ir.h File Reference

Iterative Refinement Solver TBCI::IR. More...

#include "tbci/basics.h"

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Functions
NAMESPACE_TBCI	INST3 (template< typename T, Matrix< T >, Vector< T > > class NN friend int IR(const Matrix< T > &, Vector< T > &, const Vector< T > &, const Preconditioner_Sig< T, Matrix< T > > &, unsigned int &, double &);) INST3(template< typename T
	Iterative template routine – Preconditioned Richardson. More...
NAMESPACE_TBCI Vector< T > class NN friend int	IR (const BdMatrix< T > &, Vector< T > &, const Vector< T > &, const Preconditioner_Sig< T, BdMatrix< T > > &, unsigned int &, double &)
template<typename T , typename SysMatrix , typename SysVector >
int	IR (const SysMatrix &A, SysVector &x, const SysVector &b, const Preconditioner_Sig< T, SysMatrix > &M, unsigned int &max_iter, double &tol)

Variables
NAMESPACE_TBCI	BdMatrix< T >

Detailed Description

Iterative Refinement Solver TBCI::IR.

Definition in file ir.h.

Function Documentation

NAMESPACE_TBCI INST3

(

template< typename T, Matrix< T >, Vector< T > > class NN friend int IR(const Matrix< T > &, Vector< T > &, const Vector< T > &, const Preconditioner_Sig< T, Matrix< T > > &, unsigned int &, double &);

)

Iterative template routine – Preconditioned Richardson.

IR solves the unsymmetric linear system Ax = b using Iterative Refinement (preconditioned Richardson iteration).

Returns

The return value indicates convergence within max_iter (input) iterations (0), or no convergence within max_iter iterations (1).

Upon successful return, output arguments have the following values:

Parameters

x	– approximate solution to Ax = b
max_iter	– the number of iterations performed before the tolerance was reached
tol	– the residual after the final iteration

NAMESPACE_TBCI Vector<T> class NN friend int IR	(	const BdMatrix< T > &	,
		Vector< T > &	,
		const Vector< T > &	,
		const Preconditioner_Sig< T, BdMatrix< T > > &	,
		unsigned int &	,
		double &
	)

template<typename T , typename SysMatrix , typename SysVector >

int IR	(	const SysMatrix &	A,
		SysVector &	x,
		const SysVector &	b,
		const Preconditioner_Sig< T, SysMatrix > &	M,
		unsigned int &	max_iter,
		double &	tol
	)

Definition at line 41 of file ir.h.

References i, Preconditioner_Sig< T, MatrixType >::solve(), x, and z.

Variable Documentation

NAMESPACE_TBCI BdMatrix< T >

Definition at line 34 of file ir.h.