Matrix Class Reference

List of all members.

Public Member Functions
	Matrix ()
	Constructor Empty.
	Matrix (unsigned long NumberLines, unsigned long NumberColumns, double InitValue=0.0)
	Constructor with parameters.
	Matrix (Matrix &Instance)
	Copy Constructor.
	Matrix (FILE *File)
	Constructor.
	~Matrix ()
Matrix &	operator= (Matrix &Instance)
	Assignment operation.
Matrix &	Equal (Matrix &Instance)
	Method to assign one object to another. Ex.: A.Equal(B).
	operator double *const ()
	Convertion matrix to double* data type.
double &	operator() (long Row, long Column)
	Acess the elements (Row, Col), without verify the borders.
double &	GetElement (unsigned long Row, unsigned long Column)
	Acess the elements and checks if the element (i, j) belongs the matrix.
double &	GetEndElement ()
	Acess the last element of the matrix.
void	SetElement (long Row, long Column, double Element)
	Acess the elements and checks if the element (i, j) belongs the matrix.
void	SetOrder (unsigned long NumberLines=0, unsigned long NumberColumns=0, double InitValue=0.0)
	Initialized the matrix order.
void	GetOrder (unsigned long &NumberLines, unsigned long &NumberColumns)
	Returns the matrix order.
long	GetNumberLines ()
	Return the number of rows.
long	GetNumberColumns ()
	Return the number of colums.
unsigned long	GetNumberElements ()
	Return the elements number of the matrix.
long	SizeOf ()
	Return the bytes number occuped by the matrix.
void	Reset (double Value=0.0)
	Reinitializes the Matrix Elements.
void	Identity ()
	Creates Matrix Identity.
void	Transpose (Matrix &Transpost)
	Transposed Matrix.
void	Insert (Matrix &SubMatrix, long InitLine=0, long InitColumn=0)
	Insert sub-matrix from the parameters "InitLine" and "InitColumn" in the Matrix.
double	Maximum ()
	Return the maximum value of the matrix.
double	Minimum ()
	Return the minimum value of the Matrix.
double	EuclideanNorm ()
	Returns the euclidean norm.
Matrix &	Product (double *A, unsigned long N, double b=1.0)
double	Norm1 ()
	Calculates the norm 1 of the Matrix - The absolute value of the maximum sum of columns.
double	NormInfinity ()
	Return the absolute value of the largest sum of the rows.
Matrix &	Chs ()
	Inverts the signal of elements of the matrix.
Matrix &	operator- ()
	Inverts the signal of elements of the matrix.
Matrix &	Add (Matrix &A, Matrix &B)
	Matrix addition.
Matrix &	operator+= (Matrix &B)
	Matrix addition.
Matrix &	Add (Matrix &B)
	Matrix addition.
Matrix &	Subtract (Matrix &A, Matrix &B)
	Matrix subtraction.
Matrix &	operator-= (Matrix &B)
	Matrix subtraction.
Matrix &	Subtract (Matrix &B)
	Matrix subtraction.
Matrix &	Add (double Scalar)
	Adds a scalar in the matrix.
Matrix &	operator+= (double Scalar)
	Adds a scalar in the matrix.
Matrix &	Subtract (double Scalar)
	Subtracts a scalar in the matrix.
Matrix &	operator-= (double Scalar)
	Subtracts a scalar in the matrix.
Matrix &	Multiplicate (double Scalar)
	Multiplies the matrix by a scalar.
Matrix &	operator*= (double Scalar)
	Multiplies the matrix by a scalar.
double	ScalarProduct (Matrix &B)
	Scalar product between matrices.
void	TensorProduct (Matrix &A, Matrix &B)
	Tensor Product between matrices.
double	operator^ (Matrix &B)
	Scalar product between matrices.
Matrix &	Multiplicate (Matrix &A, Matrix &B)
	Matrix Multiplication.
Matrix &	Multiplicate (Matrix &A, SymmetricMatrix &B)
	Multiplication of a matrix by a symmetric matrix.
Matrix &	Multiplicate (SymmetricMatrix &A, Matrix &B)
	Multiplication of a symmetric matrix by a not symmetric matrix.
Matrix &	Multiplicate (SymmetricMatrix &A, SymmetricMatrix &B)
	Matrix Multiplication between two symmetric matrices.
Matrix &	TripleProduct (Matrix &A, Matrix &B)
	Triple product of matrices using full matrix.
void	Save (FILE *File)
	Saves the matrix in a binary file.
void	Save (char *TabName, int Version, char *Filename)
	Saves the matrix in the "acdp" database.
void	Restore (FILE *File)
	Reads the matrix from a binary file.
void	Restore (char *TabName, int Version, char *Filename)
	Reads the matrix from the "acdp" database.
void	Print (FILE *File, char *Title, char *Format)
	Prints the matrix in the file.
void	Print (FILE *File=stdout, const char *Message="", int NumMaxCols=5, int Mant=14, int Dec=7)
	Print matrix in ASCII format by columns.
void	Free ()
	Frees space of memory allocated for the Matrix.
void	GaussSolver (double *U, double *B, double Precision)
	Gauss elimination method.
void	GaussSolver ()
	Matrix triangulation by gauss method.
void	GaussSolver (double *U, double *B)
	Solves system by gauss method through back substitution.
void	GaussSeidel (double *U, double *B, long MaxNumberIter, double Omega, double Precision=1.0e-4, double RelaxFactor=1.81, NormDS_E Norm=EUCLID)
	Iteractive Method of Gauss-Seidel.
Protected Member Functions
void	Alloc (double InitValue=0.0)
	Assigns a value init for each element of the Matrix.
double	scalv (double *x, double *y, unsigned long dim)
	Calculates the product scalar between two vectors.
int	mitgsl (double *vetx, double *ma, double *vetb, long neq, long itmax, double eps, double beta, int codconvg)
	Resolves the system of linear equations by the iterative method of the Gauss - Seidel.
void	prmatba (double *ma, double *mb, long nlina, long ncola, double *mc)
	Multiplies two matrices of the double type stored by rows and pre-multiplies by the transposed of the first matrix.
int	mgausst1 (double *ma, unsigned long neq, long *step, long *vinfopiv, double *auxptr)
	Solves the system of linear equations by the Gaussian Elimination Method details Triangularizes the system matrix by Gaussian Elimination Method using partial pivoting technique. The system matrix and the full matrix are stored by rows.
void	solgauss1 (double *vetx, double *ma, double *vetb, long neq, long *vinfopiv)
	Solves the system of linear equations by the Gaussian Elimination Method.
Protected Attributes
int	GaussFlag
	An integer - Flag to identify the kind of Gauss Method that will be use.
unsigned long	NumLines
	A long integer - Stores number of rows of the matrix.
unsigned long	NumColumns
	A long integer - Stores number of columns of the matrix.
long *	VInfoPiv
	A long integer point - Vector permutations of the Gauss Method.
double *	FMatrix
	Point to double - Elements of the matrix.
double *	AuxPtr
	Point to double - auxiliary vector used to change rows of the matrix during the pivoted step.
char	ExtraMemory [SizeExtraMemM]
	Extra memory used in the memory alignment during allocation of class object.
Friends
Matrix	operator+ (Matrix &A, Matrix &B)
	Matrix addition.
Matrix	operator- (Matrix &A, Matrix &B)
	Matrix subtraction.
Matrix	operator* (Matrix &A, Matrix &B)
	Matrix Multiplication.
Matrix	operator* (Matrix &A, SymmetricMatrix &B)
	Multiplication of a matrix by a symmetric matrix.
Matrix	operator* (SymmetricMatrix &A, Matrix &B)
	Multiplication of a symmetric matrix by a not symmetric matrix.
Matrix	operator* (SymmetricMatrix &A, SymmetricMatrix &B)
	Matrix Multiplication between two symmetric matrices. Ex.: C = Asym * Bsym.
void	Multiplicate (Matrix &A, SymmetricMatrix &B, Matrix &C)
	Runs the operation of multiplication: A = B * C (A and C are full. B is symmetric).

---

Constructor & Destructor Documentation

Matrix::Matrix	(	unsigned long	NumberLines,
		unsigned long	NumberColumns,
		double	InitValue = 0.0
	)

Constructor with parameters.

Initialize the matrix, storing the number of rows, columns and a init value for each element of the matrix.

Parameters:

[in]	NumberLines	- Indicates the number of rows of matrix.
[in]	NumberColumns	- Indicates the number of columns of matrix.
[in]	InitValue	- Value that will be assigned for all elements of matrix.

Matrix::Matrix

(

Matrix &

Instance

)

Copy Constructor.

Parameters:

[in]

Instance

- Matrix type.

Matrix::Matrix

(

FILE *

File

)

Constructor.

Read the matrix values through of an ASCII file.

Parameters:

[in]

File

- A binary file.

Matrix::~Matrix

(

)

---

Member Function Documentation

Matrix & Matrix::Add	(	Matrix &	A,
		Matrix &	B
	)

Matrix addition.

Ex.: C.Add(A, B).

Parameters:

[in]	A.
[in]	B.

Returns:

a Matrix with the sum result of two matrices.

Matrix & Matrix::Add

(

Matrix &

B

)

Matrix addition.

Ex.: A.Add(B).

Returns:

a Matrix with the result of sum the operation "A.Add(B)."

Matrix & Matrix::Add

(

double

Scalar

)

Adds a scalar in the matrix.

Ex.: A.Add(10).

Parameters:

[in]

Scalar

- Scalar value to be added in the matrix.

Returns:

a Matrix with the result of the sum of a Matrix by a scalar.

Matrix & Matrix::Chs

(

)

Inverts the signal of elements of the matrix.

Ex.: A.Chs().

Returns:

a Matrix with the signal of elements inverted.

Matrix & Matrix::Equal

(

Matrix &

Instance

)

Method to assign one object to another. Ex.: A.Equal(B).

Parameters:

[in]

Instance

- Matrix type.

Returns:

Matrix&.

double Matrix::EuclideanNorm

(

)

Returns the euclidean norm.

Returns:

a double type with the euclidean norm value.

void Matrix::GaussSeidel	(	double *	U,
		double *	B,
		long	MaxNumberIter,
		double	Omega,
		double	Precision = 1.0e-4,
		double	RelaxFactor = 1.81,
		NormDS_E	Norm = EUCLID
	)

Iteractive Method of Gauss-Seidel.

Parameters:

[in]	U	- double pointer to answer vector.
[in]	B	- double pointer to independent terms.
[in]	MaxNumberIter	- Maximum number of iterations.
[in]	Omega	- parameter of relaxation.
[in]	Precision	- constant for the convergence test.
[in]	RelaxFactor.
[in]	Norm	- Code to convergence type. 1 - Infinity norm 2 - Euclidean norm.

void Matrix::GaussSolver	(	double *	U,
		double *	B,
		double	Precision
	)

Gauss elimination method.

Modifies the independent terms and makes step of the back substitution.

Parameters:

[in]	U	- double pointer to answer vector.
[in]	B	- double pointer to independent terms.
[in]	Precision.

void Matrix::GaussSolver

(

)

Matrix triangulation by gauss method.

That routine makes the matrix triangulation of the system using partial pivoting technique.

void Matrix::GaussSolver	(	double *	U,
		double *	B
	)

Solves system by gauss method through back substitution.

Parameters:

[in]	U	- double pointer to answer vector.
[in]	B	- double pointer to independent terms.

double & Matrix::GetElement	(	unsigned long	Row,
		unsigned long	Column
	)

Acess the elements and checks if the element (i, j) belongs the matrix.

Parameters:

[in]	Row	- number to access the row of Matrix object.
[in]	Column	- number to access the column of Matrix object.

Returns:

double - Matrix Element.

double & Matrix::GetEndElement

(

)

Acess the last element of the matrix.

Returns:

a double - the last element of matrix.

long Matrix::GetNumberColumns

(

)

Return the number of colums.

Returns:

long type that indicates the number of columns.

unsigned long Matrix::GetNumberElements

(

)

Return the elements number of the matrix.

Returns:

unsigned long type that indicates the number of elements.

long Matrix::GetNumberLines

(

)

Return the number of rows.

Returns:

long type that indicates the number of rows.

void Matrix::GetOrder	(	unsigned long &	NumberLines,
		unsigned long &	NumberColumns
	)

Returns the matrix order.

Parameters:

[out]	NumberLines	- Rows number allocated of matrix.
[out]	NumberColumns	- Columns number allocated of matrix.

void Matrix::Insert	(	Matrix &	SubMatrix,
		long	InitLine = 0,
		long	InitColumn = 0
	)

Insert sub-matrix from the parameters "InitLine" and "InitColumn" in the Matrix.

Parameters:

[in]	SubMatrix	- matrix to be inserted inside another.
[in]	InitLine	- Indicates the initial row the matrix that the sub-matrix should be inserted
[in]	InitColumn	- Indicates the initial column the matrix that the sub-matrix should be inserted

double Matrix::Maximum

(

)

Return the maximum value of the matrix.

Returns:

a double type with value maximum of the matrix.

int Matrix::mgausst1	(	double *	ma,
		unsigned long	neq,
		long *	step,
		long *	vinfopiv,
		double *	auxptr
	)		[protected]

Solves the system of linear equations by the Gaussian Elimination Method details Triangularizes the system matrix by Gaussian Elimination Method using partial pivoting technique. The system matrix and the full matrix are stored by rows.

Parameters:

[in]	*ma	- pointer to the system matrix
[in]	neq	- number of the equations
[in]	*step	- the step 'k' of the proccess of the 'partial pivoting' and 'forward elimination'
[in]	*vinfopiv	- vector of the permutations of the Gauss Method.
[in]	*auxptr	- pointer to the auxiliary vector used to exchange of rows of the matrix 'ma' in the pivoting step.

Returns:

an integer that indicated if is succeeded this step or not.

double Matrix::Minimum

(

)

Return the minimum value of the Matrix.

Returns:

a double type with value minimum of the matrix.

int Matrix::mitgsl	(	double *	vetx,
		double *	ma,
		double *	vetb,
		long	neq,
		long	itmax,
		double	eps,
		double	beta,
		int	codconvg
	)		[protected]

Resolves the system of linear equations by the iterative method of the Gauss - Seidel.

Uses technique of on relaxation. The system matrix is filled stored by rows.

param[in] *vetx - pointer to answer vector. param[in] *ma - pointer to system matrix. param[in] *vetb - pointer to vector of the independent terms. param[in] neq - number of equations param[in] itmax - maximum number of the iterations param[in] eps - constant to convergence test. param[in] beta - parameter the on relaxation. (0 - 2) param[in] codconvg - the code of the type convergence: 1 - euclidean norm. 2 - infinity norm

Returns:

an integer indicated the type convergences

Matrix & Matrix::Multiplicate

(

double

Scalar

)

Multiplies the matrix by a scalar.

Ex.: A.Multiplicate(1.5).

Parameters:

[in]

Scalar

- Scalar value to be multiplied by the matrix.

Returns:

a Matrix with the result of the multiplication of a Matrix by a scalar.

Matrix & Matrix::Multiplicate	(	Matrix &	A,
		Matrix &	B
	)

Matrix Multiplication.

Ex.: C.Multiplicate(A, B).

Parameters:

[in]	A	- a matrix used in multiplication.
[in]	B	- a matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of two matrices.

Matrix & Matrix::Multiplicate	(	Matrix &	A,
		SymmetricMatrix &	B
	)

Multiplication of a matrix by a symmetric matrix.

Ex.: C.Multiplicate(A, Bsym).

Parameters:

[in]	A	- a matrix used in multiplication.
[in]	B	- a symmetric matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of A by B.

Matrix & Matrix::Multiplicate	(	SymmetricMatrix &	A,
		Matrix &	B
	)

Multiplication of a symmetric matrix by a not symmetric matrix.

Ex.: C.Multiplicate(Asym, B).

Parameters:

[in]	A	- a symmetric matrix used in multiplication.
[in]	B	- a matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of A by B.

Matrix & Matrix::Multiplicate	(	SymmetricMatrix &	A,
		SymmetricMatrix &	B
	)

Matrix Multiplication between two symmetric matrices.

Ex.: C.Multiplicate(Asym, Bsym).

Parameters:

[in]	A	- a symmetric matrix used in multiplication.
[in]	B	- a symmetric matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of two symmetric matrices.

double Matrix::Norm1

(

)

Calculates the norm 1 of the Matrix - The absolute value of the maximum sum of columns.

Returns:

a double type with norm-1 one value.

Matrix::operator double *const

(

)

Convertion matrix to double* data type.

Returns:

FMatrix - a double array.

double & Matrix::operator()	(	long	Row,
		long	Column
	)

Acess the elements (Row, Col), without verify the borders.

Returns:

Matrix Element.

Matrix & Matrix::operator*=

(

double

Scalar

)

Multiplies the matrix by a scalar.

Ex.: A *= 1.5.

Parameters:

[in]

Scalar

- Scalar value to be multiplied by the matrix.

Returns:

a Matrix with the result of the multiplication of a Matrix by a scalar.

Matrix & Matrix::operator+=

(

Matrix &

B

)

Matrix addition.

Ex.: A += B.

Parameters:

[in]

B

- a matrix to be sum.

Returns:

a Matrix with the result of the operation "A += B".

Matrix & Matrix::operator+=

(

double

Scalar

)

Adds a scalar in the matrix.

Ex.: A += 10.

Parameters:

[in]

Scalar

- Scalar value to be added in the matrix.

Returns:

a Matrix with the result of the sum of a Matrix by a scalar.

Matrix & Matrix::operator-

(

)

Inverts the signal of elements of the matrix.

Ex.: -A.

Returns:

a Matrix with the signal of elements inverted.

Matrix & Matrix::operator-=

(

Matrix &

B

)

Matrix subtraction.

Ex.: A -= B.

Parameters:

[in]

B

- The matrix to be subtracted.

Returns:

a Matrix with the result of the subtraction of operation "A -= B"

Matrix & Matrix::operator-=

(

double

Scalar

)

Subtracts a scalar in the matrix.

Ex.: A -= 10.

Parameters:

[in]

Scalar

- Scalar value to be subtracted in the matrix.

Returns:

a Matrix with the result of the subtraction of a Matrix by a scalar.

Matrix & Matrix::operator=

(

Matrix &

Instance

)

Assignment operation.

Ex.: A = B.

Parameters:

[in]

Instance

- Matrix type.

Returns:

Matrix&.

double Matrix::operator^

(

Matrix &

B

)

Scalar product between matrices.

Ex.: r = A ^ B.

Parameters:

[in]

B.

Returns:

a double type with value scalar product between two matrices.

void Matrix::Print	(	FILE *	File,
		char *	Title,
		char *	Format
	)

Prints the matrix in the file.

Ex.: A.Print(fp, "matrix", "%7.2lf").

Parameters:

[in]	File	- the file where will be printed the matrix data.
[in]	Title	- this a header to indicate a operation type.
[in]	Format	- the data format to be printed.

void Matrix::Print	(	FILE *	File = stdout,
		const char *	Message = "",
		int	NumMaxCols = 5,
		int	Mant = 14,
		int	Dec = 7
	)

Print matrix in ASCII format by columns.

Ex.: A.Print(fp, "matrix", 4, 7, 2).

Parameters:

[in]	File	- the file where will be printed the matrix data. (the default is stdout)
[in]	Message	- Indicates the operation type that was run.
[in]	NumMaxCols	- the maximum value of columns that can printed by row.
[in]	Mant	- Indicates the space size that should have between columns.
[in]	Dec	- Indicates the size of the decimal part to be printed.

void Matrix::prmatba	(	double *	ma,
		double *	mb,
		long	nlina,
		long	ncola,
		double *	mc
	)		[protected]

Multiplies two matrices of the double type stored by rows and pre-multiplies by the transposed of the first matrix.

Example: C = AT * B * A

Parameters:

[in]	*ma	- pointer to the 'ma' matrix.
[in]	*mb	- pointer to the 'mb' matrix.
[in]	nlina	- number of rows of the 'ma' matrix.
[in]	ncola	- number of rows of the 'ma' matrix.
[out]	*mc	- pointer to the resulting matrix

Matrix & Matrix::Product	(	double *	A,
		unsigned long	N,
		double	b = 1.0
	)

@ brief: Array multiplication. The size of the array is not necessarily the same of A.

Ex.: C.Product(A, N).

Parameters:

[in]	A	- Array.
[in]	N	- Size of A.
[in]	b	- Scalar value. the multiplication Atranspose*A of a double *A array.

void Matrix::Reset

(

double

Value = 0.0

)

Reinitializes the Matrix Elements.

Parameters:

[in]

Value

- Used to initialize the elements of matrix.

void Matrix::Restore

(

FILE *

File

)

Reads the matrix from a binary file.

Parameters:

[in]

File

- the binary file where the matrix will read.

void Matrix::Restore	(	char *	TabName,
		int	Version,
		char *	Filename
	)

Reads the matrix from the "acdp" database.

Parameters:

[in]	TabName	- the table name of the database to read matrix data.
[in]	Version	- the version of the read data.
[in]	Filename	- Stores the database name.

void Matrix::Save

(

FILE *

File

)

Saves the matrix in a binary file.

Parameters:

[in]

File

- the file to save the matrix data.

void Matrix::Save	(	char *	TabName,
		int	Version,
		char *	Filename
	)

Saves the matrix in the "acdp" database.

Parameters:

[in]	TabName	- the table name of the database to saved matrix data.
[in]	Version	- the version of the update data.
[in]	Filename	- Stores the database name.

double Matrix::ScalarProduct

(

Matrix &

B

)

Scalar product between matrices.

Ex.: r = A.ScalarProduct(B).

Parameters:

[in]

Scalar

- Scalar value to be multiplied by the matrix.

Returns:

a Matrix with the result of the multiplication of a Matrix by a scalar.

double Matrix::scalv	(	double *	x,
		double *	y,
		unsigned long	dim
	)		[protected]

Calculates the product scalar between two vectors.

Parameters:

[in]	*x	- first vector.
[in]	*y	- second vector.
[in]	dim	- dimension of vector x and y.

Returns:

a double - the value of the product scalar between vectors x and y.

void Matrix::SetElement	(	long	Row,
		long	Column,
		double	Element
	)

Acess the elements and checks if the element (i, j) belongs the matrix.

Parameters:

[in]	Row	- to access row of Matrix.
[in]	Col	- to access column of Matrix.
[in]	Element	- Element value of the double type.

void Matrix::SetOrder	(	unsigned long	NumberLines = 0,
		unsigned long	NumberColumns = 0,
		double	InitValue = 0.0
	)

Initialized the matrix order.

Parameters:

[in]	NumberLines	- Row number to matrix.
[in]	NumberColumns	- Columns number to matrix.
[in]	InitValue	- Initial value stored to all positions of matrix.

long Matrix::SizeOf

(

)

Return the bytes number occuped by the matrix.

Returns:

the size in bytes of matrix object.

void Matrix::solgauss1	(	double *	vetx,
		double *	ma,
		double *	vetb,
		long	neq,
		long *	vinfopiv
	)		[protected]

Solves the system of linear equations by the Gaussian Elimination Method.

Solves the system of linear equations with multiples vectors of there independent terms of the Gaussian Elimination used partial pivoting technique and performing modification in the independent term according to with the result of the 'mgausst1' function and runs the step of the 'back substitution'

Parameters:

[out]	*vetx	- pointer to the answer vector.
[in]	*ma	- pointer to the system matrix modified.
[in]	*vetb	- pointer to the vector of the independent terms.
[in]	neq	- number of equations.
[in]	*vinfopiv	- vector of the permutations of the Gauss Method.

Matrix & Matrix::Subtract	(	Matrix &	A,
		Matrix &	B
	)

Matrix subtraction.

Ex.: C.Subtract(A, B).

Parameters:

[in]	A.
[in]	B.

Returns:

a Matrix with the result of the subtract of A by B.

Matrix & Matrix::Subtract

(

Matrix &

B

)

Matrix subtraction.

Ex.: A.Subtract(B).

Parameters:

[in]

B

- the matrix to be subtracted.

Returns:

a Matrix with the result of the subtraction of operation "A -= B"

Matrix & Matrix::Subtract

(

double

Scalar

)

Subtracts a scalar in the matrix.

Ex.: A.Subtract(10).

Parameters:

[in]

Scalar

- Scalar value to be subtracted in the matrix.

Returns:

a Matrix with the result of the subtraction of a Matrix by a scalar.

void Matrix::TensorProduct	(	Matrix &	A,
		Matrix &	B
	)

Tensor Product between matrices.

Ex.: Mat_C.TensorProduct(Mat_A, Mat_B)

Parameters:

[in]	A	- matrix type.
[in]	B	- matrix type.

void Matrix::Transpose

(

Matrix &

Transpost

)

Transposed Matrix.

Parameters:

[out]

Transpost

- Stores the transposed matrix.

Matrix & Matrix::TripleProduct	(	Matrix &	A,
		Matrix &	B
	)

Triple product of matrices using full matrix.

Ex.: C.TripleProduct(A, B).

Parameters:

[in]	A	- the matrix to be multiplicated.
[in]	B	- the matrix to be multiplicated.

Returns:

Matrix Multiplication between three matrices "(this * A * B)".

---

Friends And Related Function Documentation

void Multiplicate	(	Matrix &	A,
		SymmetricMatrix &	B,
		Matrix &	C
	)		[friend]

Runs the operation of multiplication: A = B * C (A and C are full. B is symmetric).

Parameters:

[in]	B	- the symmetric matrix to be multiplicated.
[in]	C	- the matrix to be multiplicated.
[out]	A	- the matrix that stores the result of multiplication.

Matrix operator*	(	Matrix &	A,
		Matrix &	B
	)		[friend]

Matrix Multiplication.

Ex.: C = A * B;

Parameters:

[in]	A	- a matrix used in multiplication.
[in]	B	- a matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of two matrices.

Matrix operator*	(	Matrix &	A,
		SymmetricMatrix &	B
	)		[friend]

Multiplication of a matrix by a symmetric matrix.

Ex.: C = A * B.

Parameters:

[in]	A	- a matrix used in multiplication.
[in]	B	- a symmetric matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of A by B.

Matrix operator*	(	SymmetricMatrix &	A,
		Matrix &	B
	)		[friend]

Multiplication of a symmetric matrix by a not symmetric matrix.

Ex.: C = Asym * B.

Parameters:

[in]	A	- a symmetric matrix used in multiplication.
[in]	B	- a matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of A by B.

Matrix operator*	(	SymmetricMatrix &	A,
		SymmetricMatrix &	B
	)		[friend]

Matrix Multiplication between two symmetric matrices. Ex.: C = Asym * Bsym.

Parameters:

[in]	A	- a symmetric matrix used in multiplication.
[in]	B	- a symmetric matrix used in multiplication.

Returns:

a Matrix with the result of the multiplication of two symmetric matrices.

Matrix operator+	(	Matrix &	A,
		Matrix &	B
	)		[friend]

Matrix addition.

Ex.: C = A + B.

Parameters:

[in]	A.
[in]	B.

Returns:

C - a Matrix with the sum result of two matrices.

Matrix operator-	(	Matrix &	A,
		Matrix &	B
	)		[friend]

Matrix subtraction.

Ex.: C = A - B.

Parameters:

[in]	A.
[in]	B.

Returns:

a Matrix with the result of the subtract of A by B.

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Member Data Documentation

int Matrix::GaussFlag [protected]

An integer - Flag to identify the kind of Gauss Method that will be use.

Value 1 to triangularized matrix.

unsigned long Matrix::NumColumns [protected]

A long integer - Stores number of columns of the matrix.

Details of Optimization: Use of the "unsigned" for number not negative.

unsigned long Matrix::NumLines [protected]

A long integer - Stores number of rows of the matrix.

Details of Optimization: Use of the "unsigned" for number not negative.

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

• include/ds/Matrix.h
• src/ds/Matrix.cpp