Amesos_Lapack Class Reference

Amesos_Lapack: an interface to LAPACK. More...

#include <Amesos_Lapack.h>

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List of all members.

Public Member Functions

 Amesos_Lapack (const Epetra_LinearProblem &LinearProblem)
 Amesos_Lapack Constructor.
 ~Amesos_Lapack (void)
 Amesos_Lapack Destructor.
int SymbolicFactorization ()
 Performs SymbolicFactorization on the matrix A.
int NumericFactorization ()
 Performs NumericFactorization on the matrix A.
int Solve ()
 Solves A X = B (or AT x = B).
const Epetra_LinearProblem * GetProblem () const
 Returns the Epetra_LinearProblem.
bool MatrixShapeOK () const
 Returns true if the solver can handle this matrix shape.
int SetUseTranspose (bool UseTranspose_in)
 If set true, X will be set to the solution of AT X = B (not A X = B).
bool UseTranspose () const
 Returns the current UseTranspose setting.
const Epetra_Comm & Comm () const
 Returns a pointer to the Epetra_Comm communicator associated with this operator.
void setParameterList (Teuchos::RCP< Teuchos::ParameterList > const &paramList)
 Use this parameter list to read values from.
Teuchos::RCP
< Teuchos::ParameterList > 
unsetParameterList ()
 This is an empty stub.
int SetParameters (Teuchos::ParameterList &ParameterList)
 Deprecated - Sets parameters.
int GEEV (Epetra_Vector &Er, Epetra_Vector &Ei)
 Computes the eigenvalues of the linear system matrix using DGEEV.
int NumSymbolicFact () const
 Returns the number of symbolic factorizations performed by this object.
int NumNumericFact () const
 Returns the number of numeric factorizations performed by this object.
int NumSolve () const
 Returns the number of solves performed by this object.
void PrintTiming () const
 Print timing information.
void PrintStatus () const
 Print information about the factorization and solution phases.
void GetTiming (Teuchos::ParameterList &TimingParameterList) const
 Extracts timing information from the current solver and places it in the parameter list.

Protected Member Functions

const Epetra_RowMatrix * Matrix () const
 Returns a pointer to the linear system matrix.
int NumGlobalRows () const
 Returns the number of global rows, or -1 if Matrix() returns 0.
int NumMyRows () const
 Returns the number of local rows, or -1 if Matrix() returns 0.
const Epetra_Map & SerialMap ()
 Returns a reference to serial map (that with all elements on process 0). Builds SerialMap_ if necessary or required.
Epetra_RowMatrix & SerialMatrix ()
 Returns a reference to serial matrix (that with all rows on process 0). Builds SerialMap_ if necessary or required.
Epetra_CrsMatrix & SerialCrsMatrix ()
const Epetra_Import & Importer ()
 Returns a reference to the importer map. Builds SerialMap_ if necessary or required.
int SolveSerial (Epetra_MultiVector &X, const Epetra_MultiVector &B)
 Solves the linear system, when only one process is used.
int SolveDistributed (Epetra_MultiVector &X, const Epetra_MultiVector &B)
 Solves the linear system, when more than one process is used.
int DistributedToSerial ()
 Converts a distributed matrix to serial matrix.
int SerialToDense ()
 Converts a serial matrix to dense format.
int DenseToFactored ()
 Factors the matrix using LAPACK.

Protected Attributes

Teuchos::RCP
< Teuchos::ParameterList > 
pl_
Teuchos::RCP< Epetra_RowMatrix > SerialMatrix_
Teuchos::RCP< Epetra_CrsMatrix > SerialCrsMatrix_
Teuchos::RCP< Epetra_Map > SerialMap_
Teuchos::RCP< Epetra_Import > Importer_
Epetra_SerialDenseMatrix DenseMatrix_
 Dense matrix.
Epetra_SerialDenseMatrix DenseLHS_
 Dense LHS.
Epetra_SerialDenseMatrix DenseRHS_
 Dense RHS.
Epetra_SerialDenseSolver DenseSolver_
 Linear problem for dense matrix and vectors.
bool UseTranspose_
 If true, the linear system with the transpose will be solved.
const Epetra_LinearProblem * Problem_
 Pointer to the linear problem.
int MtxRedistTime_
 Quick access ids for the individual timings.
int MtxConvTime_
int VecRedistTime_
int SymFactTime_
int NumFactTime_
int SolveTime_
int NumGlobalRows_
int NumGlobalNonzeros_
Teuchos::RCP
< Teuchos::ParameterList > 
ParameterList_


Detailed Description

Amesos_Lapack: an interface to LAPACK.

Class Amesos_Lapack enables the solution of the distributed linear system, defined by an Epetra_LinearProblem, using LAPACK.

Amesos_Lapack stores the lineaar system matrix as an Epetra_SerialDensMatrix. The linear problem is an Epetra_SerialDenseProblem. Amesos_Lapack factorizes the matrix using DGETRF().

Date:
Last updated on 16-Mar-05.
Author:
Marzio Sala, 9214.

Constructor & Destructor Documentation

Amesos_Lapack::Amesos_Lapack ( const Epetra_LinearProblem &  LinearProblem  ) 

Amesos_Lapack Constructor.

Creates an Amesos_Lapack instance, using an Epetra_LinearProblem, passing in an already-defined Epetra_LinearProblem object.

Note: The operator in LinearProblem must be an Epetra_RowMatrix.

Amesos_Lapack::~Amesos_Lapack ( void   ) 

Amesos_Lapack Destructor.

Completely deletes an Amesos_Lapack object.


Member Function Documentation

const Epetra_Comm& Amesos_Lapack::Comm (  )  const [inline, virtual]

Returns a pointer to the Epetra_Comm communicator associated with this operator.

Implements Amesos_BaseSolver.

int Amesos_Lapack::DenseToFactored (  )  [protected]

Factors the matrix using LAPACK.

int Amesos_Lapack::DistributedToSerial (  )  [protected]

Converts a distributed matrix to serial matrix.

int Amesos_Lapack::GEEV ( Epetra_Vector &  Er,
Epetra_Vector &  Ei 
)

Computes the eigenvalues of the linear system matrix using DGEEV.

Parameters:
Er - (Out) On processor zero only, it will contain the real component of the eigenvalues.
Ei - (Out) On processor zero only, it will contain the imaginary component of the eigenvalues.
Note:
Er and Ei must have been allocated so that the local length on processor 0 equals the global size of the matrix.

const Epetra_LinearProblem* Amesos_Lapack::GetProblem (  )  const [inline, virtual]

Returns the Epetra_LinearProblem.

Warning! Do not call return->SetOperator(...) to attempt to change the Epetra_Operator object (even if the new matrix has the same structure). This new operator matrix will be ignored!

Implements Amesos_BaseSolver.

void Amesos_Lapack::GetTiming ( Teuchos::ParameterList &  TimingParameterList  )  const [inline, virtual]

Extracts timing information from the current solver and places it in the parameter list.

Reimplemented from Amesos_BaseSolver.

const Epetra_Import& Amesos_Lapack::Importer (  )  [inline, protected]

Returns a reference to the importer map. Builds SerialMap_ if necessary or required.

const Epetra_RowMatrix* Amesos_Lapack::Matrix (  )  const [inline, protected]

Returns a pointer to the linear system matrix.

bool Amesos_Lapack::MatrixShapeOK (  )  const [virtual]

Returns true if the solver can handle this matrix shape.

Returns true if the matrix shape is one that the underlying sparse direct solver can handle. Classes that work only on square matrices should return false for rectangular matrices. Classes that work only on symmetric matrices whould return false for non-symmetric matrices.

Implements Amesos_BaseSolver.

int Amesos_Lapack::NumericFactorization (  )  [virtual]

Performs NumericFactorization on the matrix A.

In addition to performing numeric factorization on the matrix A, the call to NumericFactorization() implies that no change will be made to the underlying matrix without a subsequent call to NumericFactorization().

<br >Preconditions:

  • GetProblem().GetOperator() != 0 (return -1)
  • MatrixShapeOk(GetProblem().GetOperator()) == true (return -6)
  • The non-zero structure of the matrix should not have changed since the last call to SymbolicFactorization(). (return -2 if the number of non-zeros changes) Other changes can have arbitrary consequences.
  • The distribution of the matrix should not have changed since the last call to SymbolicFactorization()
  • The matrix should be indexed from 0 to n-1, unless the parameter "Reindex" was set to "true" prior to the call to SymbolicFactorization(). (return -3 - if caught)
  • The paremeter "Reindex" should not be set to "true" except on CrsMatrices. (return -4)
  • The paremeter "Reindex" should not be set to "true" unless Amesos was built with EpetraExt, i.e. with --enable-epetraext on the configure line. (return -4)
  • Internal errors retur -5.

<br >Postconditions:

  • Numeric Factorization will be performed (or marked to be performed) allowing Solve() to be performed correctly despite a potential change in in the matrix values (though not in the non-zero structure).

Returns:
Integer error code, set to 0 if successful.

Implements Amesos_BaseSolver.

int Amesos_Lapack::NumGlobalRows (  )  const [inline, protected]

Returns the number of global rows, or -1 if Matrix() returns 0.

int Amesos_Lapack::NumMyRows (  )  const [inline, protected]

Returns the number of local rows, or -1 if Matrix() returns 0.

int Amesos_Lapack::NumNumericFact (  )  const [inline, virtual]

Returns the number of numeric factorizations performed by this object.

Implements Amesos_BaseSolver.

int Amesos_Lapack::NumSolve (  )  const [inline, virtual]

Returns the number of solves performed by this object.

Implements Amesos_BaseSolver.

int Amesos_Lapack::NumSymbolicFact (  )  const [inline, virtual]

Returns the number of symbolic factorizations performed by this object.

Implements Amesos_BaseSolver.

void Amesos_Lapack::PrintStatus (  )  const [virtual]

Print information about the factorization and solution phases.

Implements Amesos_BaseSolver.

void Amesos_Lapack::PrintTiming (  )  const [virtual]

Print timing information.

Implements Amesos_BaseSolver.

Epetra_CrsMatrix& Amesos_Lapack::SerialCrsMatrix (  )  [inline, protected]

const Epetra_Map& Amesos_Lapack::SerialMap (  )  [inline, protected]

Returns a reference to serial map (that with all elements on process 0). Builds SerialMap_ if necessary or required.

Epetra_RowMatrix& Amesos_Lapack::SerialMatrix (  )  [inline, protected]

Returns a reference to serial matrix (that with all rows on process 0). Builds SerialMap_ if necessary or required.

int Amesos_Lapack::SerialToDense (  )  [protected]

Converts a serial matrix to dense format.

void Amesos_Lapack::setParameterList ( Teuchos::RCP< Teuchos::ParameterList > const &  paramList  )  [virtual]

Use this parameter list to read values from.

Redefined from Teuchos::ParameterListAcceptor

Reimplemented from Amesos_BaseSolver.

int Amesos_Lapack::SetParameters ( Teuchos::ParameterList &  ParameterList  )  [virtual]

Deprecated - Sets parameters.

Implements Amesos_BaseSolver.

int Amesos_Lapack::SetUseTranspose ( bool  UseTranspose  )  [inline, virtual]

If set true, X will be set to the solution of AT X = B (not A X = B).

If the implementation of this interface does not support transpose use, this method should return a value of -1.

<br >Preconditions:

<br >Postconditions:

  • The next factorization and solve will be performed with the new value of UseTranspose.

Parameters:
UseTranspose -- (In) If true, solve AT X = B, otherwise solve A X = B.
Returns:
Integer error code, set to 0 if successful. Set to -1 if this implementation does not support transpose.

Implements Amesos_BaseSolver.

int Amesos_Lapack::Solve (  )  [virtual]

Solves A X = B (or AT x = B).

<br >Preconditions:

<br >Postconditions:

  • X will be set such that A X = B (or AT X = B), within the limits of the accuracy of the underlying solver.

Returns:
Integer error code, set to 0 if successful.

Implements Amesos_BaseSolver.

int Amesos_Lapack::SolveDistributed ( Epetra_MultiVector &  X,
const Epetra_MultiVector &  B 
) [protected]

Solves the linear system, when more than one process is used.

int Amesos_Lapack::SolveSerial ( Epetra_MultiVector &  X,
const Epetra_MultiVector &  B 
) [protected]

Solves the linear system, when only one process is used.

int Amesos_Lapack::SymbolicFactorization (  )  [virtual]

Performs SymbolicFactorization on the matrix A.

In addition to performing symbolic factorization on the matrix A, the call to SymbolicFactorization() implies that no change will be made to the non-zero structure of the underlying matrix without a subsequent call to SymbolicFactorization().

<br >Preconditions:

<br >Postconditions:

Returns:
Integer error code, set to 0 if successful.

Implements Amesos_BaseSolver.

Teuchos::RCP<Teuchos::ParameterList> Amesos_Lapack::unsetParameterList (  )  [virtual]

This is an empty stub.

Reimplemented from Amesos_BaseSolver.

bool Amesos_Lapack::UseTranspose (  )  const [inline, virtual]

Returns the current UseTranspose setting.

Implements Amesos_BaseSolver.


Member Data Documentation

Epetra_SerialDenseMatrix Amesos_Lapack::DenseLHS_ [protected]

Dense LHS.

Epetra_SerialDenseMatrix Amesos_Lapack::DenseMatrix_ [protected]

Dense matrix.

Epetra_SerialDenseMatrix Amesos_Lapack::DenseRHS_ [protected]

Dense RHS.

Epetra_SerialDenseSolver Amesos_Lapack::DenseSolver_ [protected]

Linear problem for dense matrix and vectors.

Teuchos::RCP<Epetra_Import> Amesos_Lapack::Importer_ [protected]

int Amesos_Lapack::MtxConvTime_ [protected]

Quick access ids for the individual timings.

int Amesos_Lapack::NumFactTime_ [protected]

Teuchos::RCP<Teuchos::ParameterList> Amesos_Lapack::ParameterList_ [protected]

Teuchos::RCP<Teuchos::ParameterList> Amesos_Lapack::pl_ [protected]

const Epetra_LinearProblem* Amesos_Lapack::Problem_ [protected]

Pointer to the linear problem.

Teuchos::RCP<Epetra_CrsMatrix> Amesos_Lapack::SerialCrsMatrix_ [protected]

Teuchos::RCP<Epetra_Map> Amesos_Lapack::SerialMap_ [protected]

Teuchos::RCP<Epetra_RowMatrix> Amesos_Lapack::SerialMatrix_ [protected]

int Amesos_Lapack::SolveTime_ [protected]

int Amesos_Lapack::SymFactTime_ [protected]

bool Amesos_Lapack::UseTranspose_ [protected]

If true, the linear system with the transpose will be solved.


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