.
