SolverFGMRES< VECTOR > Class Template Reference
[Linear solver classes]

Inheritance diagram for SolverFGMRES< VECTOR >:

[legend]

List of all members.

Classes
struct	AdditionalData
Public Member Functions
	SolverFGMRES (SolverControl &cn, VectorMemory< VECTOR > &mem, const AdditionalData &data=AdditionalData())
	SolverFGMRES (SolverControl &cn, const AdditionalData &data=AdditionalData())
template<class MATRIX , class PRECONDITIONER >
void	solve (const MATRIX &A, VECTOR &x, const VECTOR &b, const PRECONDITIONER &precondition)
Private Attributes
AdditionalData	additional_data
FullMatrix< double >	H
FullMatrix< double >	H1

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Detailed Description

template<class VECTOR = Vector<double>>
class SolverFGMRES< VECTOR >

Implementation of the Generalized minimal residual method with flexible preconditioning method.

This version of the GMRES method allows for the use of a different preconditioner in each iteration step. Therefore, it is also more robust with respect to inaccurate evaluation of the preconditioner. An important application is also the use of a Krylov space method inside the preconditioner.

FGMRES needs two vectors in each iteration steps yielding a total of 2*AdditionalDatamax_basis_size+1 auxiliary vectors.

Caveat: documentation of this class is not up to date. There are also a few parameters of GMRES we would like to introduce here.

Author:

Guido Kanschat, 2003

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Constructor & Destructor Documentation

template<class VECTOR = Vector<double>>

SolverFGMRES< VECTOR >::SolverFGMRES	(	SolverControl &	cn,
		VectorMemory< VECTOR > &	mem,
		const AdditionalData &	data = AdditionalData()
	)

Constructor.

template<class VECTOR = Vector<double>>

SolverFGMRES< VECTOR >::SolverFGMRES	(	SolverControl &	cn,
		const AdditionalData &	data = AdditionalData()
	)

Constructor. Use an object of type GrowingVectorMemory as a default to allocate memory.

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Member Function Documentation

template<class VECTOR = Vector<double>>

template<class MATRIX , class PRECONDITIONER >

void SolverFGMRES< VECTOR >::solve	(	const MATRIX &	A,
		VECTOR &	x,
		const VECTOR &	b,
		const PRECONDITIONER &	precondition
	)			[inline]

Solve the linear system for x.

Referenced by SolverSelector< VECTOR >::solve().

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Member Data Documentation

template<class VECTOR = Vector<double>>

AdditionalData SolverFGMRES< VECTOR >::additional_data [private]

Additional flags.

template<class VECTOR = Vector<double>>

FullMatrix<double> SolverFGMRES< VECTOR >::H [private]

Projected system matrix

template<class VECTOR = Vector<double>>

FullMatrix<double> SolverFGMRES< VECTOR >::H1 [private]

Auxiliary matrix for inverting H

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The documentation for this class was generated from the following file:

• lac/include/lac/solver_gmres.h