YANE-Framework 1.1.0
Public Member Functions | Protected Attributes | Static Protected Attributes

yane::EqSys::Gauss Class Reference

Class of the Gauss Method for linear equation systems. More...

Inheritance diagram for yane::EqSys::Gauss:
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List of all members.

Public Member Functions

void backwardSolution (double *x)
 Method to solve an upper triangular linear equation system.
void decomposition (void)
 Method to compute the Gauss decomposition.
int dimensionColumns ()
 Method to obtain the column dimension of the system matrix.
int dimensionRows ()
 Method to obtain the row dimension of the system matrix.
void exchangeRows (int i, int j)
 Method to exchange rows within the matrix.
 Gauss ()
 Constructor.
void initialize (double *A, int dimensionRows, int dimensionColumns, double *b, int dimensionB)
 Method to initialize the linear equation problem.
void initializeLargescale (double **A, int dimensionRows, int dimensionColumns, double *b, int dimensionB)
 Method to initialize the linear equation problem.
void solve (double *x)
 Method to solve the linear equation problem.
 ~Gauss ()
 Destructor.

Protected Attributes

double * _A
 System matrix stored by line in a large vector.
double ** _A_largescale
 System matrix with double pointers for large scale matrices.
double * _b
 Data vector of the problem.
int _dimensionB
 Dimension of data vector.
int _dimensionColumns
 Column dimension of the system matrix.
int _dimensionRows
 Row dimension of the system matrix.
bool _initialized
 Decision variable on initialization status of the linear equation problem.
bool _largescale
 Decision variable whether large scale solution methods shall be used.

Static Protected Attributes

static const double _epsilon = 1e-12
 Constant to check for numerical singularity of the system matrix.

Detailed Description

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Member Function Documentation

LIB_EXPORT void yane::EqSys::DirectMethods::backwardSolution ( double *  x) [inherited]

Method to solve an upper triangular linear equation system

Parameters:
xSolution vector of the problems
LIB_EXPORT void yane::EqSys::Gauss::decomposition ( void  ) [virtual]

Method to compute the Gauss decomposition

Exceptions:
yane::Utils::NotInitializedExceptionis thrown if the linear equation problem is not initialized
yane::Utils::IndexExceptionis thrown if the matrix is not quadratic
yane::Utils::Exceptionis thrown if matrix is numerically singular

Implements yane::EqSys::DirectMethods.

LIB_EXPORT int yane::EqSys::LinearEquations::dimensionColumns ( ) [inherited]

Method to obtain the column dimension of the system matrix

Returns:
Column dimension of the system matrix
LIB_EXPORT int yane::EqSys::LinearEquations::dimensionRows ( ) [inherited]

Method to obtain the row dimension of the system matrix

Returns:
Row dimension of the system matrix
LIB_EXPORT void yane::EqSys::Gauss::exchangeRows ( int  i,
int  j 
)

Method to exchange rows within the matrix

Parameters:
iRow index i
jRow index j
LIB_EXPORT void yane::EqSys::LinearEquations::initialize ( double *  A,
int  dimensionRows,
int  dimensionColumns,
double *  b,
int  dimensionB 
) [inherited]

Method to initialize the linear equation problem

Parameters:
ASystem matrix
dimensionRowsRow dimension of the system matrix
dimensionColumnsColumn dimension of the system matrix
bData vector of the problem
dimensionBDimension of the data vector
Exceptions:
ValueExceptionis thrown if row dimension of the matrix and dimension of the data vector are not identical
LIB_EXPORT void yane::EqSys::LinearEquations::initializeLargescale ( double **  A,
int  dimensionRows,
int  dimensionColumns,
double *  b,
int  dimensionB 
) [inherited]

Method to initialize the linear equation problem

Parameters:
ASystem matrix
dimensionRowsRow dimension of the system matrix
dimensionColumnsColumn dimension of the system matrix
bData vector of the problem
dimensionBDimension of the data vector
Exceptions:
ValueExceptionis thrown if row dimension of the matrix and dimension of the data vector are not identical
LIB_EXPORT void yane::EqSys::DirectMethods::solve ( double *  x) [virtual, inherited]

Method to solve the linear equation problem

Parameters:
xSolution vector of the problem
Exceptions:
yane::Utils::NotInitializedExceptionis thrown if the linear equation problem has not been initialized
yane::Utils::Exceptionis thrown if the decomposition matrix could not be computed

Implements yane::EqSys::LinearEquations.

Reimplemented in yane::EqSys::Cholesky.