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

#include <Ifpack_SerialTriDiSolver.h>

Inheritance diagram for Ifpack_SerialTriDiSolver:

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_SerialTriDiMatrix *	Matrix_

Epetra_SerialDenseMatrix *	LHS_

Epetra_SerialDenseMatrix *	RHS_

Ifpack_SerialTriDiMatrix *	Factor_

double *	A_

double *	FERR_

double *	BERR_

double *	AF_

double *	WORK_

double *	B_

double *	X_

Private Member Functions
	Ifpack_SerialTriDiSolver (const Ifpack_SerialTriDiSolver &Source)

Ifpack_SerialTriDiSolver &	operator= (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_SerialTriDiMatrix *	Matrix () const
	Returns pointer to current matrix. More...

Ifpack_SerialTriDiMatrix *	FactoredMatrix () const
	Returns pointer to factored matrix (assuming factorization has been performed). More...

Epetra_SerialDenseMatrix *	LHS () const
	Returns pointer to current LHS. More...

Epetra_SerialDenseMatrix *	RHS () 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.

When you should use Epetra_LAPACK: If you are simply looking for a convenient wrapper around the Fortran LAPACK routines and you have a well-conditioned problem, you should probably use Epetra_LAPACK directly.
When you should use Ifpack_SerialTriDiSolver: If you want to (or potentially want to) solve ill-conditioned problems or want to work with a more object-oriented interface, you should probably use Ifpack_SerialTriDiSolver.

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:

SetMatrix() - Sets the matrix.
SetVectors() - Sets the left and right hand side vector(s).

Vector and Utility Functions

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

Factorizations.
Solves.
Condition estimates.
Equilibration.
Norms.

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 136 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 174 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 177 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

Value Out 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 233 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 236 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 239 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 242 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 245 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Solved ( )

inline

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

Definition at line 248 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionRefined ( )

inline

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

Definition at line 251 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::Matrix ( ) const

inline

Returns pointer to current matrix.

Definition at line 258 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 261 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::LHS ( ) const

inline

Returns pointer to current LHS.

Definition at line 264 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::RHS ( ) const

inline

Returns pointer to current RHS.

Definition at line 267 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::N ( ) const

inline

Returns column dimension of system.

Definition at line 270 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::A ( ) const

inline

Returns pointer to the this matrix.

Definition at line 273 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDA ( ) const

inline

Returns the leading dimension of the this matrix.

Definition at line 276 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::B ( ) const

inline

Returns pointer to current RHS.

Definition at line 279 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDB ( ) const

inline

Returns the leading dimension of the RHS.

Definition at line 282 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 285 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::X ( ) const

inline

Returns pointer to current solution.

Definition at line 288 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDX ( ) const

inline

Returns the leading dimension of the solution.

Definition at line 291 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 294 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDAF ( ) const

inline

Returns the leading dimension of the factored matrix.

Definition at line 297 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 300 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 303 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 306 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 311 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 316 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 319 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 322 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 325 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 336 of file Ifpack_SerialTriDiSolver.h.

void Ifpack_SerialTriDiSolver::AllocateIWORK ( )

inlineprotected

Definition at line 337 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 343 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Factored_

protected

Definition at line 344 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::EstimateSolutionErrors_

protected

Definition at line 345 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionErrorsEstimated_

protected

Definition at line 346 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Solved_

protected

Definition at line 347 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::Inverted_

protected

Definition at line 348 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::ReciprocalConditionEstimated_

protected

Definition at line 349 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::RefineSolution_

protected

Definition at line 350 of file Ifpack_SerialTriDiSolver.h.

bool Ifpack_SerialTriDiSolver::SolutionRefined_

protected

Definition at line 351 of file Ifpack_SerialTriDiSolver.h.

char Ifpack_SerialTriDiSolver::TRANS_

protected

Definition at line 353 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::N_

protected

Definition at line 355 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::Min_MN_

protected

Definition at line 356 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::NRHS_

protected

Definition at line 357 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDA_

protected

Definition at line 358 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDAF_

protected

Definition at line 359 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDB_

protected

Definition at line 360 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LDX_

protected

Definition at line 361 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::INFO_

protected

Definition at line 362 of file Ifpack_SerialTriDiSolver.h.

int Ifpack_SerialTriDiSolver::LWORK_

protected

Definition at line 363 of file Ifpack_SerialTriDiSolver.h.

int* Ifpack_SerialTriDiSolver::IPIV_

protected

Definition at line 365 of file Ifpack_SerialTriDiSolver.h.

int* Ifpack_SerialTriDiSolver::IWORK_

protected

Definition at line 366 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::ANORM_

protected

Definition at line 368 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::RCOND_

protected

Definition at line 369 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::ROWCND_

protected

Definition at line 370 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::COLCND_

protected

Definition at line 371 of file Ifpack_SerialTriDiSolver.h.

double Ifpack_SerialTriDiSolver::AMAX_

protected

Definition at line 372 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::Matrix_

protected

Definition at line 374 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::LHS_

protected

Definition at line 375 of file Ifpack_SerialTriDiSolver.h.

Epetra_SerialDenseMatrix* Ifpack_SerialTriDiSolver::RHS_

protected

Definition at line 376 of file Ifpack_SerialTriDiSolver.h.

Ifpack_SerialTriDiMatrix* Ifpack_SerialTriDiSolver::Factor_

protected

Definition at line 377 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::A_

protected

Definition at line 379 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::FERR_

protected

Definition at line 380 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::BERR_

protected

Definition at line 381 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::AF_

protected

Definition at line 382 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::WORK_

protected

Definition at line 383 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::B_

protected

Definition at line 385 of file Ifpack_SerialTriDiSolver.h.

double* Ifpack_SerialTriDiSolver::X_

protected

Definition at line 386 of file Ifpack_SerialTriDiSolver.h.

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

private

Definition at line 390 of file Ifpack_SerialTriDiSolver.h.

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

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Constructor/Destructor Methods

Set Methods

Strategy modifying Methods

Factor/Solve/Invert Methods

Query methods

Data Accessor methods

I/O methods

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation