LinearSolver Class Reference

Class to solve systems of linear equations by direct or iterative methods. More...

Public Member Functions
	LinearSolver ()
	Default Constructor. More...
	LinearSolver (int max_it, real_t tolerance)
	Constructor with iteration parameters. More...
	LinearSolver (SpMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using matrix, right-hand side and solution vector. More...
	LinearSolver (SkMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using skyline-stored matrix, right-hand side and solution vector. More...
	LinearSolver (TrMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using a tridiagonal matrix, right-hand side and solution vector. More...
	LinearSolver (BMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using a banded matrix, right-hand side and solution vector. More...
	LinearSolver (DMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using a dense matrix, right-hand side and solution vector. More...
	LinearSolver (DSMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using a dense symmetric matrix, right-hand side and solution vector. More...
	LinearSolver (SkSMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Constructor using skyline-stored symmetric matrix, right-hand side and solution vector. More...
	LinearSolver (SkMatrix< real_t > &A, Vect< real_t > &b, Vect< real_t > &x)
	Constructor using matrix, right-hand side. More...
virtual	~LinearSolver ()
	Destructor.
void	setMaxIter (int m)
	Set Maximum number of iterations. More...
void	setTolerance (real_t tol)
	Set tolerance value.
void	setSolution (Vect< real_t > &x)
	Set solution vector.
void	setRHS (Vect< real_t > &b)
	Set right-hand side vector.
void	setMatrix (Matrix< real_t > *A)
	Set matrix in the case of a pointer to Matrix. More...
void	setMatrix (SpMatrix< real_t > &A)
	Set matrix in the case of a pointer to matrix. More...
void	setMatrix (SkMatrix< real_t > &A)
	Set matrix in the case of a skyline matrix. More...
void	set (SpMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x)
	Set matrix, right-hand side and initial guess. More...
void	setSolver (Iteration s, Preconditioner p=DIAG_PREC)
	Set solver and preconditioner. More...
Iteration	getSolver () const
	Return solver code.
Preconditioner	getPreconditioner () const
	Return solver preconditioner.
int	solve (SpMatrix< real_t > &A, const Vect< real_t > &b, Vect< real_t > &x, Iteration s, Preconditioner p=DIAG_PREC)
	Solve equations using system data, prescribed solver and preconditioner. More...
int	solve (Iteration s, Preconditioner p=DIAG_PREC)
	Solve equations using prescribed solver and preconditioner. More...
int	solve ()
	Solve equations all arguments must have been given by other member functions. More...
void	setFact ()
	Factorize matrix.
void	setNoFact ()
	Do not factorize matrix.
int	getNbIter () const
	Get number of performed iterations.

Detailed Description

Class to solve systems of linear equations by direct or iterative methods.

Author

Rachid Touzani

Copyright

GNU Lesser Public License

Constructor & Destructor Documentation

LinearSolver() [1/10]

LinearSolver

(

)

Default Constructor.

Initializes default parameters and pointers to 0.

LinearSolver() [2/10]

LinearSolver	(	int	max_it,
		real_t	tolerance
	)

Constructor with iteration parameters.

Parameters

[in]	max_it	Maximal number of iterations
[in]	tolerance	Tolerance for convergence (measured in relative weighted 2-Norm) in input, effective discrepancy in output.

LinearSolver() [3/10]

LinearSolver	(	SpMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using matrix, right-hand side and solution vector.

Parameters

[in]	A	Reference to instance of class SpMatrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [4/10]

LinearSolver	(	SkMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using skyline-stored matrix, right-hand side and solution vector.

Parameters

[in]	A	SkMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [5/10]

LinearSolver	(	TrMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using a tridiagonal matrix, right-hand side and solution vector.

Parameters

[in]	A	TrMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [6/10]

LinearSolver	(	BMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using a banded matrix, right-hand side and solution vector.

Parameters

[in]	A	BMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [7/10]

LinearSolver	(	DMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using a dense matrix, right-hand side and solution vector.

Parameters

[in]	A	DMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [8/10]

LinearSolver	(	DSMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using a dense symmetric matrix, right-hand side and solution vector.

Parameters

[in]	A	DSMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [9/10]

LinearSolver	(	SkSMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using skyline-stored symmetric matrix, right-hand side and solution vector.

Parameters

[in]	A	SkMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains initial guess on input and solution on output

LinearSolver() [10/10]

LinearSolver	(	SkMatrix< real_t > &	A,
		Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Constructor using matrix, right-hand side.

Parameters

[in]	A	SkMatrix instance that contains matrix
[in]	b	Vect instance that contains the right-hand side
[in,out]	x	Vect instance that contains the initial guess on input and solution on output

Member Function Documentation

set()

void set	(	SpMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x
	)

Set matrix, right-hand side and initial guess.

Parameters

[in]	A	Reference to matrix as a SpMatrix instance
[in]	b	Vector containing right-hand side
[in,out]	x	Vector containing initial guess on input and solution on output

setMatrix() [1/3]

void setMatrix

(

Matrix< real_t > *

A

)

Set matrix in the case of a pointer to Matrix.

Parameters

[in]

A

Pointer to abstract Matrix class

setMatrix() [2/3]

void setMatrix

(

SpMatrix< real_t > &

A

)

Set matrix in the case of a pointer to matrix.

Parameters

[in]

A

Pointer to abstract Matrix class

setMatrix() [3/3]

void setMatrix

(

SkMatrix< real_t > &

A

)

Set matrix in the case of a skyline matrix.

Parameters

[in]

A

Matrix as instance of class SkMatrix

setMaxIter()

void setMaxIter

(

int

m

)

Set Maximum number of iterations.

Default value is 1000

setSolver()

void setSolver	(	Iteration	s,
		Preconditioner	p = DIAG_PREC
	)

Set solver and preconditioner.

Parameters

[in]	s	Solver identification parameter. To be chosen in the enumeration variable Iteration: DIRECT_SOLVER, CG_SOLVER, CGS_SOLVER, BICG_SOLVER, BICG_STAB_SOLVER, GMRES_SOLVER, QMR_SOLVER
[in]	p	Preconditioner identification parameter. By default, the diagonal preconditioner is used. To be chosen in the enumeration variable Preconditioner: IDENT_PREC, DIAG_PREC, SSOR_PREC, ILU_PREC [Default: ILU_PREC]

Note

The argument p has no effect if the solver is DIRECT_SOLVER

solve() [1/3]

int solve	(	SpMatrix< real_t > &	A,
		const Vect< real_t > &	b,
		Vect< real_t > &	x,
		Iteration	s,
		Preconditioner	p = DIAG_PREC
	)

Solve equations using system data, prescribed solver and preconditioner.

Parameters

[in]	A	Reference to matrix as a SpMatrix instance
[in]	b	Vector containing right-hand side
[in,out]	x	Vector containing initial guess on input and solution on output
[in]	s	Solver identification parameter To be chosen in the enumeration variable Iteration: DIRECT_SOLVER, CG_SOLVER, CGS_SOLVER, BICG_SOLVER, BICG_STAB_SOLVER, GMRES_SOLVER, QMR_SOLVER [Default: CGS_SOLVER]
[in]	p	Preconditioner identification parameter. To be chosen in the enumeration variable Preconditioner: IDENT_PREC, DIAG_PREC, SSOR_PREC, ILU_PREC, DILU_PREC [Default: DIAG_PREC]

Remarks

The argument p has no effect if the solver is DIRECT_SOLVER

Warning

If the library eigen is used, only the preconditioners IDENT_PREC, DIAG_PREC and ILU_PREC are available.

solve() [2/3]

int solve	(	Iteration	s,
		Preconditioner	p = DIAG_PREC
	)

Solve equations using prescribed solver and preconditioner.

Parameters

[in]	s	Solver identification parameter To be chosen in the enumeration variable Iteration: DIRECT_SOLVER, CG_SOLVER, CGS_SOLVER, BICG_SOLVER, BICG_STAB_SOLVER, GMRES_SOLVER, QMR_SOLVER [Default: CGS_SOLVER]
[in]	p	Preconditioner identification parameter. To be chosen in the enumeration variable Preconditioner: IDENT_PREC, DIAG_PREC, SSOR_PREC, DILU_PREC, ILU_PREC [Default: DIAG_PREC]

Note

The argument p has no effect if the solver is DIRECT_SOLVER

solve() [3/3]

int solve

(

)

Solve equations all arguments must have been given by other member functions.

Solver and preconditioner parameters must have been set by function setSolver. Otherwise, default values are set.