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.