Base class for all linear operators mapping vectors to vectors. More...
#include <TLinearOperator.hh>
Inheritance diagram for TLinearOperator:
Public Member Functions | |
| virtual bool | is_complex () const =0 |
| return true, if field type is complex | |
| virtual bool | is_self_adjoint () const =0 |
| return true, of operator is self adjoint | |
| virtual void | apply (const TVector *x, TVector *y, const matop_t op=MATOP_NORM) const =0 |
| virtual void | apply_add (const real alpha, const TVector *x, TVector *y, const matop_t op=MATOP_NORM) const =0 |
| virtual auto | domain_vector () const -> std::unique_ptr< TVector >=0 |
| return vector in domain space | |
| virtual auto | range_vector () const -> std::unique_ptr< TVector >=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
|
pure virtual |
mapping function of linear operator 
, e.g. 
. Depending on op, either , 
or 
is applied.
Implemented in TMatrix, TFacInvMatrix, TSOR, TJacobi, and TPermMatrix.
|
pure virtual |
mapping function with update: 
. Depending on op, either , or is applied.
Implemented in TMatrix, TFacInvMatrix, TSOR, TJacobi, and TPermMatrix.
