Prec< T_ > Class Template Reference

To set a preconditioner. More...

#include <Prec.h>

Public Member Functions
	Prec ()
	Default constructor.
	Prec (int type)
	Constructor that chooses preconditioner. More...
	Prec (const SpMatrix< T_ > &A, int type=DIAG_PREC)
	Constructor using matrix of the linear system to precondition. More...
	Prec (const Matrix< T_ > *A, int type=DIAG_PREC)
	Constructor using matrix of the linear system to precondition. More...
	~Prec ()
	Destructor.
void	setType (int type)
	Define preconditioner type. More...
void	setMatrix (const Matrix< T_ > *A)
	Define pointer to matrix for preconditioning (if this one is abstract) More...
void	setMatrix (const SpMatrix< T_ > &A)
	Define the matrix for preconditioning. More...
void	solve (Vect< T_ > &x) const
	Solve a linear system with preconditioning matrix. More...
void	solve (const Vect< T_ > &b, Vect< T_ > &x) const
	Solve a linear system with preconditioning matrix. More...
void	TransSolve (Vect< T_ > &x) const
	Solve a linear system with transposed preconditioning matrix. More...
void	TransSolve (const Vect< T_ > &b, Vect< T_ > &x) const
	Solve a linear system with transposed preconditioning matrix. More...
T_ &	getPivot (size_t i) const
	Return i-th pivot of preconditioning matrix.

Detailed Description

template<class T_>
class OFELI::Prec< T_ >

To set a preconditioner.

The preconditioner type is chosen in the constructor

Template Parameters

<T_>	Data type (real_t, float, complex<real_t>, ...)

Author

Rachid Touzani

Copyright

GNU Lesser Public License

Constructor & Destructor Documentation

Prec() [1/3]

Prec

(

int

type

)

Constructor that chooses preconditioner.

Parameters

[in]

type

Preconditioner type: IDENT_PREC: Identity preconditioner (No preconditioning) DIAG_PREC: Diagonal preconditioner DILU_PREC: Diagonal Incomplete factorization preconditioner ILU_PREC: Incomplete factorization preconditioner SSOR_PREC: SSOR (Symmetric Successive Over Relaxation) preconditioner

Prec() [2/3]

Prec	(	const SpMatrix< T_ > &	A,
		int	type = DIAG_PREC
	)

Constructor using matrix of the linear system to precondition.

Parameters

[in]	A	Matrix to precondition
[in]	type	Preconditioner type: IDENT_PREC: Identity preconditioner (No preconditioning) DIAG_PREC: Diagonal preconditioner DILU_PREC: Diagonal Incomplete factorization preconditioner ILU_PREC: Incomplete factorization preconditioner SSOR_PREC: SSOR (Symmetric Successive Over Relaxation) preconditioner

Prec() [3/3]

Prec	(	const Matrix< T_ > *	A,
		int	type = DIAG_PREC
	)

Constructor using matrix of the linear system to precondition.

Parameters

[in]	A	Pointer to abstract Matrix class to precondition
[in]	type	Preconditioner type: IDENT_PREC: Identity preconditioner (No preconditioning) DIAG_PREC: Diagonal preconditioner DILU_PREC: Diagonal Incomplete factorization preconditioner ILU_PREC: Incomplete factorization preconditioner SSOR_PREC: SSOR (Symmetric Successive Over Relaxation) preconditioner

Member Function Documentation

setMatrix() [1/2]

void setMatrix

(

const Matrix< T_ > *

A

)

Define pointer to matrix for preconditioning (if this one is abstract)

Parameters

[in]

A

Matrix to precondition

setMatrix() [2/2]

void setMatrix

(

const SpMatrix< T_ > &

A

)

Define the matrix for preconditioning.

Parameters

[in]

A

Matrix to precondition (instance of class SpMatrix)

setType()

void setType

(

int

type

)

Define preconditioner type.

Parameters

[in]

type

Preconditioner type: IDENT_PREC: Identity preconditioner (No preconditioning) DIAG_PREC: Diagonal preconditioner DILU_PREC: Diagonal Incomplete factorization preconditioner ILU_PREC: Incomplete factorization preconditioner SSOR_PREC: SSOR (Symmetric Successive Over Relaxation) preconditioner

solve() [1/2]

void solve	(	const Vect< T_ > &	b,
		Vect< T_ > &	x
	)		const

Solve a linear system with preconditioning matrix.

Parameters

[in]	b	Right-hand side
[out]	x	Solution vector

solve() [2/2]

void solve

(

Vect< T_ > &

x

)

const

Solve a linear system with preconditioning matrix.

Parameters

[in,out]

x

Right-hand side on input and solution on output.

TransSolve() [1/2]

void TransSolve	(	const Vect< T_ > &	b,
		Vect< T_ > &	x
	)		const

Solve a linear system with transposed preconditioning matrix.

Parameters

[in]	b	Right-hand side vector
[out]	x	Solution vector

TransSolve() [2/2]

void TransSolve

(

Vect< T_ > &

x

)

const

Solve a linear system with transposed preconditioning matrix.

Parameters

[in,out]

x

Right-hand side in input and solution in output.