implements SOR preconditioner for sparse matrices More...

#include <TSOR.hh>

Inheritance diagram for TSOR:

Public Member Functions
	TSOR (const TSparseMatrix *A, const sor_type_t sor_type, const real omega=1.0, const real damping=1.0)

const TMatrix *	matrix () const
	return internal sparse matrix

sor_type_t	sor_type () const
	return SOR type

real	damping_factor () const
	return damping factor

bool	is_complex () const
	return true, if field type is complex

bool	is_self_adjoint () const
	return true, of operator is self adjoint

virtual void	apply (const TVector x, TVector y, const matop_t op=apply_normal) const

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

virtual auto	domain_vector () const -> std::unique_ptr< TVector >
	return vector in domain space

virtual auto	range_vector () const -> std::unique_ptr< TVector >
	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

TSOR provides application of a SOR type preconditioner for a given sparse matrix $A = D - E - F$ , with diagonal D, strictly lower triangular matrix E and strictly upper triangular matrix F.

For forward SOR, the applied operator is $\omega ( D - \omega E )^{-1}$ , for backward SOR $\omega ( D - \omega F )^{-1}$ and the combination of both for the symmetric SOR.

Constructor & Destructor Documentation

◆ TSOR()

TSOR	(	const TSparseMatrix *	A,
		const sor_type_t	sor_type,
		const real	omega = `1.0`,
		const real	damping = `1.0`
	)

constructs SOR preconditioner of type sor_type using coefficients as defined by sparse matrix A

Member Function Documentation

◆ apply()

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

virtual

mapping function of linear operator $A$ , e.g. $y := A(x)$ . Depending on op, either $A$ , $A^T$ or $A^H$ is applied.

Implements TLinearOperator.

◆ apply_add()

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