HLIBpro  2.5.1
Public Member Functions | List of all members
TLinearIteration Class Reference
Solver

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 real damping, const TStopCriterion &stop_crit=TStopCriterion())
 construct linear iteration solver object with damping
 
virtual ~TLinearIteration ()
 dtor
 
virtual void solve (const TLinearOperator *A, TVector *x, const TVector *b, const TLinearOperator *W=nullptr, TSolverInfo *info=nullptr) const
 solve A·x = b with optional preconditioner W
 
virtual void solve (const TLinearOperator *A, TMatrix *X, const TMatrix *B, const TLinearOperator *W=nullptr, TSolverInfo *info=nullptr) const
 solve A·X = B with optional preconditioner W
 

Detailed Description

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.