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

virtual void apply	(	const TVector *	x,
		TVector *	y,
		const matop_t	op = `MATOP_NORM`
	)		const

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 TMatrix, TFacInvMatrix, TSOR, TMatrixProduct< N >, TJacobi, and TPermMatrix.

virtual void apply_add	(	const real	alpha,
		const TVector *	x,
		TVector *	y,
		const matop_t	op = `MATOP_NORM`
	)		const

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 TMatrix, TFacInvMatrix, TSOR, TMatrixProduct< N >, TJacobi, and TPermMatrix.

Public Member Functions

Detailed Description

Member Function Documentation