gmres.h File Reference

Iterative solver for linear systems TBCI::GMRES. More...

#include "tbci/basics.h"

Include dependency graph for gmres.h:

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Functions
NAMESPACE_TBCI	INST2 (template< Matrix< T >, Vector< T > > class NN friend void Update(Vector< T > &, int, Matrix< T > &, Vector< T > &, Vector< T > *);) INST2(template< BdMatrix< T >
NAMESPACE_TBCI Vector< T > class NN friend void	Update (Vector< T > &, int, BdMatrix< T > &, Vector< T > &, Vector< T > *)
template<typename SysMatrix, typename SysVector>
void	Update (SysVector &x, int k, SysMatrix &h, SysVector &s, SysVector *V)
	INST (template< typename T > class NN friend void GeneratePlaneRotation(const T &, const double &, double &, T &);) template< typename T > inline void GeneratePlaneRotation(const T &dx
	We follow Frayssé, Giraud, Gratton for the complex implementation of the Givens plane rotations.

Variables
const double &	dy
const double double &	cs

Detailed Description

Iterative solver for linear systems TBCI::GMRES.

Definition in file gmres.h.

Function Documentation

INST()

INST

(

template< typename T > class NN friend void GeneratePlaneRotation(const T &, const double &, double &, T &);

)

const &

We follow Frayssé, Giraud, Gratton for the complex implementation of the Givens plane rotations.

http://www.cerfacs.fr/algor/ There, cs is chosen to always be real, whereas sn is complex and the roation is given by (* denoting complex conjugate) x' = cs* x + sn* y y' = -sn x + cs y = 0

References T.

INST2()

NAMESPACE_TBCI INST2

(

template< Matrix< T >, Vector< T > > class NN friend void Update(Vector< T > &, int, Matrix< T > &, Vector< T > &, Vector< T > *);

)

References Update().

Update() [1/2]

template<typename SysMatrix, typename SysVector>

void Update	(	SysVector &	x,
		int	k,
		SysMatrix &	h,
		SysVector &	s,
		SysVector *	V )

Definition at line 22 of file gmres.h.

References h, i, SysMatrix, x, and y.

Update() [2/2]

NAMESPACE_TBCI Vector< T > class NN friend void Update	(	Vector< T > &	,
		int	,
		BdMatrix< T > &	,
		Vector< T > &	,
		Vector< T > *	)

References Update().

Referenced by INST2(), and Update().

Variable Documentation

cs

const double double& cs

Definition at line 53 of file gmres.h.

dy

const double& dy

Definition at line 53 of file gmres.h.