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Ifpack_SerialTriDiSolver Class Reference

Ifpack_SerialTriDiSolver: A class for solving TriDi linear problems. More...

#include <Ifpack_SerialTriDiSolver.h>

Inheritance diagram for Ifpack_SerialTriDiSolver:
Inheritance graph
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Protected Member Functions

void AllocateWORK ()
 
void AllocateIWORK ()
 
void InitPointers ()
 
void DeleteArrays ()
 
void ResetMatrix ()
 
void ResetVectors ()
 

Protected Attributes

bool Transpose_
 
bool Factored_
 
bool EstimateSolutionErrors_
 
bool SolutionErrorsEstimated_
 
bool Solved_
 
bool Inverted_
 
bool ReciprocalConditionEstimated_
 
bool RefineSolution_
 
bool SolutionRefined_
 
char TRANS_
 
int N_
 
int Min_MN_
 
int NRHS_
 
int LDA_
 
int LDAF_
 
int LDB_
 
int LDX_
 
int INFO_
 
int LWORK_
 
int * IPIV_
 
int * IWORK_
 
double ANORM_
 
double RCOND_
 
double ROWCND_
 
double COLCND_
 
double AMAX_
 
Ifpack_SerialTriDiMatrixMatrix_
 
Epetra_SerialDenseMatrixLHS_
 
Epetra_SerialDenseMatrixRHS_
 
Ifpack_SerialTriDiMatrixFactor_
 
double * A_
 
double * FERR_
 
double * BERR_
 
double * AF_
 
double * WORK_
 
double * B_
 
double * X_
 

Private Member Functions

 Ifpack_SerialTriDiSolver (const Ifpack_SerialTriDiSolver &Source)
 
Ifpack_SerialTriDiSolveroperator= (const Ifpack_SerialTriDiSolver &Source)
 

Private Attributes

Teuchos::LAPACK< int, double > lapack
 

Constructor/Destructor Methods

 Ifpack_SerialTriDiSolver ()
 Default constructor; matrix should be set using SetMatrix(), LHS and RHS set with SetVectors(). More...
 
virtual ~Ifpack_SerialTriDiSolver ()
 Ifpack_SerialTriDiSolver destructor. More...
 

Set Methods

int SetMatrix (Ifpack_SerialTriDiMatrix &A)
 Sets the pointers for coefficient matrix. More...
 
int SetVectors (Epetra_SerialDenseMatrix &X, Epetra_SerialDenseMatrix &B)
 Sets the pointers for left and right hand side vector(s). More...
 

Strategy modifying Methods

void SolveWithTranspose (bool Flag)
 Causes equilibration to be called just before the matrix factorization as part of the call to Factor. More...
 
void SolveToRefinedSolution (bool Flag)
 Causes all solves to compute solution to best ability using iterative refinement. More...
 
void EstimateSolutionErrors (bool Flag)
 Causes all solves to estimate the forward and backward solution error. More...
 

Factor/Solve/Invert Methods

virtual int Factor (void)
 Computes the in-place LU factorization of the matrix using the LAPACK routine DGETRF. More...
 
virtual int Solve (void)
 Computes the solution X to AX = B for the this matrix and the B provided to SetVectors().. More...
 
virtual int Invert (void)
 Inverts the this matrix. More...
 
virtual int ApplyRefinement (void)
 Apply Iterative Refinement. More...
 
virtual int ReciprocalConditionEstimate (double &Value)
 Unscales the solution vectors if equilibration was used to solve the system. More...
 

Query methods

bool Transpose ()
 Returns true if transpose of this matrix has and will be used. More...
 
bool Factored ()
 Returns true if matrix is factored (factor available via AF() and LDAF()). More...
 
bool SolutionErrorsEstimated ()
 Returns true if forward and backward error estimated have been computed (available via FERR() and BERR()). More...
 
bool Inverted ()
 Returns true if matrix inverse has been computed (inverse available via AF() and LDAF()). More...
 
bool ReciprocalConditionEstimated ()
 Returns true if the condition number of the this matrix has been computed (value available via ReciprocalConditionEstimate()). More...
 
bool Solved ()
 Returns true if the current set of vectors has been solved. More...
 
bool SolutionRefined ()
 Returns true if the current set of vectors has been refined. More...
 

Data Accessor methods

Ifpack_SerialTriDiMatrixMatrix () const
 Returns pointer to current matrix. More...
 
Ifpack_SerialTriDiMatrixFactoredMatrix () const
 Returns pointer to factored matrix (assuming factorization has been performed). More...
 
Epetra_SerialDenseMatrixLHS () const
 Returns pointer to current LHS. More...
 
Epetra_SerialDenseMatrixRHS () const
 Returns pointer to current RHS. More...
 
int N () const
 Returns column dimension of system. More...
 
double * A () const
 Returns pointer to the this matrix. More...
 
int LDA () const
 Returns the leading dimension of the this matrix. More...
 
double * B () const
 Returns pointer to current RHS. More...
 
int LDB () const
 Returns the leading dimension of the RHS. More...
 
int NRHS () const
 Returns the number of current right hand sides and solution vectors. More...
 
double * X () const
 Returns pointer to current solution. More...
 
int LDX () const
 Returns the leading dimension of the solution. More...
 
double * AF () const
 Returns pointer to the factored matrix (may be the same as A() if factorization done in place). More...
 
int LDAF () const
 Returns the leading dimension of the factored matrix. More...
 
int * IPIV () const
 Returns pointer to pivot vector (if factorization has been computed), zero otherwise. More...
 
double ANORM () const
 Returns the 1-Norm of the this matrix (returns -1 if not yet computed). More...
 
double RCOND () const
 Returns the reciprocal of the condition number of the this matrix (returns -1 if not yet computed). More...
 
double ROWCND () const
 Ratio of smallest to largest row scale factors for the this matrix (returns -1 if not yet computed). More...
 
double COLCND () const
 Ratio of smallest to largest column scale factors for the this matrix (returns -1 if not yet computed). More...
 
double AMAX () const
 Returns the absolute value of the largest entry of the this matrix (returns -1 if not yet computed). More...
 
double * FERR () const
 Returns a pointer to the forward error estimates computed by LAPACK. More...
 
double * BERR () const
 Returns a pointer to the backward error estimates computed by LAPACK. More...
 

I/O methods

virtual void Print (std::ostream &os) const
 Print service methods; defines behavior of ostream << operator. More...
 

Additional Inherited Members

- Public Member Functions inherited from Epetra_BLAS
 Epetra_BLAS (void)
 
 Epetra_BLAS (const Epetra_BLAS &BLAS)
 
virtual ~Epetra_BLAS (void)
 
float ASUM (const int N, const float *X, const int INCX=1) const
 
double ASUM (const int N, const double *X, const int INCX=1) const
 
float DOT (const int N, const float *X, const float *Y, const int INCX=1, const int INCY=1) const
 
double DOT (const int N, const double *X, const double *Y, const int INCX=1, const int INCY=1) const
 
float NRM2 (const int N, const float *X, const int INCX=1) const
 
double NRM2 (const int N, const double *X, const int INCX=1) const
 
void SCAL (const int N, const float ALPHA, float *X, const int INCX=1) const
 
void SCAL (const int N, const double ALPHA, double *X, const int INCX=1) const
 
void COPY (const int N, const float *X, float *Y, const int INCX=1, const int INCY=1) const
 
void COPY (const int N, const double *X, double *Y, const int INCX=1, const int INCY=1) const
 
int IAMAX (const int N, const float *X, const int INCX=1) const
 
int IAMAX (const int N, const double *X, const int INCX=1) const
 
void AXPY (const int N, const float ALPHA, const float *X, float *Y, const int INCX=1, const int INCY=1) const
 
void AXPY (const int N, const double ALPHA, const double *X, double *Y, const int INCX=1, const int INCY=1) const
 
void GEMV (const char TRANS, const int M, const int N, const float ALPHA, const float *A, const int LDA, const float *X, const float BETA, float *Y, const int INCX=1, const int INCY=1) const
 
void GEMV (const char TRANS, const int M, const int N, const double ALPHA, const double *A, const int LDA, const double *X, const double BETA, double *Y, const int INCX=1, const int INCY=1) const
 
void GEMM (const char TRANSA, const char TRANSB, const int M, const int N, const int K, const float ALPHA, const float *A, const int LDA, const float *B, const int LDB, const float BETA, float *C, const int LDC) const
 
void GEMM (const char TRANSA, const char TRANSB, const int M, const int N, const int K, const double ALPHA, const double *A, const int LDA, const double *B, const int LDB, const double BETA, double *C, const int LDC) const
 
void SYMM (const char SIDE, const char UPLO, const int M, const int N, const float ALPHA, const float *A, const int LDA, const float *B, const int LDB, const float BETA, float *C, const int LDC) const
 
void SYMM (const char SIDE, const char UPLO, const int M, const int N, const double ALPHA, const double *A, const int LDA, const double *B, const int LDB, const double BETA, double *C, const int LDC) const
 
void TRMM (const char SIDE, const char UPLO, const char TRANSA, const char DIAG, const int M, const int N, const float ALPHA, const float *A, const int LDA, float *B, const int LDB) const
 
void TRMM (const char SIDE, const char UPLO, const char TRANSA, const char DIAG, const int M, const int N, const double ALPHA, const double *A, const int LDA, double *B, const int LDB) const
 
void SYRK (const char UPLO, const char TRANS, const int N, const int K, const float ALPHA, const float *A, const int LDA, const float BETA, float *C, const int LDC) const
 
void SYRK (const char UPLO, const char TRANS, const int N, const int K, const double ALPHA, const double *A, const int LDA, const double BETA, double *C, const int LDC) const
 
 Epetra_BLAS (void)
 
 Epetra_BLAS (const Epetra_BLAS &BLAS)
 
virtual ~Epetra_BLAS (void)
 
float ASUM (const int N, const float *X, const int INCX=1) const
 
double ASUM (const int N, const double *X, const int INCX=1) const
 
float DOT (const int N, const float *X, const float *Y, const int INCX=1, const int INCY=1) const
 
double DOT (const int N, const double *X, const double *Y, const int INCX=1, const int INCY=1) const
 
float NRM2 (const int N, const float *X, const int INCX=1) const
 
double NRM2 (const int N, const double *X, const int INCX=1) const
 
void SCAL (const int N, const float ALPHA, float *X, const int INCX=1) const
 
void SCAL (const int N, const double ALPHA, double *X, const int INCX=1) const
 
void COPY (const int N, const float *X, float *Y, const int INCX=1, const int INCY=1) const
 
void COPY (const int N, const double *X, double *Y, const int INCX=1, const int INCY=1) const
 
int IAMAX (const int N, const float *X, const int INCX=1) const
 
int IAMAX (const int N, const double *X, const int INCX=1) const
 
void AXPY (const int N, const float ALPHA, const float *X, float *Y, const int INCX=1, const int INCY=1) const
 
void AXPY (const int N, const double ALPHA, const double *X, double *Y, const int INCX=1, const int INCY=1) const
 
void GEMV (const char TRANS, const int M, const int N, const float ALPHA, const float *A, const int LDA, const float *X, const float BETA, float *Y, const int INCX=1, const int INCY=1) const
 
void GEMV (const char TRANS, const int M, const int N, const double ALPHA, const double *A, const int LDA, const double *X, const double BETA, double *Y, const int INCX=1, const int INCY=1) const
 
void GEMM (const char TRANSA, const char TRANSB, const int M, const int N, const int K, const float ALPHA, const float *A, const int LDA, const float *B, const int LDB, const float BETA, float *C, const int LDC) const
 
void GEMM (const char TRANSA, const char TRANSB, const int M, const int N, const int K, const double ALPHA, const double *A, const int LDA, const double *B, const int LDB, const double BETA, double *C, const int LDC) const
 
void SYMM (const char SIDE, const char UPLO, const int M, const int N, const float ALPHA, const float *A, const int LDA, const float *B, const int LDB, const float BETA, float *C, const int LDC) const
 
void SYMM (const char SIDE, const char UPLO, const int M, const int N, const double ALPHA, const double *A, const int LDA, const double *B, const int LDB, const double BETA, double *C, const int LDC) const
 
void TRMM (const char SIDE, const char UPLO, const char TRANSA, const char DIAG, const int M, const int N, const float ALPHA, const float *A, const int LDA, float *B, const int LDB) const
 
void TRMM (const char SIDE, const char UPLO, const char TRANSA, const char DIAG, const int M, const int N, const double ALPHA, const double *A, const int LDA, double *B, const int LDB) const
 
void SYRK (const char UPLO, const char TRANS, const int N, const int K, const float ALPHA, const float *A, const int LDA, const float BETA, float *C, const int LDC) const
 
void SYRK (const char UPLO, const char TRANS, const int N, const int K, const double ALPHA, const double *A, const int LDA, const double BETA, double *C, const int LDC) const
 

Detailed Description

Ifpack_SerialTriDiSolver: A class for solving TriDi linear problems.

The Ifpack_SerialTriDiSolver class enables the definition, in terms of Ifpack_SerialTriDiMatrix
and Ifpack_SerialTriDiVector objects, of a TriDi linear problem, followed by the solution of that problem via the
most sophisticated techniques available in LAPACK.

The Ifpack_SerialTriDiSolver class is intended to provide full-featured support for solving linear problems for general TriDi rectangular (or square) matrices. It is written on top of BLAS and LAPACK and thus has excellent performance and numerical capabilities. Using this class, one can either perform simple factorizations and solves or apply all the tricks available in LAPACK to get the best possible solution for very ill-conditioned problems.

Ifpack_SerialTriDiSolver vs. Epetra_LAPACK

The Epetra_LAPACK class provides access to most of the same functionality as Ifpack_SerialTriDiSolver. The primary difference is that Epetra_LAPACK is a "thin" layer on top of LAPACK and Ifpack_SerialTriDiSolver attempts to provide easy access to the more sophisticated aspects of solving TriDi linear and eigensystems.

Constructing Ifpack_SerialTriDiSolver Objects

There is a single Ifpack_SerialTriDiSolver constructor. However, the matrix, right hand side and solution vectors must be set prior to executing most methods in this class.

Setting vectors used for linear solves

The matrix A, the left hand side X and the right hand side B (when solving AX = B, for X), can be set by appropriate set methods. Each of these three objects must be an Ifpack_SerialTriDiMatrix or and Epetra_SerialDenseVector object. The set methods are as follows:

Vector and Utility Functions

Once a Ifpack_SerialTriDiSolver is constructed, several mathematical functions can be applied to the object. Specifically:

Counting floating point operations The Ifpack_SerialTriDiSolver class has Epetra_CompObject as a base class. Thus, floating point operations are counted and accumulated in the Epetra_Flop object (if any) that was set using the SetFlopCounter() method in the Epetra_CompObject base class.

Strategies for Solving Linear Systems In many cases, linear systems can be accurately solved by simply computing the LU factorization of the matrix and then performing a forward back solve with a given set of right hand side vectors. However, in some instances, the factorization may be very poorly conditioned and this simple approach may not work. In these situations, equilibration and iterative refinement may improve the accuracy, or prevent a breakdown in the factorization.

LAPACK does not provide an equilibration functionality for tridiagonal data structures.

Ifpack_SerialTriDiSolver will use iterative refinement after a forward/back solve if you call SolveToRefinedSolution(true). It will also compute forward and backward error estimates if you call EstimateSolutionErrors(true). Access to the forward (back) error estimates is available via FERR() (BERR()).

Examples using Ifpack_SerialTriDiSolver can be found in the Epetra test directories.

Definition at line 130 of file Ifpack_SerialTriDiSolver.h.

Constructor & Destructor Documentation

Ifpack_SerialTriDiSolver::Ifpack_SerialTriDiSolver ( )

Default constructor; matrix should be set using SetMatrix(), LHS and RHS set with SetVectors().

Definition at line 48 of file Ifpack_SerialTriDiSolver.cpp.

Ifpack_SerialTriDiSolver::~Ifpack_SerialTriDiSolver ( )
virtual

Ifpack_SerialTriDiSolver destructor.

Definition at line 93 of file Ifpack_SerialTriDiSolver.cpp.

Ifpack_SerialTriDiSolver::Ifpack_SerialTriDiSolver ( const Ifpack_SerialTriDiSolver Source)
private

Member Function Documentation

int Ifpack_SerialTriDiSolver::SetMatrix ( Ifpack_SerialTriDiMatrix A)

Sets the pointers for coefficient matrix.

Definition at line 149 of file Ifpack_SerialTriDiSolver.cpp.

int Ifpack_SerialTriDiSolver::SetVectors ( Epetra_SerialDenseMatrix X,
Epetra_SerialDenseMatrix B 
)

Sets the pointers for left and right hand side vector(s).

Row dimension of X must match column dimension of matrix A, row dimension of B must match row dimension of A. X and B must have the same dimensions.

Definition at line 176 of file Ifpack_SerialTriDiSolver.cpp.

void Ifpack_SerialTriDiSolver::SolveWithTranspose ( bool  Flag)
inline

Causes equilibration to be called just before the matrix factorization as part of the call to Factor.

This function must be called before the factorization is performed.If Flag is true, causes all subsequent function calls to work with the transpose of this matrix, otherwise not.

Definition at line 168 of file Ifpack_SerialTriDiSolver.h.

void Ifpack_SerialTriDiSolver::SolveToRefinedSolution ( bool  Flag)
inline

Causes all solves to compute solution to best ability using iterative refinement.

Definition at line 171 of file Ifpack_SerialTriDiSolver.h.

void Ifpack_SerialTriDiSolver::EstimateSolutionErrors ( bool  Flag)

Causes all solves to estimate the forward and backward solution error.

Error estimates will be in the arrays FERR and BERR, resp, after the solve step is complete. These arrays are accessible via the FERR() and BERR() access functions.

Definition at line 192 of file Ifpack_SerialTriDiSolver.cpp.

int Ifpack_SerialTriDiSolver::Factor ( void  )
virtual

Computes the in-place LU factorization of the matrix using the LAPACK routine DGETRF.

Returns
Integer error code, set to 0 if successful.

Definition at line 199 of file Ifpack_SerialTriDiSolver.cpp.

int Ifpack_SerialTriDiSolver::Solve ( void  )
virtual

Computes the solution X to AX = B for the this matrix and the B provided to SetVectors()..

Returns
Integer error code, set to 0 if successful.

Definition at line 237 of file Ifpack_SerialTriDiSolver.cpp.

int Ifpack_SerialTriDiSolver::Invert ( void  )
virtual

Inverts the this matrix.

Returns
Integer error code, set to 0 if successful. Otherwise returns the LAPACK error code INFO.

Definition at line 303 of file Ifpack_SerialTriDiSolver.cpp.

int Ifpack_SerialTriDiSolver::ApplyRefinement ( void  )
virtual

Apply Iterative Refinement.

Returns
Integer error code, set to 0 if successful. Otherwise returns the LAPACK error code INFO.

Definition at line 295 of file Ifpack_SerialTriDiSolver.cpp.

int Ifpack_SerialTriDiSolver::ReciprocalConditionEstimate ( double &  Value)
virtual

Unscales the solution vectors if equilibration was used to solve the system.

Returns
Integer error code, set to 0 if successful. Otherwise returns the LAPACK error code INFO.Returns the reciprocal of the 1-norm condition number of the this matrix.
Parameters
ValueOut On return contains the reciprocal of the 1-norm condition number of the this matrix.
Returns
Integer error code, set to 0 if successful. Otherwise returns the LAPACK error code INFO.

Definition at line 322 of file Ifpack_SerialTriDiSolver.cpp.

bool Ifpack_SerialTriDiSolver::Transpose ( )
inline

Returns true if transpose of this matrix has and will be used.

Definition at line 227 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Factored ( )
inline

Returns true if matrix is factored (factor available via AF() and LDAF()).

Definition at line 230 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionErrorsEstimated ( )
inline

Returns true if forward and backward error estimated have been computed (available via FERR() and BERR()).

Definition at line 233 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Inverted ( )
inline

Returns true if matrix inverse has been computed (inverse available via AF() and LDAF()).

Definition at line 236 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::ReciprocalConditionEstimated ( )
inline

Returns true if the condition number of the this matrix has been computed (value available via ReciprocalConditionEstimate()).

Definition at line 239 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Solved ( )
inline

Returns true if the current set of vectors has been solved.

Definition at line 242 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionRefined ( )
inline

Returns true if the current set of vectors has been refined.

Definition at line 245 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::Matrix ( ) const
inline

Returns pointer to current matrix.

Definition at line 252 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::FactoredMatrix ( ) const
inline

Returns pointer to factored matrix (assuming factorization has been performed).

Definition at line 255 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::LHS ( ) const
inline

Returns pointer to current LHS.

Definition at line 258 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::RHS ( ) const
inline

Returns pointer to current RHS.

Definition at line 261 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::N ( ) const
inline

Returns column dimension of system.

Definition at line 264 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::A ( ) const
inline

Returns pointer to the this matrix.

Definition at line 267 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDA ( ) const
inline

Returns the leading dimension of the this matrix.

Definition at line 270 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::B ( ) const
inline

Returns pointer to current RHS.

Definition at line 273 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDB ( ) const
inline

Returns the leading dimension of the RHS.

Definition at line 276 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::NRHS ( ) const
inline

Returns the number of current right hand sides and solution vectors.

Definition at line 279 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::X ( ) const
inline

Returns pointer to current solution.

Definition at line 282 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDX ( ) const
inline

Returns the leading dimension of the solution.

Definition at line 285 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::AF ( ) const
inline

Returns pointer to the factored matrix (may be the same as A() if factorization done in place).

Definition at line 288 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDAF ( ) const
inline

Returns the leading dimension of the factored matrix.

Definition at line 291 of file Ifpack_SerialTriDiSolver.h.

int* Ifpack_SerialTriDiSolver::IPIV ( ) const
inline

Returns pointer to pivot vector (if factorization has been computed), zero otherwise.

Definition at line 294 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::ANORM ( ) const
inline

Returns the 1-Norm of the this matrix (returns -1 if not yet computed).

Definition at line 297 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::RCOND ( ) const
inline

Returns the reciprocal of the condition number of the this matrix (returns -1 if not yet computed).

Definition at line 300 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::ROWCND ( ) const
inline

Ratio of smallest to largest row scale factors for the this matrix (returns -1 if not yet computed).

If ROWCND() is >= 0.1 and AMAX() is not close to overflow or underflow, then equilibration is not needed.

Definition at line 305 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::COLCND ( ) const
inline

Ratio of smallest to largest column scale factors for the this matrix (returns -1 if not yet computed).

If COLCND() is >= 0.1 then equilibration is not needed.

Definition at line 310 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::AMAX ( ) const
inline

Returns the absolute value of the largest entry of the this matrix (returns -1 if not yet computed).

Definition at line 313 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::FERR ( ) const
inline

Returns a pointer to the forward error estimates computed by LAPACK.

Definition at line 316 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::BERR ( ) const
inline

Returns a pointer to the backward error estimates computed by LAPACK.

Definition at line 319 of file Ifpack_SerialTriDiSolver.h.

void Ifpack_SerialTriDiSolver::Print ( std::ostream &  os) const
virtual

Print service methods; defines behavior of ostream << operator.

Definition at line 345 of file Ifpack_SerialTriDiSolver.cpp.

void Ifpack_SerialTriDiSolver::AllocateWORK ( )
inlineprotected

Definition at line 330 of file Ifpack_SerialTriDiSolver.h.

void Ifpack_SerialTriDiSolver::AllocateIWORK ( )
inlineprotected

Definition at line 331 of file Ifpack_SerialTriDiSolver.h.

void Ifpack_SerialTriDiSolver::InitPointers ( )
protected

Definition at line 98 of file Ifpack_SerialTriDiSolver.cpp.

void Ifpack_SerialTriDiSolver::DeleteArrays ( )
protected

Definition at line 112 of file Ifpack_SerialTriDiSolver.cpp.

void Ifpack_SerialTriDiSolver::ResetMatrix ( )
protected

Definition at line 129 of file Ifpack_SerialTriDiSolver.cpp.

void Ifpack_SerialTriDiSolver::ResetVectors ( )
protected

Definition at line 161 of file Ifpack_SerialTriDiSolver.cpp.

Ifpack_SerialTriDiSolver& Ifpack_SerialTriDiSolver::operator= ( const Ifpack_SerialTriDiSolver Source)
private

Member Data Documentation

bool Ifpack_SerialTriDiSolver::Transpose_
protected

Definition at line 337 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Factored_
protected

Definition at line 338 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::EstimateSolutionErrors_
protected

Definition at line 339 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionErrorsEstimated_
protected

Definition at line 340 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Solved_
protected

Definition at line 341 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Inverted_
protected

Definition at line 342 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::ReciprocalConditionEstimated_
protected

Definition at line 343 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::RefineSolution_
protected

Definition at line 344 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionRefined_
protected

Definition at line 345 of file Ifpack_SerialTriDiSolver.h.

char Ifpack_SerialTriDiSolver::TRANS_
protected

Definition at line 347 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::N_
protected

Definition at line 349 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::Min_MN_
protected

Definition at line 350 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::NRHS_
protected

Definition at line 351 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDA_
protected

Definition at line 352 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDAF_
protected

Definition at line 353 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDB_
protected

Definition at line 354 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDX_
protected

Definition at line 355 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::INFO_
protected

Definition at line 356 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LWORK_
protected

Definition at line 357 of file Ifpack_SerialTriDiSolver.h.

int* Ifpack_SerialTriDiSolver::IPIV_
protected

Definition at line 359 of file Ifpack_SerialTriDiSolver.h.

int* Ifpack_SerialTriDiSolver::IWORK_
protected

Definition at line 360 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::ANORM_
protected

Definition at line 362 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::RCOND_
protected

Definition at line 363 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::ROWCND_
protected

Definition at line 364 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::COLCND_
protected

Definition at line 365 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::AMAX_
protected

Definition at line 366 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::Matrix_
protected

Definition at line 368 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::LHS_
protected

Definition at line 369 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::RHS_
protected

Definition at line 370 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::Factor_
protected

Definition at line 371 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::A_
protected

Definition at line 373 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::FERR_
protected

Definition at line 374 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::BERR_
protected

Definition at line 375 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::AF_
protected

Definition at line 376 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::WORK_
protected

Definition at line 377 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::B_
protected

Definition at line 379 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::X_
protected

Definition at line 380 of file Ifpack_SerialTriDiSolver.h.

Teuchos::LAPACK<int,double> Ifpack_SerialTriDiSolver::lapack
private

Definition at line 384 of file Ifpack_SerialTriDiSolver.h.


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