TLinearIteration Class Reference

Implements linear iteration \(x_{i+1} = x_k + N (A x_i - b)\). More...

#include <TLinearIteration.hh>

Inherits TSolver.

Public Member Functions
	TLinearIteration (const TStopCriterion &stop_crit=TStopCriterion())
	construct linear iteration solver object
	TLinearIteration (const double damping, const TStopCriterion &stop_crit=TStopCriterion())
	construct linear iteration solver object with damping
virtual	~TLinearIteration ()
	dtor
template<typename value_t , typename value_pre_t >
void	solve (const TLinearOperator< value_t > *A, TVector< value_t > *x, const TVector< value_t > *b, const TLinearOperator< value_pre_t > *W=nullptr, TSolverInfo *info=nullptr) const
	solve A·x = b with optional preconditioner W
template<typename value_t >
void	solve (const TLinearOperator< value_t > *A, TMatrix< value_t > *X, const TMatrix< value_t > *B, const TLinearOperator< value_t > *W=nullptr, TSolverInfo *info=nullptr) const
	solve A·X = B with optional preconditioner W
virtual void	solve (any_const_operator_t A, any_vector_t x, any_const_vector_t b, any_const_operator_t W, TSolverInfo *info=nullptr) const
	solve A·x = b with optional preconditioner W

Detailed Description

\detail The class TLinearIteration implements a linear iteration solver based on the second normal form \(x_{i+1} = x_k + N (A x_i - b)\) with the iteration matrix \(N\). Please note, that the iteration matrix is defined as the preconditioner \(W\), e.g., for other linear iterations like Jacobi, GS or SOR, please use the correct preconditioner.