Dune::MINRESSolver< X > Class Template Reference

Minimal Residual Method (MINRES) More...

#include <dune/istl/solvers.hh>

Public Types
typedef X	domain_type
	The domain type of the operator to be inverted.
typedef X	range_type
	The range type of the operator to be inverted.
typedef X::field_type	field_type
	The field type of the operator to be inverted.
typedef FieldTraits< field_type >::real_type	real_type
	The real type of the field type (is the same if using real numbers, but differs for std::complex)

Public Member Functions
template<class L , class P >
	MINRESSolver (L &op, P &prec, real_type reduction, int maxit, int verbose)
	Set up MINRES solver. More...
template<class L , class S , class P >
	MINRESSolver (L &op, S &sp, P &prec, real_type reduction, int maxit, int verbose)
	Set up MINRES solver. More...
virtual void	apply (X &x, X &b, InverseOperatorResult &res)
	Apply inverse operator. More...
virtual void	apply (X &x, X &b, double reduction, InverseOperatorResult &res)
	Apply inverse operator with given reduction factor. More...

Protected Member Functions
void	printHeader (std::ostream &s) const
	helper function for printing header of solver output
void	printOutput (std::ostream &s, const CountType &iter, const DataType &norm, const DataType &norm_old) const
	helper function for printing solver output
void	printOutput (std::ostream &s, const CountType &iter, const DataType &norm) const
	helper function for printing solver output

Detailed Description

template<class X>
class Dune::MINRESSolver< X >

Minimal Residual Method (MINRES)

Symmetrically Preconditioned MINRES as in A. Greenbaum, 'Iterative Methods for Solving Linear Systems', pp. 121 Iterative solver for symmetric indefinite operators. Note that in order to ensure the (symmetrically) preconditioned system to remain symmetric, the preconditioner has to be spd.

Constructor & Destructor Documentation

MINRESSolver() [1/2]

template<class X >

template<class L , class P >

Dune::MINRESSolver< X >::MINRESSolver ( L &  op, P &  prec, real_type  reduction, int  maxit, int  verbose  )

inline

Set up MINRES solver.

References Dune::SolverCategory::sequential.

MINRESSolver() [2/2]

template<class X >

template<class L , class S , class P >

Dune::MINRESSolver< X >::MINRESSolver ( L &  op, S &  sp, P &  prec, real_type  reduction, int  maxit, int  verbose  )

inline

Set up MINRES solver.

Member Function Documentation

apply() [1/2]

template<class X >

virtual void Dune::MINRESSolver< X >::apply ( X &  x, X &  b, double  reduction, InverseOperatorResult &  res  )

inlinevirtual

Apply inverse operator with given reduction factor.

apply inverse operator, with given convergence criteria.

Warning

Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort

When the solver detects a problem and cannot continue

Implements Dune::InverseOperator< X, X >.

apply() [2/2]

template<class X >

virtual void Dune::MINRESSolver< X >::apply ( X &  x, X &  b, InverseOperatorResult &  res  )

inlinevirtual

Apply inverse operator.

Apply inverse operator,.

Warning

Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort

When the solver detects a problem and cannot continue

Implements Dune::InverseOperator< X, X >.

References Dune::LinearOperator< X, Y >::apply(), Dune::Preconditioner< X, Y >::apply(), Dune::LinearOperator< X, Y >::applyscaleadd(), Dune::InverseOperatorResult::clear(), Dune::InverseOperatorResult::conv_rate, Dune::InverseOperatorResult::converged, Dune::Timer::elapsed(), Dune::InverseOperatorResult::elapsed, Dune::InverseOperatorResult::iterations, Dune::Preconditioner< X, Y >::post(), Dune::Preconditioner< X, Y >::pre(), Dune::InverseOperator< X, X >::printHeader(), Dune::InverseOperator< X, X >::printOutput(), Dune::InverseOperatorResult::reduction, and Dune::Timer::reset().

---

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

• dune/istl/solvers.hh