Ifpack_ICT: A class for constructing and using an incomplete Cholesky factorization of a given Epetra_RowMatrix. More...
#include <Ifpack_ICT.h>
Public Member Functions | |
Ifpack_ICT (const Epetra_RowMatrix *A) | |
Ifpack_ICT constuctor with variable number of indices per row. More... | |
virtual | ~Ifpack_ICT () |
Ifpack_ICT Destructor. | |
int | SetParameters (Teuchos::ParameterList ¶meterlis) |
Set parameters using a Teuchos::ParameterList object. | |
const Epetra_RowMatrix & | Matrix () const |
Returns a reference to the matrix to be preconditioned. | |
bool | IsInitialized () const |
Returns true is the preconditioner has been successfully initialized. | |
int | Initialize () |
Initialize L and U with values from user matrix A. More... | |
int | Compute () |
Compute IC factor U using the specified graph, diagonal perturbation thresholds and relaxation parameters. More... | |
bool | IsComputed () const |
If factor is completed, this query returns true, otherwise it returns false. | |
int | ApplyInverse (const Epetra_MultiVector &X, Epetra_MultiVector &Y) const |
Returns the result of a Ifpack_ICT forward/back solve on a Epetra_MultiVector X in Y. More... | |
int | Apply (const Epetra_MultiVector &X, Epetra_MultiVector &Y) const |
double | Condest (const Ifpack_CondestType CT=Ifpack_Cheap, const int MaxIters=1550, const double Tol=1e-9, Epetra_RowMatrix *Matrix_in=0) |
Returns the maximum over all the condition number estimate for each local ILU set of factors. More... | |
double | Condest () const |
Returns the computed condition number estimate, or -1.0 if not computed. | |
int | NumGlobalNonzeros () const |
Returns the number of nonzero entries in the global graph. | |
long long | NumGlobalNonzeros64 () const |
int | NumMyNonzeros () const |
Returns the number of nonzero entries in the local graph. | |
const Epetra_CrsMatrix & | H () const |
Returns the address of the D factor associated with this factored matrix. | |
const char * | Label () const |
int | SetLabel (const char *Label_in) |
virtual std::ostream & | Print (std::ostream &os) const |
Prints basic information on iostream. This function is used by operator<<. | |
virtual int | NumInitialize () const |
Returns the number of calls to Initialize(). | |
virtual int | NumCompute () const |
Returns the number of calls to Compute(). | |
virtual int | NumApplyInverse () const |
Returns the number of calls to ApplyInverse(). | |
virtual double | InitializeTime () const |
Returns the time spent in Initialize(). | |
virtual double | ComputeTime () const |
Returns the time spent in Compute(). | |
virtual double | ApplyInverseTime () const |
Returns the time spent in ApplyInverse(). | |
virtual double | InitializeFlops () const |
Returns the number of flops in the initialization phase. | |
virtual double | ComputeFlops () const |
Returns the number of flops in all applications of Compute(). | |
virtual double | ApplyInverseFlops () const |
Returns the number of flops in all applications of ApplyInverse(). | |
double | LevelOfFill () const |
Returns the level-of-fill. More... | |
double | AbsoluteThreshold () const |
Returns the absolute threshold. | |
double | RelativeThreshold () const |
Returns the relative threshold. | |
double | RelaxValue () const |
Returns the relaxation value. | |
double | DropTolerance () const |
Returns the drop threshold. | |
int | SetUseTranspose (bool UseTranspose_in) |
If set true, transpose of this operator will be applied. More... | |
double | NormInf () const |
Returns 0.0 because this class cannot compute Inf-norm. | |
bool | HasNormInf () const |
Returns false because this class cannot compute an Inf-norm. | |
bool | UseTranspose () const |
Returns the current UseTranspose setting. | |
const Epetra_Map & | OperatorDomainMap () const |
Returns the Epetra_Map object associated with the domain of this operator. | |
const Epetra_Map & | OperatorRangeMap () const |
Returns the Epetra_Map object associated with the range of this operator. | |
const Epetra_Comm & | Comm () const |
Returns the Epetra_BlockMap object associated with the range of this matrix operator. | |
Ifpack_ICT: A class for constructing and using an incomplete Cholesky factorization of a given Epetra_RowMatrix.
The Ifpack_ICT class computes a threshold based incomplete
LDL^T factorization of a given Epetra_RowMatrix. The factorization that is produced is a function of several parameters:
Maximum number of entries per row/column in factor - The factorization will contain at most this number of nonzero terms in each row/column of the factorization.
Definition at line 83 of file Ifpack_ICT.h.
Ifpack_ICT::Ifpack_ICT | ( | const Epetra_RowMatrix * | A | ) |
Ifpack_ICT constuctor with variable number of indices per row.
Creates a Ifpack_ICT object and allocates storage.
In | A - User matrix to be factored. |
In | Graph - Graph generated by Ifpack_IlukGraph. |
Definition at line 63 of file Ifpack_ICT.cpp.
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virtual |
Returns the result of a Ifpack_ICT forward/back solve on a Epetra_MultiVector X in Y.
In | Trans -If true, solve transpose problem. |
In | X - A Epetra_MultiVector of dimension NumVectors to solve for. |
Out | Y -A Epetra_MultiVector of dimension NumVectorscontaining result. |
Implements Ifpack_Preconditioner.
Definition at line 455 of file Ifpack_ICT.cpp.
References Epetra_Time::ElapsedTime(), IsComputed(), and Epetra_Time::ResetStartTime().
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virtual |
Compute IC factor U using the specified graph, diagonal perturbation thresholds and relaxation parameters.
This function computes the RILU(k) factors L and U using the current:
InitValues() must be called before the factorization can proceed.
Implements Ifpack_Preconditioner.
Definition at line 438 of file Ifpack_ICT.cpp.
References Epetra_BlockMap::GlobalIndicesInt(), Epetra_BlockMap::GlobalIndicesLongLong(), and Epetra_RowMatrix::RowMatrixRowMap().
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virtual |
Returns the maximum over all the condition number estimate for each local ILU set of factors.
This functions computes a local condition number estimate on each processor and return the maximum over all processor of the estimate.
In | Trans -If true, solve transpose problem. |
Out | ConditionNumberEstimate - The maximum across all processors of the infinity-norm estimate of the condition number of the inverse of LDU. |
Implements Ifpack_Preconditioner.
Definition at line 502 of file Ifpack_ICT.cpp.
References IsComputed().
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virtual |
Initialize L and U with values from user matrix A.
Copies values from the user's matrix into the nonzero pattern of L and U.
In | A - User matrix to be factored. |
Implements Ifpack_Preconditioner.
Definition at line 138 of file Ifpack_ICT.cpp.
References Comm(), Epetra_Time::ElapsedTime(), Matrix(), Epetra_RowMatrix::NumMyRows(), and Epetra_Time::ResetStartTime().
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inline |
Returns the level-of-fill.
Definition at line 299 of file Ifpack_ICT.h.
Referenced by Print(), and SetParameters().
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inlinevirtual |
If set true, transpose of this operator will be applied.
This flag allows the transpose of the given operator to be used implicitly. Setting this flag affects only the Apply() and ApplyInverse() methods. If the implementation of this interface does not support transpose use, this method should return a value of -1.
In | UseTranspose_in -If true, multiply by the transpose of operator, otherwise just use operator. |
Implements Epetra_Operator.
Definition at line 206 of file Ifpack_ICT.h.