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=apply_normal) const =0

virtual void	apply_add (const real alpha, const TVector x, TVector y, const matop_t op=apply_normal) 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

◆ apply()

virtual void apply	(	const TVector *	x,
		TVector *	y,
		const matop_t	op = `apply_normal`
	)		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, TGaussSeidel, TFacInvMatrix, TSOR, TJacobi, TPermMatrix, TMatrixSum< N >, TMatrixProduct< N >, and TNearfieldMulVec.

◆ apply_add()

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