Class of matrices containing doubles, and stored as a DenseMatrix<double>, but with solving functionality inherited from the abstract DoubleMatrix class. More...

#include <matrices.h>

Inheritance diagram for oomph::DenseDoubleMatrix:

Public Member Functions
	DenseDoubleMatrix ()
	Constructor, set the default linear solver. More...

	DenseDoubleMatrix (const unsigned long &n)
	Constructor to build a square n by n matrix. More...

	DenseDoubleMatrix (const unsigned long &n, const unsigned long &m)
	Constructor to build a matrix with n rows and m columns. More...

	DenseDoubleMatrix (const unsigned long &n, const unsigned long &m, const double &initial_val)
	Constructor to build a matrix with n rows and m columns, with initial value initial_val. More...

	DenseDoubleMatrix (const DenseDoubleMatrix &matrix)=delete
	Broken copy constructor. More...

void	operator= (const DenseDoubleMatrix &)=delete
	Broken assignment operator. More...

unsigned long	nrow () const
	Return the number of rows of the matrix. More...

unsigned long	ncol () const
	Return the number of columns of the matrix. More...

double	operator() (const unsigned long &i, const unsigned long &j) const
	Overload the const version of the round-bracket access operator for read-only access. More...

double &	operator() (const unsigned long &i, const unsigned long &j)
	Overload the non-const version of the round-bracket access operator for read-write access. More...

virtual	~DenseDoubleMatrix ()
	Destructor. More...

virtual void	ludecompose ()
	LU decomposition using DenseLU (default linea solver) More...

virtual void	lubksub (DoubleVector &rhs)
	LU backsubstitution. More...

virtual void	lubksub (Vector< double > &rhs)
	LU backsubstitution. More...

void	eigenvalues_by_jacobi (Vector< double > &eigen_val, DenseMatrix< double > &eigen_vect) const
	Determine eigenvalues and eigenvectors, using Jacobi rotations. Only for symmetric matrices. Nothing gets overwritten! More...

void	multiply (const DoubleVector &x, DoubleVector &soln) const
	Multiply the matrix by the vector x: soln=Ax. More...

void	multiply_transpose (const DoubleVector &x, DoubleVector &soln) const
	Multiply the transposed matrix by the vector x: soln=A^T x. More...

void	matrix_reduction (const double &alpha, DenseDoubleMatrix &reduced_matrix)
	For every row, find the maximum absolute value of the entries in this row. Set all values that are less than alpha times this maximum to zero and return the resulting matrix in reduced_matrix. Note: Diagonal entries are retained regardless of their size. More...

void	multiply (const DenseDoubleMatrix &matrix_in, DenseDoubleMatrix &result)
	Function to multiply this matrix by a DenseDoubleMatrix matrix_in. More...

Public Member Functions inherited from oomph::DoubleMatrixBase
	DoubleMatrixBase ()
	(Empty) constructor. More...

	DoubleMatrixBase (const DoubleMatrixBase &matrix)=delete
	Broken copy constructor. More...

void	operator= (const DoubleMatrixBase &)=delete
	Broken assignment operator. More...

virtual	~DoubleMatrixBase ()
	virtual (empty) destructor More...

LinearSolver *&	linear_solver_pt ()
	Return a pointer to the linear solver object. More...

LinearSolver *const &	linear_solver_pt () const
	Return a pointer to the linear solver object (const version) More...

void	solve (DoubleVector &rhs)
	Complete LU solve (replaces matrix by its LU decomposition and overwrites RHS with solution). The default should not need to be over-written. More...

void	solve (const DoubleVector &rhs, DoubleVector &soln)
	Complete LU solve (Nothing gets overwritten!). The default should not need to be overwritten. More...

void	solve (Vector< double > &rhs)
	Complete LU solve (replaces matrix by its LU decomposition and overwrites RHS with solution). The default should not need to be over-written. More...

void	solve (const Vector< double > &rhs, Vector< double > &soln)
	Complete LU solve (Nothing gets overwritten!). The default should not need to be overwritten. More...

virtual void	residual (const DoubleVector &x, const DoubleVector &b, DoubleVector &residual_)
	Find the residual, i.e. r=b-Ax the residual. More...

virtual double	max_residual (const DoubleVector &x, const DoubleVector &rhs)
	Find the maximum residual r=b-Ax – generic version, can be overloaded for specific derived classes where the max. can be determined "on the fly". More...

Public Member Functions inherited from oomph::DenseMatrix< double >
	DenseMatrix ()
	Empty constructor, simply assign the lengths N and M to 0. More...

	DenseMatrix (const DenseMatrix &source_matrix)
	Copy constructor: Deep copy! More...

	DenseMatrix (const unsigned long &n)
	Constructor to build a square n by n matrix. More...

	DenseMatrix (const unsigned long &n, const unsigned long &m)
	Constructor to build a matrix with n rows and m columns. More...

	DenseMatrix (const unsigned long &n, const unsigned long &m, const double &initial_val)
	Constructor to build a matrix with n rows and m columns, with initial value initial_val. More...

DenseMatrix &	operator= (const DenseMatrix &source_matrix)
	Copy assignment. More...

double &	entry (const unsigned long &i, const unsigned long &j)
	The access function that will be called by the read-write round-bracket operator. More...

double	get_entry (const unsigned long &i, const unsigned long &j) const
	The access function the will be called by the read-only (const version) round-bracket operator. More...

virtual	~DenseMatrix ()
	Destructor, clean up the matrix data. More...

unsigned long	nrow () const
	Return the number of rows of the matrix. More...

unsigned long	ncol () const
	Return the number of columns of the matrix. More...

void	resize (const unsigned long &n)
	Resize to a square nxn matrix; any values already present will be transfered. More...

void	resize (const unsigned long &n, const unsigned long &m)
	Resize to a non-square n x m matrix; any values already present will be transfered. More...

void	resize (const unsigned long &n, const unsigned long &m, const double &initial_value)
	Resize to a non-square n x m matrix and initialize the new values to initial_value. More...

void	initialise (const double &val)
	Initialize all values in the matrix to val. More...

void	output (std::ostream &outfile) const
	Output function to print a matrix row-by-row to the stream outfile. More...

void	output (std::string filename) const
	Output function to print a matrix row-by-row to a file. Specify filename. More...

void	indexed_output (std::ostream &outfile) const
	Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) More...

void	indexed_output (std::string filename) const
	Indexed output function to print a matrix to a file as i,j,a(i,j). Specify filename. More...

void	output_bottom_right_zero_helper (std::ostream &outfile) const
	Output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More...

void	sparse_indexed_output_helper (std::ostream &outfile) const
	Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) for a(i,j)!=0 only. More...

Public Member Functions inherited from oomph::Matrix< T, MATRIX_TYPE >
	Matrix ()
	(Empty) constructor More...

	Matrix (const Matrix &matrix)=delete
	Broken copy constructor. More...

void	operator= (const Matrix &)=delete
	Broken assignment operator. More...

virtual	~Matrix ()
	Virtual (empty) destructor. More...

T	operator() (const unsigned long &i, const unsigned long &j) const
	Round brackets to give access as a(i,j) for read only (we're not providing a general interface for component-wise write access since not all matrix formats allow efficient direct access!) The function uses the MATRIX_TYPE template parameter to call the get_entry() function which must be defined in all derived classes that are to be fully instantiated. More...

T &	operator() (const unsigned long &i, const unsigned long &j)
	Round brackets to give access as a(i,j) for read-write access. The function uses the MATRIX_TYPE template parameter to call the entry() function which must be defined in all derived classes that are to be fully instantiated. If the particular Matrix does not allow write access, the function should break with an error message. More...

void	sparse_indexed_output (std::ostream &outfile, const unsigned &precision=0, const bool &output_bottom_right_zero=false) const
	Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) for a(i,j)!=0 only with specified precision (if precision=0 then nothing is changed). If optional boolean flag is set to true we also output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More...

void	sparse_indexed_output (std::string filename, const unsigned &precision=0, const bool &output_bottom_right_zero=false) const
	Indexed output function to print a matrix to the file named filename as i,j,a(i,j) for a(i,j)!=0 only with specified precision. If optional boolean flag is set to true we also output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More...

Additional Inherited Members
Protected Member Functions inherited from oomph::Matrix< T, MATRIX_TYPE >
void	range_check (const unsigned long &i, const unsigned long &j) const
	Range check to catch when an index is out of bounds, if so, it issues a warning message and dies by throwing an `OomphLibError`. More...

Protected Attributes inherited from oomph::DoubleMatrixBase
LinearSolver *	Linear_solver_pt

LinearSolver *	Default_linear_solver_pt

Protected Attributes inherited from oomph::DenseMatrix< double >
double *	Matrixdata
	Internal representation of matrix as a pointer to data. More...

unsigned long	N
	Number of rows. More...

unsigned long	M
	Number of columns. More...

Detailed Description

Class of matrices containing doubles, and stored as a DenseMatrix<double>, but with solving functionality inherited from the abstract DoubleMatrix class.

Definition at line 1270 of file matrices.h.

Constructor & Destructor Documentation

◆ DenseDoubleMatrix() [1/5]

oomph::DenseDoubleMatrix::DenseDoubleMatrix ( )

Constructor, set the default linear solver.

///////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////

Constructor, set the default linear solver to be the DenseLU solver

Definition at line 139 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt, and oomph::DoubleMatrixBase::Linear_solver_pt.

◆ DenseDoubleMatrix() [2/5]

oomph::DenseDoubleMatrix::DenseDoubleMatrix ( const unsigned long & n )

Constructor to build a square n by n matrix.

Constructor to build a square n by n matrix. Set the default linear solver to be DenseLU.

Definition at line 148 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt, and oomph::DoubleMatrixBase::Linear_solver_pt.

◆ DenseDoubleMatrix() [3/5]

oomph::DenseDoubleMatrix::DenseDoubleMatrix	(	const unsigned long &	n,
		const unsigned long &	m
	)

Constructor to build a matrix with n rows and m columns.

Constructor to build a matrix with n rows and m columns. Set the default linear solver to be DenseLU.

Definition at line 159 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt, and oomph::DoubleMatrixBase::Linear_solver_pt.

◆ DenseDoubleMatrix() [4/5]

oomph::DenseDoubleMatrix::DenseDoubleMatrix	(	const unsigned long &	n,
		const unsigned long &	m,
		const double &	initial_val
	)

Constructor to build a matrix with n rows and m columns, with initial value initial_val.

Constructor to build a matrix with n rows and m columns, with initial value initial_val Set the default linear solver to be DenseLU.

Definition at line 171 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt, and oomph::DoubleMatrixBase::Linear_solver_pt.

◆ DenseDoubleMatrix() [5/5]

oomph::DenseDoubleMatrix::DenseDoubleMatrix ( const DenseDoubleMatrix & matrix )

delete

Broken copy constructor.

◆ ~DenseDoubleMatrix()

oomph::DenseDoubleMatrix::~DenseDoubleMatrix ( )

virtual

Destructor.

Destructor delete the default linear solver.

Definition at line 182 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt.

Member Function Documentation

◆ eigenvalues_by_jacobi()

void oomph::DenseDoubleMatrix::eigenvalues_by_jacobi	(	Vector< double > &	eigen_vals,
		DenseMatrix< double > &	eigen_vect
	)		const

Determine eigenvalues and eigenvectors, using Jacobi rotations. Only for symmetric matrices. Nothing gets overwritten!

eigen_vect(i,j) = j-th component of i-th eigenvector.
eigen_val(i) is the i-th eigenvalue; same ordering as in eigenvectors
eigen_vect(i,j) = j-th component of i-th eigenvector.
eigen_val[i] is the i-th eigenvalue; same ordering as in eigenvectors

Definition at line 224 of file matrices.cc.

References i, oomph::DenseMatrix< double >::M, oomph::DenseMatrix< double >::Matrixdata, oomph::DenseMatrix< double >::N, oomph::DenseMatrix< T >::ncol(), oomph::DenseMatrix< T >::nrow(), and oomph::DenseMatrix< T >::resize().

Referenced by oomph::PVDEquationsBase< DIM >::get_principal_stress().

◆ lubksub() [1/2]

void oomph::DenseDoubleMatrix::lubksub ( DoubleVector & rhs )

virtual

LU backsubstitution.

Back substitute an LU decomposed matrix.

Definition at line 202 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt.

Referenced by oomph::DGElement::get_inverse_mass_matrix_times_residuals(), oomph::Z2ErrorEstimator::get_recovered_flux_in_patch(), and oomph::VorticitySmoother< ELEMENT >::get_recovered_vorticity_in_patch().

◆ lubksub() [2/2]

void oomph::DenseDoubleMatrix::lubksub ( Vector< double > & rhs )

virtual

LU backsubstitution.

Back substitute an LU decomposed matrix.

Definition at line 211 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt.

◆ ludecompose()

void oomph::DenseDoubleMatrix::ludecompose ( )

virtual

LU decomposition using DenseLU (default linea solver)

LU decompose a matrix, by using the default linear solver (DenseLU)

Definition at line 192 of file matrices.cc.

References oomph::DoubleMatrixBase::Default_linear_solver_pt.

Referenced by oomph::DGElement::get_inverse_mass_matrix_times_residuals(), oomph::Z2ErrorEstimator::get_recovered_flux_in_patch(), oomph::VorticitySmoother< ELEMENT >::get_recovered_vorticity_in_patch(), and oomph::DGElement::pre_compute_mass_matrix().

◆ matrix_reduction()

void oomph::DenseDoubleMatrix::matrix_reduction	(	const double &	alpha,
		DenseDoubleMatrix &	reduced_matrix
	)

For every row, find the maximum absolute value of the entries in this row. Set all values that are less than alpha times this maximum to zero and return the resulting matrix in reduced_matrix. Note: Diagonal entries are retained regardless of their size.

Definition at line 481 of file matrices.cc.

References i, oomph::DenseMatrix< double >::M, oomph::DenseMatrix< double >::Matrixdata, oomph::DenseMatrix< double >::N, and oomph::DenseMatrix< T >::resize().