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GMatrixBase Class Referenceabstract

Abstract matrix base class interface definition. More...

#include <GMatrixBase.hpp>

Inheritance diagram for GMatrixBase:
GBase GMatrix GMatrixSparse GMatrixSymmetric

Public Member Functions

 GMatrixBase (void)
 Void constructor. More...
 
 GMatrixBase (const GMatrixBase &matrix)
 Copy constructor. More...
 
virtual ~GMatrixBase (void)
 Destructor. More...
 
virtual double & operator() (const int &row, const int &column)=0
 
virtual const double & operator() (const int &row, const int &column) const =0
 
virtual GVector operator* (const GVector &vector) const =0
 
virtual GMatrixBaseoperator= (const GMatrixBase &matrix)
 Assignment operator. More...
 
virtual bool operator== (const GMatrixBase &matrix) const
 Equalty operator. More...
 
virtual bool operator!= (const GMatrixBase &matrix) const
 Non-equality operator. More...
 
virtual void clear (void)=0
 Clear object. More...
 
virtual GMatrixBaseclone (void) const =0
 Clones object. More...
 
virtual std::string classname (void) const =0
 Return class name. More...
 
virtual double & at (const int &row, const int &column)=0
 
virtual const double & at (const int &row, const int &column) const =0
 
virtual GVector row (const int &row) const =0
 
virtual void row (const int &row, const GVector &vector)=0
 
virtual GVector column (const int &column) const =0
 
virtual void column (const int &column, const GVector &vector)=0
 
virtual void add_to_row (const int &row, const GVector &vector)=0
 
virtual void add_to_column (const int &column, const GVector &vector)=0
 
virtual double fill (void) const =0
 
virtual double min (void) const =0
 
virtual double max (void) const =0
 
virtual double sum (void) const =0
 
virtual std::string print (const GChatter &chatter=NORMAL) const =0
 Print content of object. More...
 
const int & size (void) const
 Return number of matrix elements. More...
 
const int & columns (void) const
 Return number of matrix columns. More...
 
const int & rows (void) const
 Return number of matrix rows. More...
 
- Public Member Functions inherited from GBase
virtual ~GBase (void)
 Destructor. More...
 

Protected Member Functions

void init_members (void)
 Initialise class members. More...
 
void copy_members (const GMatrixBase &matrix)
 Copy class members. More...
 
void free_members (void)
 Delete class members. More...
 
void select_non_zero (void)
 Setup compressed matrix factorisation. More...
 
void scale_elements (const double &scalar)
 Scale all matrix elements with a scalar. More...
 
void set_all_elements (const double &value)
 Set all elements to a specific value. More...
 
double get_min_element (void) const
 Return minimum matrix element. More...
 
double get_max_element (void) const
 Returns maximum matrix element. More...
 
double get_element_sum (void) const
 Returns sum over all matrix elements. More...
 
std::string print_elements (const GChatter &chatter=NORMAL, const int &num=15) const
 Print all matrix elements. More...
 
std::string print_row_compression (const GChatter &chatter=NORMAL) const
 Print row compression scheme if it exists. More...
 
std::string print_col_compression (const GChatter &chatter=NORMAL) const
 Print column compression scheme if it exists. More...
 

Protected Attributes

int m_rows
 Number of rows. More...
 
int m_cols
 Number of columns. More...
 
int m_elements
 Number of elements stored in matrix. More...
 
int m_alloc
 Size of allocated matrix memory. More...
 
int m_num_rowsel
 Number of selected rows (for compressed decomposition) More...
 
int m_num_colsel
 Number of selected columns (for compressed decomposition) More...
 
int * m_colstart
 Column start indices (m_cols+1) More...
 
int * m_rowsel
 Row selection (for compressed decomposition) More...
 
int * m_colsel
 Column selection (for compressed decomposition) More...
 
double * m_data
 Matrix data. More...
 

Detailed Description

Abstract matrix base class interface definition.

This class provides the abstract interface for all matrix classes. A GammaLib matrix is a two dimensional array of double precision values that is commonly used for linear algebra computations.

The matrix classes were designed in a manner so that matrices can be used in a natural syntax that is comparable to the syntax used for scalar values. In particular, the following matrix operations are available:

assigned_matrix     = matrix;
assigned_matrix     = value;
added_matrix        = matrix1 + matrix2;
added_matrix       += matrix;
subtracted_matrix   = matrix1 - matrix2;
subtracted_matrix  -= matrix;
multiplied_matrix   = matrix1 * matrix2;
multiplied_matrix  *= matrix;
scaled_matrix       = matrix * scale;
scaled_matrix       = scale * matrix;
scaled_matrix      *= scale;
divided_matrix      = matrix / factor;
divided_matrix     /= factor;
negated_matrix      = -matrix;

where matrix, matrix1 and matrix2 are matrices, and value, scale and factor are double precision values. For the value assignment operator, each matrix element is assigned the specified value. For the scaling and division operators, every matrix element is multiplied or divided by the specified value.

Matrices can also be compared using

if (matrix == another_matrix) ...
if (matrix != another_matrix) ...

where identify is defined as having the same number of rows and columns and every element having the same value.

Matrix elements are accessed using the access operators or the at() methods

double element = matrix(row, column);
double element = matrix.at(row, column);

the difference being that the access operators do NOT but the at() methods do perform validity checking of the row and column arguments. Access operators and at() methods exist for non-const and const references.

For more efficient matrix access, methods operating on matrix rows and columns are available. The

GVector row    = matrix.row(index);
GVector column = matrix.column(index);

methods return a row or a column in a GVector object, while the

GVector row;
GVector column;
...
matrix.row(index, row);
matrix.column(index, column);

store a row or a column provided by a GVector object into the matrix. Obviously, the vector needs to be of the same size as the number of rows or columns available in the matrix. Adding of matrix elements row-by-row or column-by-column is done using the

matrix.add_to_row(index, row);
matrix.add_to_column(index, column);

methods.

Matrix multiplication with a vector is done using

GVector vector;
...
GVector product = matrix * vector;

where the size of vector needs to be identical to the number of columns in the matrix.

Furthermore, the following methods exist for matrix transformations:

new_matrix = matrix.transpose();    // Transposes matrix
new_matrix = matrix.invert();       // Inverts matrix
new_vector = matrix.solve(vector);  // Solves linear matrix equation
new_matrix = matrix.abs();          // Returns matrix with all elements replaced by their absolute values

The following methods allow to access matrix attributes:

matrix.fill();     // Percentage of non-zero elements in matrix [0,1]
matrix.min();      // Minimum matrix element
matrix.max();      // Maximum matrix element
matrix.sum();      // Sum of all matrix elements
matrix.rows();     // Number of rows in matrix
matrix.columns();  // Number of columns in matrix
matrix.size();     // Number of elements in matrix

Definition at line 138 of file GMatrixBase.hpp.

Constructor & Destructor Documentation

GMatrixBase::GMatrixBase ( void  )

Void constructor.

Definition at line 51 of file GMatrixBase.cpp.

References init_members().

GMatrixBase::GMatrixBase ( const GMatrixBase matrix)

Copy constructor.

Parameters
[in]matrixMatrix.

Constructs matrix by copying information from another matrix. The constructor is sufficiently generic to provide the base constructor for all derived classes, including sparse matrices.

Definition at line 70 of file GMatrixBase.cpp.

References copy_members(), and init_members().

GMatrixBase::~GMatrixBase ( void  )
virtual

Destructor.

Definition at line 86 of file GMatrixBase.cpp.

References free_members().

Member Function Documentation

virtual void GMatrixBase::add_to_column ( const int &  column,
const GVector vector 
)
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual void GMatrixBase::add_to_row ( const int &  row,
const GVector vector 
)
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual double& GMatrixBase::at ( const int &  row,
const int &  column 
)
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual const double& GMatrixBase::at ( const int &  row,
const int &  column 
) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual std::string GMatrixBase::classname ( void  ) const
pure virtual

Return class name.

Returns
String containing the class name.

Returns the class name for non-abstract classes in a human readable way.

Implements GBase.

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual void GMatrixBase::clear ( void  )
pure virtual

Clear object.

Sets the object to a clean initial state. After calling the method the object will be in the same state as it were if an empty instance of the object would have been created.

Implements GBase.

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual GMatrixBase* GMatrixBase::clone ( void  ) const
pure virtual

Clones object.

Returns
Pointer to deep copy of object.

Creates a deep copy of the object and returns a pointer to the object.

Implements GBase.

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual GVector GMatrixBase::column ( const int &  column) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual void GMatrixBase::column ( const int &  column,
const GVector vector 
)
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

const int & GMatrixBase::columns ( void  ) const
inline
void GMatrixBase::copy_members ( const GMatrixBase matrix)
protected

Copy class members.

Parameters
[in]matrixMatrix.

Definition at line 217 of file GMatrixBase.cpp.

References m_alloc, m_cols, m_colsel, m_colstart, m_data, m_elements, m_num_colsel, m_num_rowsel, m_rows, and m_rowsel.

Referenced by GMatrixBase(), and operator=().

virtual double GMatrixBase::fill ( void  ) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

void GMatrixBase::free_members ( void  )
protected

Delete class members.

Definition at line 282 of file GMatrixBase.cpp.

References m_colsel, m_colstart, m_data, and m_rowsel.

Referenced by GMatrix::eulerx(), GMatrix::eulery(), GMatrix::eulerz(), operator=(), and ~GMatrixBase().

double GMatrixBase::get_element_sum ( void  ) const
protected

Returns sum over all matrix elements.

Definition at line 481 of file GMatrixBase.cpp.

References m_data, and m_elements.

Referenced by GMatrix::sum().

double GMatrixBase::get_max_element ( void  ) const
protected

Returns maximum matrix element.

Returns
Maximum element in matrix.

Returns the maximum matrix element. If the matrix is empty, returns 0.

Definition at line 453 of file GMatrixBase.cpp.

References m_data, and m_elements.

Referenced by GMatrixSymmetric::max(), and GMatrix::max().

double GMatrixBase::get_min_element ( void  ) const
protected

Return minimum matrix element.

Returns
Minimum element in matrix.

Returns the minimum matrix element. If the matrix is empty, returns 0.

Definition at line 421 of file GMatrixBase.cpp.

References m_data, and m_elements.

Referenced by GMatrixSymmetric::min(), and GMatrix::min().

void GMatrixBase::init_members ( void  )
protected

Initialise class members.

Definition at line 193 of file GMatrixBase.cpp.

References m_alloc, m_cols, m_colsel, m_colstart, m_data, m_elements, m_num_colsel, m_num_rowsel, m_rows, and m_rowsel.

Referenced by GMatrix::eulerx(), GMatrix::eulery(), GMatrix::eulerz(), GMatrixBase(), and operator=().

virtual double GMatrixBase::max ( void  ) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual double GMatrixBase::min ( void  ) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

bool GMatrixBase::operator!= ( const GMatrixBase matrix) const
virtual

Non-equality operator.

Parameters
[in]matrixMatrix.
Returns
True if both matrices are different.

Checks if two matrices are different. Two matrices are considered different if they either have different dimensions or at least one element that differs.

Definition at line 174 of file GMatrixBase.cpp.

References operator==().

virtual double& GMatrixBase::operator() ( const int &  row,
const int &  column 
)
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual const double& GMatrixBase::operator() ( const int &  row,
const int &  column 
) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

virtual GVector GMatrixBase::operator* ( const GVector vector) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

GMatrixBase & GMatrixBase::operator= ( const GMatrixBase matrix)
virtual

Assignment operator.

Parameters
[in]matrixMatrix.
Returns
Matrix.

Definition at line 108 of file GMatrixBase.cpp.

References copy_members(), free_members(), and init_members().

Referenced by GMatrixSymmetric::operator=(), GMatrix::operator=(), and GMatrixSparse::operator=().

bool GMatrixBase::operator== ( const GMatrixBase matrix) const
virtual

Equalty operator.

Parameters
[in]matrixMatrix.
Returns
True if both matrices are identical.

Checks if two matrices are identical. Two matrices are considered identical if they have the same dimensions and identical elements.

Definition at line 138 of file GMatrixBase.cpp.

References m_cols, m_data, m_elements, and m_rows.

Referenced by operator!=().

virtual std::string GMatrixBase::print ( const GChatter chatter = NORMAL) const
pure virtual

Print content of object.

Parameters
[in]chatterChattiness (defaults to NORMAL).
Returns
String containing the content of the object.

Formats the content in a standard way and puts this content in a C++ string that is returned.

Implements GBase.

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

std::string GMatrixBase::print_col_compression ( const GChatter chatter = NORMAL) const
protected

Print column compression scheme if it exists.

Parameters
[in]chatterChattiness (defaults to NORMAL).

Definition at line 613 of file GMatrixBase.cpp.

References m_colsel, m_num_colsel, gammalib::parformat(), and gammalib::str().

Referenced by GMatrixSymmetric::print(), GMatrix::print(), and GMatrixSparse::print().

std::string GMatrixBase::print_elements ( const GChatter chatter = NORMAL,
const int &  num = 15 
) const
protected

Print all matrix elements.

Parameters
[in]chatterChattiness (defaults to NORMAL).
[in]numMaximum number of rows and columns to print (default: 10)

Prints all matrix elements into a string. The parameter max_elements allows to control the maximum number of matrix elements that should be printed. If set to 0, all elements will be printed. Otherwise, the number of rows and columns will be limited by ommitting the central values.

Definition at line 507 of file GMatrixBase.cpp.

References m_cols, m_rows, row(), and gammalib::str().

Referenced by GMatrixSymmetric::print(), GMatrix::print(), and GMatrixSparse::print().

std::string GMatrixBase::print_row_compression ( const GChatter chatter = NORMAL) const
protected

Print row compression scheme if it exists.

Parameters
[in]chatterChattiness (defaults to NORMAL).

Definition at line 589 of file GMatrixBase.cpp.

References m_num_rowsel, m_rowsel, gammalib::parformat(), row(), and gammalib::str().

Referenced by GMatrixSymmetric::print(), GMatrix::print(), and GMatrixSparse::print().

virtual GVector GMatrixBase::row ( const int &  row) const
pure virtual
virtual void GMatrixBase::row ( const int &  row,
const GVector vector 
)
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

const int & GMatrixBase::rows ( void  ) const
inline
void GMatrixBase::scale_elements ( const double &  scalar)
protected

Scale all matrix elements with a scalar.

Parameters
[in]scalarScalar.

Multiply all matrix elements with a scalar. There are three cases:

  • the multiplier is 0, then reset all elements to 0,
  • the multiplier is +/-1, then do nothing or negate,
  • in any other case, multiply by multiplier.

Definition at line 367 of file GMatrixBase.cpp.

References abs(), m_data, and m_elements.

Referenced by GMatrixSymmetric::operator*=(), GMatrix::operator*=(), and GMatrixSparse::operator*=().

void GMatrixBase::select_non_zero ( void  )
protected

Setup compressed matrix factorisation.

Determines the non-zero rows and columns in matrix and set up index arrays that point to these rows/columns. These arrays are used for compressed matrix factorisations.

Definition at line 308 of file GMatrixBase.cpp.

References m_cols, m_colsel, m_num_colsel, m_num_rowsel, m_rows, m_rowsel, and row().

Referenced by GMatrixSparse::remove_zero_row_col().

void GMatrixBase::set_all_elements ( const double &  value)
protected

Set all elements to a specific value.

Parameters
[in]valueValue.

Sets all matrix elements to a specific value.

Definition at line 402 of file GMatrixBase.cpp.

References m_data, and m_elements.

const int & GMatrixBase::size ( void  ) const
inline

Return number of matrix elements.

Returns
Number of matrix elements.

Returns the number of matrix elements that are stored in the matrix.

Definition at line 217 of file GMatrixBase.hpp.

References m_elements.

Referenced by GMatrixSparse::fill().

virtual double GMatrixBase::sum ( void  ) const
pure virtual

Implemented in GMatrixSparse, GMatrix, and GMatrixSymmetric.

Member Data Documentation

int GMatrixBase::m_cols
protected

Number of columns.

Definition at line 197 of file GMatrixBase.hpp.

Referenced by GMatrixSymmetric::abs(), GMatrix::abs(), GMatrixSymmetric::add_to_column(), GMatrix::add_to_column(), GMatrixSparse::add_to_column(), GMatrix::add_to_row(), GMatrixSymmetric::alloc_members(), GMatrix::alloc_members(), GMatrixSparse::alloc_members(), GMatrixSymmetric::at(), GMatrix::at(), GMatrixSparse::at(), GMatrixSymmetric::cholesky_decompose(), GMatrixSparse::cholesky_decompose(), GMatrixSymmetric::cholesky_invert(), GMatrixSparse::cholesky_invert(), GSparseNumeric::cholesky_numeric_analysis(), GMatrixSymmetric::cholesky_solver(), GMatrixSparse::cholesky_solver(), GSparseSymbolic::cholesky_symbolic_analysis(), GMatrixSymmetric::column(), GMatrix::column(), GMatrixSparse::column(), columns(), GMatrixSymmetric::copy_members(), copy_members(), GSparseSymbolic::cs_amd(), GSparseSymbolic::cs_counts(), GSparseNumeric::cs_ereach(), GSparseSymbolic::cs_etree(), GSparseSymbolic::cs_fkeep(), cs_symperm(), cs_transpose(), GMatrixSymmetric::extract_lower_triangle(), GMatrix::extract_lower_triangle(), GMatrixSymmetric::extract_upper_triangle(), GMatrix::extract_upper_triangle(), GMatrixSymmetric::fill(), GMatrixSparse::fill(), GMatrixSparse::fill_pending(), GMatrix::GMatrix(), GMatrixSparse::GMatrixSparse(), GMatrixSymmetric::GMatrixSymmetric(), GSparseSymbolic::init_ata(), init_members(), GMatrixSparse::insert_zero_row_col(), GMatrixSymmetric::invert(), GMatrix::invert(), GMatrixSparse::max(), GMatrixSparse::min(), GMatrixSymmetric::operator*(), GMatrix::operator*(), GMatrixSparse::operator*(), GMatrix::operator*=(), GMatrixSparse::operator*=(), GMatrixSymmetric::operator+=(), GMatrix::operator+=(), GMatrixSparse::operator+=(), GMatrixSymmetric::operator-=(), GMatrix::operator-=(), GMatrixSparse::operator-=(), GMatrixSparse::operator=(), operator==(), GMatrixSparse::operator==(), GMatrixSymmetric::print(), GMatrix::print(), GMatrixSparse::print(), print_elements(), GMatrixSparse::remove_zero_row_col(), GMatrixSymmetric::row(), GMatrix::row(), GMatrixSparse::row(), select_non_zero(), GMatrixSymmetric::set_inx(), GMatrixSparse::stack_flush(), GMatrixSparse::stack_init(), GMatrixSparse::stack_push_column(), GMatrixSymmetric::sum(), and GMatrix::transpose().

double* GMatrixBase::m_data
protected

Matrix data.

Definition at line 205 of file GMatrixBase.hpp.

Referenced by GMatrixSymmetric::abs(), GMatrix::abs(), GMatrixSparse::abs(), GMatrix::add_to_column(), GMatrixSparse::add_to_column(), GMatrix::add_to_row(), GMatrixSparse::alloc_elements(), GMatrixSymmetric::alloc_members(), GMatrix::alloc_members(), GMatrixSymmetric::at(), GMatrix::at(), GMatrixSymmetric::cholesky_decompose(), GMatrixSparse::cholesky_decompose(), GMatrixSymmetric::cholesky_invert(), GSparseNumeric::cholesky_numeric_analysis(), GMatrixSymmetric::cholesky_solver(), GMatrixSparse::cholesky_solver(), GMatrix::column(), GMatrixSparse::column(), copy_members(), GSparseSymbolic::cs_fkeep(), cs_symperm(), cs_transpose(), GMatrixSymmetric::extract_lower_triangle(), GMatrix::extract_lower_triangle(), GMatrixSymmetric::extract_upper_triangle(), GMatrix::extract_upper_triangle(), GMatrixSymmetric::fill(), GMatrix::fill(), GMatrixSparse::fill_pending(), GMatrixSparse::free_elements(), free_members(), get_element_sum(), get_max_element(), get_min_element(), init_members(), GMatrixSparse::max(), GMatrixSparse::min(), GMatrixSymmetric::operator()(), GMatrix::operator()(), GMatrixSparse::operator()(), GMatrix::operator*(), GMatrixSparse::operator*(), GMatrixSymmetric::operator+=(), GMatrix::operator+=(), GMatrixSymmetric::operator-(), GMatrix::operator-(), GMatrixSparse::operator-(), GMatrixSymmetric::operator-=(), GMatrix::operator-=(), GMatrixSymmetric::operator=(), GMatrix::operator=(), operator==(), GMatrixSparse::remove_zero_row_col(), GMatrix::row(), GMatrixSparse::row(), scale_elements(), set_all_elements(), GMatrixSymmetric::set_inx(), GMatrixSparse::stack_flush(), GMatrixSymmetric::sum(), and GMatrixSparse::sum().

int GMatrixBase::m_num_rowsel
protected
int GMatrixBase::m_rows
protected

Number of rows.

Definition at line 196 of file GMatrixBase.hpp.

Referenced by GMatrixSymmetric::abs(), GMatrix::abs(), GMatrixSymmetric::add_to_column(), GMatrix::add_to_column(), GMatrixSparse::add_to_column(), GMatrixSymmetric::add_to_row(), GMatrix::add_to_row(), GMatrixSparse::add_to_row(), GMatrixSymmetric::alloc_members(), GMatrix::alloc_members(), GMatrixSparse::alloc_members(), GMatrixSymmetric::at(), GMatrix::at(), GMatrixSparse::at(), GMatrixSymmetric::cholesky_decompose(), GMatrixSparse::cholesky_decompose(), GMatrixSymmetric::cholesky_invert(), GMatrixSparse::cholesky_invert(), GMatrixSymmetric::cholesky_solver(), GMatrixSparse::cholesky_solver(), GSparseSymbolic::cholesky_symbolic_analysis(), GMatrixSymmetric::column(), GMatrix::column(), GMatrixSparse::column(), copy_members(), GSparseSymbolic::cs_amd(), GSparseSymbolic::cs_counts(), GSparseSymbolic::cs_etree(), cs_transpose(), GMatrixSymmetric::extract_lower_triangle(), GMatrix::extract_lower_triangle(), GMatrixSymmetric::extract_upper_triangle(), GMatrix::extract_upper_triangle(), GMatrixSymmetric::fill(), GMatrixSparse::fill(), GMatrix::GMatrix(), GMatrixSymmetric::GMatrixSymmetric(), GSparseSymbolic::init_ata(), init_members(), GMatrixSparse::insert_zero_row_col(), GMatrixSymmetric::invert(), GMatrix::invert(), GMatrixSparse::max(), GMatrixSparse::min(), GMatrixSymmetric::operator*(), GMatrix::operator*(), GMatrixSparse::operator*(), GMatrix::operator*=(), GMatrixSparse::operator*=(), GMatrixSymmetric::operator+=(), GMatrix::operator+=(), GMatrixSparse::operator+=(), GMatrixSymmetric::operator-=(), GMatrix::operator-=(), GMatrixSparse::operator-=(), GMatrixSparse::operator=(), operator==(), GMatrixSparse::operator==(), GMatrixSymmetric::print(), GMatrix::print(), GMatrixSparse::print(), print_elements(), GMatrixSparse::remove_zero_row_col(), GMatrixSymmetric::row(), GMatrix::row(), GMatrixSparse::row(), rows(), select_non_zero(), GMatrixSymmetric::set_inx(), GMatrixSparse::stack_push_column(), GMatrixSymmetric::sum(), and GMatrix::transpose().


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