Belos
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Convergence test using the implicit residual norm(s), with an explicit residual norm(s) check for loss of accuracy if necessary. More...
#include <BelosStatusTestImpResNorm.hpp>
Public Types | |
typedef Teuchos::ScalarTraits < ScalarType >::magnitudeType | MagnitudeType |
The type of the magnitude (absolute value) of a ScalarType. More... | |
Public Types inherited from Belos::StatusTestResNorm< ScalarType, MV, OP > | |
typedef Teuchos::ScalarTraits < ScalarType > | SCT |
typedef SCT::magnitudeType | MagnitudeType |
typedef MultiVecTraits < ScalarType, MV > | MVT |
Public Member Functions | |
Constructors and destructor. | |
StatusTestImpResNorm (MagnitudeType Tolerance, int quorum=-1, bool showMaxResNormOnly=false) | |
Constructor. More... | |
virtual | ~StatusTestImpResNorm () |
Destructor (virtual for memory safety). More... | |
Form and parameter definition methods. | |
int | defineResForm (NormType TypeOfNorm) |
Define form of the residual, its norm and optional weighting vector. More... | |
int | defineScaleForm (ScaleType TypeOfScaling, NormType TypeOfNorm, MagnitudeType ScaleValue=Teuchos::ScalarTraits< MagnitudeType >::one()) |
Define form of the scaling, its norm, its optional weighting vector, or, alternatively, define an explicit value. More... | |
int | setTolerance (MagnitudeType tolerance) |
Set the value of the tolerance. More... | |
int | setQuorum (int quorum) |
Sets the number of residuals that must pass the convergence test before Passed is returned. More... | |
int | setShowMaxResNormOnly (bool showMaxResNormOnly) |
Set whether the only maximum residual norm is displayed when the print() method is called. More... | |
Status methods | |
StatusType | checkStatus (Iteration< ScalarType, MV, OP > *iSolver) |
Check convergence status: Passed, Failed, or Undefined. More... | |
StatusType | getStatus () const |
Return the result of the most recent CheckStatus call. More... | |
Reset methods | |
void | reset () |
Resets the internal configuration to the initial state. More... | |
Print methods | |
void | print (std::ostream &os, int indent=0) const |
Output formatted description of stopping test to output stream. More... | |
void | printStatus (std::ostream &os, StatusType type) const |
Print message for each status specific to this stopping test. More... | |
Methods to access data members. | |
Teuchos::RCP< MV > | getSolution () |
Returns the current solution estimate that was computed for the most recent residual test. More... | |
int | getQuorum () const |
Returns the number of residuals that must pass the convergence test before Passed is returned. More... | |
bool | getShowMaxResNormOnly () |
Returns whether the only maximum residual norm is displayed when the print() method is called. More... | |
std::vector< int > | convIndices () |
Returns the vector containing the indices of the residuals that passed the test. More... | |
MagnitudeType | getTolerance () const |
"Original" convergence tolerance as set by user. More... | |
MagnitudeType | getCurrTolerance () const |
Current convergence tolerance; may be changed to prevent loss of accuracy. More... | |
const std::vector < MagnitudeType > * | getTestValue () const |
Returns the test value, , computed in most recent call to CheckStatus. More... | |
const std::vector < MagnitudeType > * | getResNormValue () const |
Returns the residual norm value, , computed in most recent call to CheckStatus. More... | |
const std::vector < MagnitudeType > * | getScaledNormValue () const |
Returns the scaled norm value, . More... | |
bool | getLOADetected () const |
Returns a boolean indicating a loss of accuracy has been detected in computing the residual. More... | |
Misc. | |
StatusType | firstCallCheckStatusSetup (Iteration< ScalarType, MV, OP > *iSolver) |
Call to setup initial scaling vector. More... | |
Overridden from Teuchos::Describable | |
std::string | description () const |
Method to return description of the maximum iteration status test. More... | |
Public Member Functions inherited from Belos::StatusTestResNorm< ScalarType, MV, OP > | |
virtual int | setTolerance (MagnitudeType tolerance)=0 |
Set the value of the tolerance. More... | |
virtual int | defineScaleForm (ScaleType TypeOfScaling, NormType TypeOfNorm, MagnitudeType ScaleValue=Teuchos::ScalarTraits< MagnitudeType >::one())=0 |
Define the form of the scaling for the residual. More... | |
Public Member Functions inherited from Belos::StatusTest< ScalarType, MV, OP > | |
StatusTest () | |
Constructor. More... | |
virtual | ~StatusTest () |
Destructor. More... | |
Public Member Functions inherited from Teuchos::Describable | |
virtual void | describe (FancyOStream &out, const EVerbosityLevel verbLevel=verbLevel_default) const |
void | describe (std::ostream &out, const EVerbosityLevel verbLevel=verbLevel_default) const |
virtual | ~Describable () |
LabeledObject () | |
virtual | ~LabeledObject () |
virtual void | setObjectLabel (const std::string &objectLabel) |
virtual std::string | getObjectLabel () const |
DescribableStreamManipulatorState | describe (const Describable &describable, const EVerbosityLevel verbLevel=Describable::verbLevel_default) |
std::ostream & | operator<< (std::ostream &os, const DescribableStreamManipulatorState &d) |
Additional Inherited Members | |
Static Public Attributes inherited from Teuchos::Describable | |
static const EVerbosityLevel | verbLevel_default |
Convergence test using the implicit residual norm(s), with an explicit residual norm(s) check for loss of accuracy if necessary.
This test passes when a quorum of residual vectors (for all right-hand sides) passes a residual norm test. For residual vector , the form of the test is , where is the convergence tolerance set in the constructor or by setTolerance(). The default quorum consists of all the vectors, but you can set the number of vectors that must pass before the whole test passes, either by the constructor argument or by calling setQuorum().
The default residual vector norm (the norm used in the numerator of the test, and applied to the current residual vectors) is the 2-norm, but you can change the norm type (1-norm, 2-norm, or infinity norm) using defineResForm(). The default scaling factor for residual vector i is the 2-norm of the initial residual vector, but you can change this using defineScaleForm(). The norm used for the scaling factors may be different than the norm used for the current residual vectors. Furthermore, each residual vector may use a different scaling factor .
This test starts by using the "implicit" residual norm, otherwise called the "recursive" or "native" residual norm. It comes from the iterative method's projected problem, unlike the "explicit" residual norm, which comes from explicitly computing . Once the implicit residual norm reaches the convergence tolerance, this test then checks the explicit residual norm to make sure that it has reached the convergence tolerance as well.
We say that there is a "potential loss of accuracy" when we first detect that the implicit residual norm(s) have met the desired original convergence tolerance, but the explicit residual norm(s) have not. We don't actually call this a "loss of accuracy" (in the sense of getLOADetected() returning true) unless we tried to remedy this situation, but couldn't fix it. Upon detecting a potential loss of accuracy, this test tells the solver to "iterate a few more steps" by making the "current" residual tolerance (the value of getCurrTolerance()) smaller, and forcing the implicit residual norm(s) to meet the current tolerance before moving on to test the explicit norm(s). If that doesn't work, this test declares a loss of accuracy.
Definition at line 104 of file BelosStatusTestImpResNorm.hpp.
typedef Teuchos::ScalarTraits<ScalarType>::magnitudeType Belos::StatusTestImpResNorm< ScalarType, MV, OP >::MagnitudeType |
The type of the magnitude (absolute value) of a ScalarType.
Definition at line 107 of file BelosStatusTestImpResNorm.hpp.
Belos::StatusTestImpResNorm< ScalarType, MV, OP >::StatusTestImpResNorm | ( | MagnitudeType | Tolerance, |
int | quorum = -1 , |
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bool | showMaxResNormOnly = false |
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Constructor.
Tolerance | [in] Convergence tolerance . |
quorum | [in] The number of vectors in the problem that must pass the convergence criteria before this StatusTest passes. -1 means that all residuals must pass. |
showMaxResNormOnly | [in] Whether only the maximum residual norm (of all vectors) is displayed when the print() method is called. |
Definition at line 421 of file BelosStatusTestImpResNorm.hpp.
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Destructor (virtual for memory safety).
Definition at line 445 of file BelosStatusTestImpResNorm.hpp.
int Belos::StatusTestImpResNorm< ScalarType, MV, OP >::defineResForm | ( | NormType | TypeOfNorm | ) |
Define form of the residual, its norm and optional weighting vector.
This method defines the form of . We specify:
Definition at line 464 of file BelosStatusTestImpResNorm.hpp.
int Belos::StatusTestImpResNorm< ScalarType, MV, OP >::defineScaleForm | ( | ScaleType | TypeOfScaling, |
NormType | TypeOfNorm, | ||
MagnitudeType | ScaleValue = Teuchos::ScalarTraits<MagnitudeType>::one() |
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Define form of the scaling, its norm, its optional weighting vector, or, alternatively, define an explicit value.
This method defines the form of how the residual is scaled (if at all). It operates in two modes:
User-provided scaling value:
Definition at line 476 of file BelosStatusTestImpResNorm.hpp.
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Set the value of the tolerance.
We allow the tolerance to be reset for cases where, in the process of testing the residual, we find that the initial tolerance was too tight or too lax.
Definition at line 179 of file BelosStatusTestImpResNorm.hpp.
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Sets the number of residuals that must pass the convergence test before Passed is returned.
quorum=-1
then all residuals must pass the convergence test before Passed is returned. Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 186 of file BelosStatusTestImpResNorm.hpp.
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Set whether the only maximum residual norm is displayed when the print() method is called.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 192 of file BelosStatusTestImpResNorm.hpp.
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Check convergence status: Passed, Failed, or Undefined.
This method checks to see if the convergence criteria are met. Depending on how the residual test is constructed this method will return the appropriate status type.
Implements Belos::StatusTest< ScalarType, MV, OP >.
Definition at line 492 of file BelosStatusTestImpResNorm.hpp.
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Return the result of the most recent CheckStatus call.
Implements Belos::StatusTest< ScalarType, MV, OP >.
Definition at line 211 of file BelosStatusTestImpResNorm.hpp.
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Resets the internal configuration to the initial state.
Implements Belos::StatusTest< ScalarType, MV, OP >.
Definition at line 449 of file BelosStatusTestImpResNorm.hpp.
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Output formatted description of stopping test to output stream.
Implements Belos::StatusTest< ScalarType, MV, OP >.
Definition at line 752 of file BelosStatusTestImpResNorm.hpp.
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Print message for each status specific to this stopping test.
Reimplemented from Belos::StatusTest< ScalarType, MV, OP >.
Definition at line 784 of file BelosStatusTestImpResNorm.hpp.
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Returns the current solution estimate that was computed for the most recent residual test.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 236 of file BelosStatusTestImpResNorm.hpp.
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Returns the number of residuals that must pass the convergence test before Passed is returned.
quorum=-1
then all residuals must pass the convergence test before Passed is returned. Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 240 of file BelosStatusTestImpResNorm.hpp.
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Returns whether the only maximum residual norm is displayed when the print() method is called.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 243 of file BelosStatusTestImpResNorm.hpp.
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Returns the vector containing the indices of the residuals that passed the test.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 246 of file BelosStatusTestImpResNorm.hpp.
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"Original" convergence tolerance as set by user.
This value is the convergence tolerance as set by the user in the constructor, or by the setTolerance() method. See this class' main documentation and the documentation of getCurrTolerance() for an explanation of the difference between the "original" and "current" tolerances.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 255 of file BelosStatusTestImpResNorm.hpp.
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Current convergence tolerance; may be changed to prevent loss of accuracy.
The difference between "original" tolerance (the value of getTolerance()) and "current" tolerance (the value of this method) relates to the idea of "loss of accuracy." See this class' main documentation for details. We do not allow users to set the "current" tolerance.
Definition at line 266 of file BelosStatusTestImpResNorm.hpp.
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Returns the test value, , computed in most recent call to CheckStatus.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 271 of file BelosStatusTestImpResNorm.hpp.
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Returns the residual norm value, , computed in most recent call to CheckStatus.
Definition at line 274 of file BelosStatusTestImpResNorm.hpp.
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Returns the scaled norm value, .
Definition at line 277 of file BelosStatusTestImpResNorm.hpp.
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Returns a boolean indicating a loss of accuracy has been detected in computing the residual.
Implements Belos::StatusTestResNorm< ScalarType, MV, OP >.
Definition at line 280 of file BelosStatusTestImpResNorm.hpp.
StatusType Belos::StatusTestImpResNorm< ScalarType, MV, OP >::firstCallCheckStatusSetup | ( | Iteration< ScalarType, MV, OP > * | iSolver | ) |
Call to setup initial scaling vector.
After this function is called getScaledNormValue()
can be called to get the scaling vector.
Definition at line 808 of file BelosStatusTestImpResNorm.hpp.
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inlinevirtual |
Method to return description of the maximum iteration status test.
Reimplemented from Teuchos::Describable.
Definition at line 299 of file BelosStatusTestImpResNorm.hpp.