dune-istl 2.8.0
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Minimal Residual Method (MINRES) More...
#include <dune/istl/solvers.hh>
Public Types | |
typedef X | domain_type |
Type of the domain of the operator to be inverted. More... | |
typedef X | range_type |
Type of the range of the operator to be inverted. More... | |
typedef X::field_type | field_type |
The field type of the operator. More... | |
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) More... | |
typedef Simd::Scalar< real_type > | scalar_real_type |
scalar type underlying the field_type More... | |
Public Member Functions | |
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... | |
virtual SolverCategory::Category | category () const |
Category of the solver (see SolverCategory::Category) More... | |
std::string | name () const |
Protected Types | |
using | Iteration = typename IterativeSolver< X, X >::template Iteration< unsigned int > |
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 CountType &iter, const DataType &norm, const DataType &norm_old) const |
helper function for printing solver output More... | |
void | printOutput (std::ostream &s, const CountType &iter, const DataType &norm) const |
helper function for printing solver output More... | |
Protected Attributes | |
std::shared_ptr< LinearOperator< X, X > > | _op |
std::shared_ptr< Preconditioner< X, X > > | _prec |
std::shared_ptr< ScalarProduct< X > > | _sp |
scalar_real_type | _reduction |
int | _maxit |
int | _verbose |
SolverCategory::Category | _category |
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.
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inherited |
Type of the domain of the operator to be inverted.
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inherited |
The field type of the operator.
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protected |
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inherited |
Type of the range of the operator to be inverted.
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inherited |
The real type of the field type (is the same if using real numbers, but differs for std::complex)
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inherited |
scalar type underlying the field_type
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protectedinherited |
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inlinevirtualinherited |
Apply inverse operator with given reduction factor.
apply inverse operator, with given convergence criteria.
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. |
SolverAbort | When the solver detects a problem and cannot continue |
Implements Dune::InverseOperator< X, X >.
Reimplemented in Dune::RestartedGMResSolver< X, X >.
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inlinevirtual |
Apply inverse operator.
Apply inverse operator,.
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. |
SolverAbort | When the solver detects a problem and cannot continue |
Implements Dune::InverseOperator< X, X >.
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inlinevirtualinherited |
Category of the solver (see SolverCategory::Category)
Implements Dune::InverseOperator< X, X >.
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inlineinherited |
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inlineprotectedinherited |
helper function for printing header of solver output
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inlineprotectedinherited |
helper function for printing solver output
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inlineprotectedinherited |
helper function for printing solver output
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protectedinherited |
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protectedinherited |
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protectedinherited |
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protectedinherited |
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protectedinherited |
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protectedinherited |
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protectedinherited |