Playa::PreconditionerBase< Scalar > Class Template Reference

Inheritance diagram for Playa::PreconditionerBase< Scalar >:

List of all members.

Public Member Functions
	PreconditionerBase ()
virtual	~PreconditionerBase ()
virtual LinearOperator< Scalar >	left () const =0
virtual LinearOperator< Scalar >	right () const =0
virtual bool	hasLeft () const =0
virtual bool	hasRight () const =0

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Detailed Description

template<class Scalar>
class Playa::PreconditionerBase< Scalar >

Base class for preconditioners. A general preconditioner object is split into a left preconditioner M1^-1 and a right preconditioner M2^-1. To solve A x = b, we define the auxiliary system M2^-1 y = x, and solve M1^-1 A M2^-1 y = M1^-1 b to obtain y. Having y, we can quickly recover x by applying M2^-1 to y.

The base class implements neither a left nor a right preconditioner.

Definition at line 65 of file PlayaPreconditionerBase.hpp.

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Constructor & Destructor Documentation

template<class Scalar >

Playa::PreconditionerBase< Scalar >::PreconditionerBase

(

)

[inline]

empty ctor

Definition at line 69 of file PlayaPreconditionerBase.hpp.

template<class Scalar >

virtual Playa::PreconditionerBase< Scalar >::~PreconditionerBase

(

)

[inline, virtual]

virtual dtor

Definition at line 72 of file PlayaPreconditionerBase.hpp.

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Member Function Documentation

template<class Scalar >

virtual bool Playa::PreconditionerBase< Scalar >::hasLeft

(

)

const [pure virtual]

return true if this preconditioner has a nontrivial left component

Implemented in Playa::GenericRightPreconditioner< Scalar >, Playa::GenericLeftPreconditioner< Scalar >, Playa::GenericLeftPreconditioner< Scalar >, and Playa::GenericTwoSidedPreconditioner< Scalar >.

template<class Scalar >

virtual bool Playa::PreconditionerBase< Scalar >::hasRight

(

)

const [pure virtual]

return true if this preconditioner has a nontrivial right component

Implemented in Playa::GenericLeftPreconditioner< Scalar >, Playa::GenericLeftPreconditioner< Scalar >, Playa::GenericRightPreconditioner< Scalar >, and Playa::GenericTwoSidedPreconditioner< Scalar >.

template<class Scalar >

virtual LinearOperator<Scalar> Playa::PreconditionerBase< Scalar >::left

(

)

const [pure virtual]

Implemented in Playa::GenericRightPreconditioner< Scalar >, Playa::GenericLeftPreconditioner< Scalar >, Playa::GenericTwoSidedPreconditioner< Scalar >, and Playa::GenericLeftPreconditioner< Scalar >.

template<class Scalar >

virtual LinearOperator<Scalar> Playa::PreconditionerBase< Scalar >::right

(

)

const [pure virtual]

Implemented in Playa::GenericLeftPreconditioner< Scalar >, Playa::GenericLeftPreconditioner< Scalar >, Playa::GenericTwoSidedPreconditioner< Scalar >, and Playa::GenericRightPreconditioner< Scalar >.