Epetra_SerialDenseMatrix: A class for constructing and using real double precision general dense matrices. More...

#include <Epetra_SerialDenseMatrix.h>

Inheritance diagram for Epetra_SerialDenseMatrix:

Protected Member Functions
void	CopyMat (const double Source, int Source_LDA, int NumRows, int NumCols, double Target, int Target_LDA, bool add=false)

void	CleanupData ()

Protected Member Functions inherited from Epetra_Object
std::string	toString (const int &x) const

std::string	toString (const long long &x) const

std::string	toString (const double &x) const

Protected Attributes
int	M_

int	N_

bool	A_Copied_

Epetra_DataAccess	CV_

int	LDA_

double *	A_

bool	UseTranspose_

Protected Attributes inherited from Epetra_CompObject
Epetra_Flops *	FlopCounter_

Friends
class	Epetra_VbrMatrix

Constructor/Destructor Methods
	Epetra_SerialDenseMatrix (bool set_object_label=true)
	Default constructor; defines a zero size object. More...

	Epetra_SerialDenseMatrix (int NumRows, int NumCols, bool set_object_label=true)
	Shaped constructor; defines a variable-sized object. More...

	Epetra_SerialDenseMatrix (Epetra_DataAccess CV, double *A_in, int LDA_in, int NumRows, int NumCols, bool set_object_label=true)
	Set object values from two-dimensional array. More...

	Epetra_SerialDenseMatrix (const Epetra_SerialDenseMatrix &Source)
	Epetra_SerialDenseMatrix copy constructor. More...

virtual	~Epetra_SerialDenseMatrix ()
	Epetra_SerialDenseMatrix destructor. More...

Shaping/sizing Methods
int	Shape (int NumRows, int NumCols)
	Set dimensions of a Epetra_SerialDenseMatrix object; init values to zero. More...

int	Reshape (int NumRows, int NumCols)
	Reshape a Epetra_SerialDenseMatrix object. More...

Mathematical methods
int	Multiply (char TransA, char TransB, double ScalarAB, const Epetra_SerialDenseMatrix &A, const Epetra_SerialDenseMatrix &B, double ScalarThis)
	Matrix-Matrix multiplication, this = ScalarThis*this + ScalarABAB. More...

int	Multiply (bool transA, const Epetra_SerialDenseMatrix &x, Epetra_SerialDenseMatrix &y)
	Matrix-Vector multiplication, y = A*x, where 'this' == A. More...

int	Multiply (char SideA, double ScalarAB, const Epetra_SerialSymDenseMatrix &A, const Epetra_SerialDenseMatrix &B, double ScalarThis)
	Matrix-Matrix multiplication with a symmetric matrix A. More...

int	Scale (double ScalarA)
	Inplace scalar-matrix product A = a A. More...

virtual double	NormOne () const
	Computes the 1-Norm of the this matrix. More...

virtual double	NormInf () const
	Computes the Infinity-Norm of the this matrix. More...

Data Accessor methods
Epetra_SerialDenseMatrix &	operator= (const Epetra_SerialDenseMatrix &Source)
	Value copy from one matrix to another. More...

bool	operator== (const Epetra_SerialDenseMatrix &rhs) const
	Comparison operator. More...

bool	operator!= (const Epetra_SerialDenseMatrix &rhs) const
	Inequality operator. More...

Epetra_SerialDenseMatrix &	operator+= (const Epetra_SerialDenseMatrix &Source)
	Add one matrix to another. More...

double &	operator() (int RowIndex, int ColIndex)
	Element access function. More...

const double &	operator() (int RowIndex, int ColIndex) const
	Element access function. More...

double *	operator[] (int ColIndex)
	Column access function. More...

const double *	operator[] (int ColIndex) const
	Column access function. More...

int	Random ()
	Set matrix values to random numbers. More...

int	M () const
	Returns row dimension of system. More...

int	N () const
	Returns column dimension of system. More...

double *	A () const
	Returns pointer to the this matrix. More...

double *	A ()
	Returns pointer to the this matrix. More...

int	LDA () const
	Returns the leading dimension of the this matrix. More...

Epetra_DataAccess	CV () const
	Returns the data access mode of the this matrix. More...

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

Deprecated methods (will be removed in later versions of this class)
virtual double	OneNorm () const
	Computes the 1-Norm of the this matrix (identical to NormOne() method). More...

virtual double	InfNorm () const
	Computes the Infinity-Norm of the this matrix (identical to NormInf() method). More...

Additional methods to support Epetra_SerialDenseOperator interface
virtual int	SetUseTranspose (bool UseTranspose_in)
	If set true, transpose of this operator will be applied. More...

virtual int	Apply (const Epetra_SerialDenseMatrix &X, Epetra_SerialDenseMatrix &Y)
	Returns the result of a Epetra_SerialDenseOperator applied to a Epetra_SerialDenseMatrix X in Y. More...

virtual int	ApplyInverse (const Epetra_SerialDenseMatrix &X, Epetra_SerialDenseMatrix &Y)
	Returns the result of a Epetra_SerialDenseOperator inverse applied to an Epetra_SerialDenseMatrix X in Y. More...

virtual const char *	Label () const
	Returns a character string describing the operator. More...

virtual bool	UseTranspose () const
	Returns the current UseTranspose setting. More...

virtual bool	HasNormInf () const
	Returns true if the this object can provide an approximate Inf-norm, false otherwise. More...

virtual int	RowDim () const
	Returns the row dimension of operator. More...

virtual int	ColDim () const
	Returns the column dimension of operator. More...

Additional Inherited Members
Public Member Functions inherited from Epetra_CompObject
Epetra_CompObject &	operator= (const Epetra_CompObject &src)

	Epetra_CompObject ()
	Basic Epetra_CompObject constuctor. More...

	Epetra_CompObject (const Epetra_CompObject &Source)
	Epetra_CompObject copy constructor. More...

virtual	~Epetra_CompObject ()
	Epetra_CompObject destructor. More...

void	SetFlopCounter (const Epetra_Flops &FlopCounter_in)
	Set the internal Epetra_Flops() pointer. More...

void	SetFlopCounter (const Epetra_CompObject &CompObject)
	Set the internal Epetra_Flops() pointer to the flop counter of another Epetra_CompObject. More...

void	UnsetFlopCounter ()
	Set the internal Epetra_Flops() pointer to 0 (no flops counted). More...

Epetra_Flops *	GetFlopCounter () const
	Get the pointer to the Epetra_Flops() object associated with this object, returns 0 if none. More...

void	ResetFlops () const
	Resets the number of floating point operations to zero for this multi-vector. More...

double	Flops () const
	Returns the number of floating point operations with this multi-vector. More...

void	UpdateFlops (int Flops_in) const
	Increment Flop count for this object. More...

void	UpdateFlops (long int Flops_in) const
	Increment Flop count for this object. More...

void	UpdateFlops (long long Flops_in) const
	Increment Flop count for this object. More...

void	UpdateFlops (double Flops_in) const
	Increment Flop count for this object. More...

void	UpdateFlops (float Flops_in) const
	Increment Flop count for this object. More...

Public Member Functions inherited from Epetra_Object
	Epetra_Object (int TracebackModeIn=-1, bool set_label=true)
	Epetra_Object Constructor. More...

	Epetra_Object (const char *const Label, int TracebackModeIn=-1)
	Epetra_Object Constructor. More...

	Epetra_Object (const Epetra_Object &Object)
	Epetra_Object Copy Constructor. More...

virtual	~Epetra_Object ()
	Epetra_Object Destructor. More...

virtual void	SetLabel (const char *const Label)
	Epetra_Object Label definition using char *. More...

virtual int	ReportError (const std::string Message, int ErrorCode) const
	Error reporting method. More...

Public Member Functions inherited from Epetra_SerialDenseOperator
virtual	~Epetra_SerialDenseOperator ()
	Destructor. More...

Public Member Functions inherited from Epetra_BLAS
	Epetra_BLAS (void)
	Epetra_BLAS Constructor. More...

	Epetra_BLAS (const Epetra_BLAS &BLAS)
	Epetra_BLAS Copy Constructor. More...

virtual	~Epetra_BLAS (void)
	Epetra_BLAS Destructor. More...

float	ASUM (const int N, const float *X, const int INCX=1) const
	Epetra_BLAS one norm function (SASUM). More...

double	ASUM (const int N, const double *X, const int INCX=1) const
	Epetra_BLAS one norm function (DASUM). More...

float	DOT (const int N, const float X, const float Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS dot product function (SDOT). More...

double	DOT (const int N, const double X, const double Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS dot product function (DDOT). More...

float	NRM2 (const int N, const float *X, const int INCX=1) const
	Epetra_BLAS norm function (SNRM2). More...

double	NRM2 (const int N, const double *X, const int INCX=1) const
	Epetra_BLAS norm function (DNRM2). More...

void	SCAL (const int N, const float ALPHA, float *X, const int INCX=1) const
	Epetra_BLAS vector scale function (SSCAL) More...

void	SCAL (const int N, const double ALPHA, double *X, const int INCX=1) const
	Epetra_BLAS vector scale function (DSCAL) More...

void	COPY (const int N, const float X, float Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector copy function (SCOPY) More...

void	COPY (const int N, const double X, double Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector scale function (DCOPY) More...

int	IAMAX (const int N, const float *X, const int INCX=1) const
	Epetra_BLAS arg maximum of absolute value function (ISAMAX) More...

int	IAMAX (const int N, const double *X, const int INCX=1) const
	Epetra_BLAS arg maximum of absolute value function (IDAMAX) More...

void	AXPY (const int N, const float ALPHA, const float X, float Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector update function (SAXPY) More...

void	AXPY (const int N, const double ALPHA, const double X, double Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector update function (DAXPY) More...

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
	Epetra_BLAS matrix-vector multiply function (SGEMV) More...

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
	Epetra_BLAS matrix-vector multiply function (DGEMV) More...

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
	Epetra_BLAS matrix-matrix multiply function (SGEMM) More...

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
	Epetra_BLAS matrix-matrix multiply function (DGEMM) More...

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
	Epetra_BLAS symmetric matrix-matrix multiply function (SSYMM) More...

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
	Epetra_BLAS matrix-matrix multiply function (DSYMM) More...

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
	Epetra_BLAS triangular matrix-matrix multiply function (STRMM) More...

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
	Epetra_BLAS triangular matrix-matrix multiply function (DTRMM) More...

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
	Eperta_BLAS symetric rank k funtion (ssyrk) More...

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
	Eperta_BLAS symetric rank k funtion (dsyrk) More...

Static Public Member Functions inherited from Epetra_Object
static void	SetTracebackMode (int TracebackModeValue)
	Set the value of the Epetra_Object error traceback report mode. More...

static int	GetTracebackMode ()
	Get the value of the Epetra_Object error report mode. More...

static std::ostream &	GetTracebackStream ()
	Get the output stream for error reporting. More...

Static Public Attributes inherited from Epetra_Object
static int	TracebackMode

Detailed Description

Epetra_SerialDenseMatrix: A class for constructing and using real double precision general dense matrices.

The Epetra_SerialDenseMatrix class enables the construction and use of real-valued, general,
double-precision dense matrices.  It is built on the BLAS, and derives from the Epetra_BLAS.

The Epetra_SerialDenseMatrix class is intended to provide very basic support for dense rectangular matrices.

Constructing Epetra_SerialDenseMatrix Objects

There are four Epetra_SerialDenseMatrix constructors. The first constructs a zero-sized object which should be made to appropriate length using the Shape() or Reshape() functions and then filled with the [] or () operators. The second constructs an object sized to the dimensions specified, which should be filled with the [] or () operators. The third is a constructor that accepts user data as a 2D array, and the fourth is a copy constructor. The third constructor has two data access modes (specified by the Epetra_DataAccess argument):

Copy mode - Allocates memory and makes a copy of the user-provided data. In this case, the user data is not needed after construction.
View mode - Creates a "view" of the user data. In this case, the user data is required to remain intact for the life of the object.

Warning: View mode is extremely dangerous from a data hiding perspective. Therefore, we strongly encourage users to develop code using Copy mode first and only use the View mode in a secondary optimization phase.

Extracting Data from Epetra_SerialDenseMatrix Objects

Once a Epetra_SerialDenseMatrix is constructed, it is possible to view the data via access functions.

Warning: Use of these access functions cam be extremely dangerous from a data hiding perspective.

Vector and Utility Functions

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

Multiplication.
Norms.

Counting floating point operations The Epetra_SerialDenseMatrix 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.

Definition at line 107 of file Epetra_SerialDenseMatrix.h.

Constructor & Destructor Documentation

Epetra_SerialDenseMatrix::Epetra_SerialDenseMatrix ( bool set_object_label = true )

Default constructor; defines a zero size object.

Epetra_SerialDenseMatrix objects defined by the default constructor should be sized with the Shape() or Reshape functions. Values should be defined by using the [] or () operators.

Definition at line 49 of file Epetra_SerialDenseMatrix.cpp.

Epetra_SerialDenseMatrix::Epetra_SerialDenseMatrix	(	int	NumRows,
		int	NumCols,
		bool	set_object_label = `true`
	)

Shaped constructor; defines a variable-sized object.

Parameters

In	NumRows - Number of rows in object.
In	NumCols - Number of columns in object.

Epetra_SerialDenseMatrix objects defined by the shaped constructor are already shaped to the dimensions given as a parameters. All values are initialized to 0. Calling this constructor is equivalent to using the default constructor, and then calling the Shape function on it. Values should be defined by using the [] or () operators.

Definition at line 66 of file Epetra_SerialDenseMatrix.cpp.

Epetra_SerialDenseMatrix::Epetra_SerialDenseMatrix	(	Epetra_DataAccess	CV,
		double *	A_in,
		int	LDA_in,
		int	NumRows,
		int	NumCols,
		bool	set_object_label = `true`
	)

Set object values from two-dimensional array.

Parameters

In	Epetra_DataAccess - Enumerated type set to Copy or View.
In	A - Pointer to an array of double precision numbers. The first vector starts at A. The second vector starts at A+LDA, the third at A+2*LDA, and so on.
In	LDA - The "Leading Dimension", or stride between vectors in memory.
In	NumRows - Number of rows in object.
In	NumCols - Number of columns in object.

See Detailed Description section for further discussion.

Definition at line 92 of file Epetra_SerialDenseMatrix.cpp.

Epetra_SerialDenseMatrix::Epetra_SerialDenseMatrix ( const Epetra_SerialDenseMatrix & Source )

Epetra_SerialDenseMatrix copy constructor.

Definition at line 131 of file Epetra_SerialDenseMatrix.cpp.

Epetra_SerialDenseMatrix::~Epetra_SerialDenseMatrix ( )

virtual

Epetra_SerialDenseMatrix destructor.

Definition at line 205 of file Epetra_SerialDenseMatrix.cpp.

Member Function Documentation

int Epetra_SerialDenseMatrix::Shape	(	int	NumRows,
		int	NumCols
	)

Set dimensions of a Epetra_SerialDenseMatrix object; init values to zero.

Parameters

In	NumRows - Number of rows in object.
In	NumCols - Number of columns in object.

Allows user to define the dimensions of a Epetra_SerialDenseMatrix at any point. This function can be called at any point after construction. Any values that were previously in this object are destroyed and the resized matrix starts off with all zero values.

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

Definition at line 186 of file Epetra_SerialDenseMatrix.cpp.

int Epetra_SerialDenseMatrix::Reshape	(	int	NumRows,
		int	NumCols
	)

Reshape a Epetra_SerialDenseMatrix object.

Parameters

In	NumRows - Number of rows in object.
In	NumCols - Number of columns in object.

Allows user to define the dimensions of a Epetra_SerialDenseMatrix at any point. This function can be called at any point after construction. Any values that were previously in this object are copied into the new shape. If the new shape is smaller than the original, the upper left portion of the original matrix (the principal submatrix) is copied to the new matrix.

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

Definition at line 157 of file Epetra_SerialDenseMatrix.cpp.

int Epetra_SerialDenseMatrix::Multiply	(	char	TransA,
		char	TransB,
		double	ScalarAB,
		const Epetra_SerialDenseMatrix &	A,
		const Epetra_SerialDenseMatrix &	B,
		double	ScalarThis
	)

Matrix-Matrix multiplication, this = ScalarThis*this + ScalarAB*A*B.

This function performs a variety of matrix-matrix multiply operations.

Parameters

In	TransA - Operate with the transpose of A if = 'T', else no transpose if = 'N'.
In	TransB - Operate with the transpose of B if = 'T', else no transpose if = 'N'.
In	ScalarAB - Scalar to multiply with A*B.
In	A - Dense Matrix.
In	B - Dense Matrix.
In	ScalarThis - Scalar to multiply with this.

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

Definition at line 420 of file Epetra_SerialDenseMatrix.cpp.

int Epetra_SerialDenseMatrix::Multiply	(	bool	transA,
		const Epetra_SerialDenseMatrix &	x,
		Epetra_SerialDenseMatrix &	y
	)

Matrix-Vector multiplication, y = A*x, where 'this' == A.

Definition at line 453 of file Epetra_SerialDenseMatrix.cpp.

int Epetra_SerialDenseMatrix::Multiply	(	char	SideA,
		double	ScalarAB,
		const Epetra_SerialSymDenseMatrix &	A,
		const Epetra_SerialDenseMatrix &	B,
		double	ScalarThis
	)

Matrix-Matrix multiplication with a symmetric matrix A.

  If SideA = 'L', compute \e this = ScalarThis*\e this + ScalarAB*A*B.
  If SideA = 'R', compute \e this = ScalarThis*\e this + ScalarAB*B*A.

This function performs a variety of matrix-matrix multiply operations.

Parameters

In	SideA - Specifies order of A relative to B.
In	ScalarAB - Scalar to multiply with A*B.
In	A - Symmetric Dense Matrix, either upper or lower triangle will be used depending on value of A.Upper().
In	B - Dense Matrix.
In	ScalarThis - Scalar to multiply with this.

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

Definition at line 494 of file Epetra_SerialDenseMatrix.cpp.

int Epetra_SerialDenseMatrix::Scale ( double ScalarA )

Inplace scalar-matrix product A = a A.

Scale a matrix, entry-by-entry using the value ScalarA.

Parameters

ScalarA (In) Scalar to multiply with A.

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

Definition at line 406 of file Epetra_SerialDenseMatrix.cpp.

double Epetra_SerialDenseMatrix::NormOne ( void ) const

virtual

Computes the 1-Norm of the this matrix.

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

Reimplemented in Epetra_SerialSymDenseMatrix.

Definition at line 368 of file Epetra_SerialDenseMatrix.cpp.

double Epetra_SerialDenseMatrix::NormInf ( void ) const

virtual

Computes the Infinity-Norm of the this matrix.

Implements Epetra_SerialDenseOperator.

Reimplemented in Epetra_SerialDenseVector, and Epetra_SerialSymDenseMatrix.

Definition at line 384 of file Epetra_SerialDenseMatrix.cpp.

Epetra_SerialDenseMatrix & Epetra_SerialDenseMatrix::operator= ( const Epetra_SerialDenseMatrix & Source )

Value copy from one matrix to another.

The operator= allows one to copy the values from one existing SerialDenseMatrix to another, as long as there is enough room in the target to hold the source.

Returns: Values of the left hand side matrix are modified by the values of the right hand side matrix.

Definition at line 221 of file Epetra_SerialDenseMatrix.cpp.

bool Epetra_SerialDenseMatrix::operator== ( const Epetra_SerialDenseMatrix & rhs ) const

Comparison operator.

operator== compares two Epetra_SerialDenseMatrix objects, returns false if sizes are different, or if any coefficients differ by an amount greater than Epetra_MinDouble.

Definition at line 282 of file Epetra_SerialDenseMatrix.cpp.

bool Epetra_SerialDenseMatrix::operator!= ( const Epetra_SerialDenseMatrix & rhs ) const

inline

Inequality operator.

operator!= simply returns the negation of operator==.

Definition at line 304 of file Epetra_SerialDenseMatrix.h.

Epetra_SerialDenseMatrix & Epetra_SerialDenseMatrix::operator+= ( const Epetra_SerialDenseMatrix & Source )

Add one matrix to another.

The operator+= allows one to add the values from one existin SerialDenseMatrix to another, as long as there is enough room in the target to hold the source.

Returns: Values of the left hand side matrix are modified by the addition of the values of the right hand side matrix.

Definition at line 303 of file Epetra_SerialDenseMatrix.cpp.

double & Epetra_SerialDenseMatrix::operator()	(	int	RowIndex,
		int	ColIndex
	)

inline

Element access function.

The parentheses operator returns the element in the ith row and jth column if A(i,j) is specified, the expression A[j][i] (note that i and j are reversed) will return the same element. Thus, A(i,j) = A[j][i] for all valid i and j.

Returns: Element from the specified row and column.

Warning: No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

Definition at line 499 of file Epetra_SerialDenseMatrix.h.

const double & Epetra_SerialDenseMatrix::operator()	(	int	RowIndex,
		int	ColIndex
	)		const

inline

Element access function.

The parentheses operator returns the element in the ith row and jth column if A(i,j) is specified, the expression A[j][i] (note that i and j are reversed) will return the same element. Thus, A(i,j) = A[j][i] for all valid i and j.

Returns: Element from the specified row and column.

Warning: No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

Definition at line 511 of file Epetra_SerialDenseMatrix.h.

double * Epetra_SerialDenseMatrix::operator[] ( int ColIndex )

inline

Column access function.

The parentheses operator returns the element in the ith row and jth column if A(i,j) is specified, the expression A[j][i] (note that i and j are reversed) will return the same element. Thus, A(i,j) = A[j][i] for all valid i and j.

Returns: Pointer to address of specified column.

Warning: No bounds checking can be done for the index i in the expression A[j][i].; No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

Definition at line 523 of file Epetra_SerialDenseMatrix.h.

const double * Epetra_SerialDenseMatrix::operator[] ( int ColIndex ) const

inline

Column access function.

The parentheses operator returns the element in the ith row and jth column if A(i,j) is specified, the expression A[j][i] (note that i and j are reversed) will return the same element. Thus, A(i,j) = A[j][i] for all valid i and j.

Returns: Pointer to address of specified column.

Warning: No bounds checking can be done for the index i in the expression A[j][i].; No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

Definition at line 532 of file Epetra_SerialDenseMatrix.h.

int Epetra_SerialDenseMatrix::Random ( )

Set matrix values to random numbers.

SerialDenseMatrix uses the random number generator provided by Epetra_Util. The matrix values will be set to random values on the interval (-1.0, 1.0).

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

Definition at line 551 of file Epetra_SerialDenseMatrix.cpp.

int Epetra_SerialDenseMatrix::M ( ) const

inline

Returns row dimension of system.

Definition at line 377 of file Epetra_SerialDenseMatrix.h.

int Epetra_SerialDenseMatrix::N ( ) const

inline

Returns column dimension of system.

Definition at line 380 of file Epetra_SerialDenseMatrix.h.

double* Epetra_SerialDenseMatrix::A ( ) const

inline

Returns pointer to the this matrix.

Definition at line 383 of file Epetra_SerialDenseMatrix.h.

double* Epetra_SerialDenseMatrix::A ( )

inline

Returns pointer to the this matrix.

Definition at line 386 of file Epetra_SerialDenseMatrix.h.

int Epetra_SerialDenseMatrix::LDA ( ) const

inline

Returns the leading dimension of the this matrix.

Definition at line 389 of file Epetra_SerialDenseMatrix.h.

Epetra_DataAccess Epetra_SerialDenseMatrix::CV ( ) const

inline

Returns the data access mode of the this matrix.

Definition at line 392 of file Epetra_SerialDenseMatrix.h.

void Epetra_SerialDenseMatrix::Print ( std::ostream & os ) const

virtual

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

Reimplemented from Epetra_Object.

Reimplemented in Epetra_SerialDenseVector.

Definition at line 527 of file Epetra_SerialDenseMatrix.cpp.

virtual double Epetra_SerialDenseMatrix::OneNorm ( ) const

inlinevirtual

Computes the 1-Norm of the this matrix (identical to NormOne() method).

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

Reimplemented in Epetra_SerialSymDenseMatrix.

Definition at line 408 of file Epetra_SerialDenseMatrix.h.

virtual double Epetra_SerialDenseMatrix::InfNorm ( ) const

inlinevirtual

Computes the Infinity-Norm of the this matrix (identical to NormInf() method).

Reimplemented in Epetra_SerialSymDenseMatrix.

Definition at line 411 of file Epetra_SerialDenseMatrix.h.

virtual int Epetra_SerialDenseMatrix::SetUseTranspose ( bool UseTranspose_in )

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.

Parameters

In	UseTranspose -If true, multiply by the transpose of operator, otherwise just use operator.

Returns: Integer error code, set to 0 if successful. Set to -1 if this implementation does not support transpose.

Implements Epetra_SerialDenseOperator.

Definition at line 427 of file Epetra_SerialDenseMatrix.h.

int Epetra_SerialDenseMatrix::Apply	(	const Epetra_SerialDenseMatrix &	X,
		Epetra_SerialDenseMatrix &	Y
	)

virtual

Returns the result of a Epetra_SerialDenseOperator applied to a Epetra_SerialDenseMatrix X in Y.

Parameters

In	X - A Epetra_SerialDenseMatrix to multiply with operator.
Out	Y -A Epetra_SerialDenseMatrix containing result.

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

Implements Epetra_SerialDenseOperator.

Definition at line 566 of file Epetra_SerialDenseMatrix.cpp.

virtual int Epetra_SerialDenseMatrix::ApplyInverse	(	const Epetra_SerialDenseMatrix &	X,
		Epetra_SerialDenseMatrix &	Y
	)

inlinevirtual

Returns the result of a Epetra_SerialDenseOperator inverse applied to an Epetra_SerialDenseMatrix X in Y.

Parameters

In	X - A Epetra_SerialDenseMatrix to solve for.
Out	Y -A Epetra_SerialDenseMatrix containing result.

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

Implements Epetra_SerialDenseOperator.

Definition at line 450 of file Epetra_SerialDenseMatrix.h.

virtual const char* Epetra_SerialDenseMatrix::Label ( ) const

inlinevirtual

Returns a character string describing the operator.

Reimplemented from Epetra_Object.

Definition at line 458 of file Epetra_SerialDenseMatrix.h.

virtual bool Epetra_SerialDenseMatrix::UseTranspose ( ) const

inlinevirtual

Returns the current UseTranspose setting.

Implements Epetra_SerialDenseOperator.

Definition at line 461 of file Epetra_SerialDenseMatrix.h.

virtual bool Epetra_SerialDenseMatrix::HasNormInf ( ) const

inlinevirtual

Returns true if the this object can provide an approximate Inf-norm, false otherwise.

Implements Epetra_SerialDenseOperator.

Definition at line 464 of file Epetra_SerialDenseMatrix.h.

virtual int Epetra_SerialDenseMatrix::RowDim ( ) const

inlinevirtual

Returns the row dimension of operator.

Implements Epetra_SerialDenseOperator.

Definition at line 467 of file Epetra_SerialDenseMatrix.h.

virtual int Epetra_SerialDenseMatrix::ColDim ( ) const

inlinevirtual

Returns the column dimension of operator.

Implements Epetra_SerialDenseOperator.

Definition at line 470 of file Epetra_SerialDenseMatrix.h.

void Epetra_SerialDenseMatrix::CopyMat	(	const double *	Source,
		int	Source_LDA,
		int	NumRows,
		int	NumCols,
		double *	Target,
		int	Target_LDA,
		bool	add = `false`
	)