dune-istl
2.2.1
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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. More... | |
typedef X | range_type |
The range type of the operator to be inverted. More... | |
typedef X::field_type | field_type |
The field type of the operator to be inverted. More... | |
typedef FieldTraits < field_type >::real_type | real_type |
The real type of the field type (is the same of using real numbers, but differs for std::complex) More... | |
Public Member Functions | |
template<class L , class P > | |
MINRESSolver (L &op, P &prec, double reduction, int maxit, int verbose) | |
Set up MINRES solver. More... | |
template<class L , class S , class P > | |
MINRESSolver (L &op, S &sp, P &prec, double 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 Types | |
enum | |
Protected Member Functions | |
void | printHeader (std::ostream &s) const |
helper function for printing header of solver output More... | |
void | printOutput (std::ostream &s, const double iter, const DataType &norm, const DataType &norm_old) const |
helper function for printing solver output More... | |
void | printOutput (std::ostream &s, const double iter, const DataType &norm) const |
helper function for printing solver output More... | |
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.
typedef X Dune::MINRESSolver< X >::domain_type |
The domain type of the operator to be inverted.
typedef X::field_type Dune::MINRESSolver< X >::field_type |
The field type of the operator to be inverted.
typedef X Dune::MINRESSolver< X >::range_type |
The range type of the operator to be inverted.
typedef FieldTraits<field_type>::real_type Dune::MINRESSolver< X >::real_type |
The real type of the field type (is the same of using real numbers, but differs for std::complex)
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protectedinherited |
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inline |
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inline |
Set up MINRES solver.
Set up loop solver.
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inlinevirtual |
Apply inverse operator.
Apply inverse operator,.
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::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(), and Dune::InverseOperatorResult::reduction.
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inlinevirtual |
Apply inverse operator with given reduction factor.
apply inverse operator, with given convergence criteria.
Implements Dune::InverseOperator< X, X >.
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inlineprotectedinherited |
helper function for printing header of solver output
References Dune::InverseOperator< X, Y >::iterationSpacing, and Dune::InverseOperator< X, Y >::normSpacing.
Referenced by Dune::LoopSolver< X >::apply(), Dune::GradientSolver< X >::apply(), Dune::CGSolver< X >::apply(), Dune::BiCGSTABSolver< X >::apply(), and Dune::MINRESSolver< X >::apply().
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inlineprotectedinherited |
helper function for printing solver output
References Dune::InverseOperator< X, Y >::iterationSpacing, and Dune::InverseOperator< X, Y >::normSpacing.
Referenced by Dune::LoopSolver< X >::apply(), Dune::GradientSolver< X >::apply(), Dune::CGSolver< X >::apply(), Dune::BiCGSTABSolver< X >::apply(), and Dune::MINRESSolver< X >::apply().
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inlineprotectedinherited |
helper function for printing solver output
References Dune::InverseOperator< X, Y >::iterationSpacing, and Dune::InverseOperator< X, Y >::normSpacing.