Abstract data type for sparse matrices. More...

#include <matrix.hpp>

Inheritance diagram for mfem::AbstractSparseMatrix:

Collaboration diagram for mfem::AbstractSparseMatrix:

Public Member Functions
	AbstractSparseMatrix (int s=0)
	Creates a square matrix of the given size. More...

	AbstractSparseMatrix (int h, int w)
	Creates a matrix of the given height and width. More...

virtual int	NumNonZeroElems () const =0
	Returns the number of non-zeros in a matrix. More...

virtual int	GetRow (const int row, Array< int > &cols, Vector &srow) const =0

virtual void	EliminateZeroRows ()=0

virtual void	Mult (const Vector &x, Vector &y) const =0
	Matrix-Vector Multiplication y = A*x. More...

virtual void	AddMult (const Vector &x, Vector &y, const double val=1.) const =0
	Matrix-Vector Multiplication y = y + valAx. More...

virtual void	MultTranspose (const Vector &x, Vector &y) const =0
	MatrixTranspose-Vector Multiplication y = A'*x. More...

virtual void	AddMultTranspose (const Vector &x, Vector &y, const double val=1.) const =0
	MatrixTranspose-Vector Multiplication y = y + valA'x. More...

virtual	~AbstractSparseMatrix ()
	Destroys AbstractSparseMatrix. More...

Public Member Functions inherited from mfem::Matrix
	Matrix (int s)
	Creates a square matrix of size s. More...

	Matrix (int h, int w)
	Creates a matrix of the given height and width. More...

virtual double &	Elem (int i, int j)=0
	Returns reference to a_{ij}. More...

virtual const double &	Elem (int i, int j) const =0
	Returns constant reference to a_{ij}. More...

virtual MatrixInverse *	Inverse () const =0
	Returns a pointer to (an approximation) of the matrix inverse. More...

virtual void	Finalize (int)
	Finalizes the matrix initialization. More...

virtual void	Print (std::ostream &out=std::cout, int width_=4) const
	Prints matrix to stream out. More...

virtual	~Matrix ()
	Destroys matrix. More...

Public Member Functions inherited from mfem::Operator
	Operator (int s=0)
	Construct a square Operator with given size s (default 0). More...

	Operator (int h, int w)
	Construct an Operator with the given height (output size) and width (input size). More...

int	Height () const
	Get the height (size of output) of the Operator. Synonym with NumRows(). More...

int	NumRows () const
	Get the number of rows (size of output) of the Operator. Synonym with Height(). More...

int	Width () const
	Get the width (size of input) of the Operator. Synonym with NumCols(). More...

int	NumCols () const
	Get the number of columns (size of input) of the Operator. Synonym with Width(). More...

virtual Operator &	GetGradient (const Vector &x) const
	Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. More...

virtual const Operator *	GetProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. `NULL` means identity. More...

virtual const Operator *	GetRestriction () const
	Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity. More...

void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
	Form a constrained linear system using a matrix-free approach. More...

virtual void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
	Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem(). More...

void	PrintMatlab (std::ostream &out, int n=0, int m=0) const
	Prints operator with input size n and output size m in Matlab format. More...

virtual	~Operator ()
	Virtual destructor. More...

Additional Inherited Members
Public Types inherited from mfem::Operator
enum	Type { MFEM_SPARSEMAT, HYPRE_PARCSR, PETSC_MATAIJ, PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST }
	Enumeration defining IDs for some classes derived from Operator. More...

Protected Attributes inherited from mfem::Operator
int	height
	Dimension of the output / number of rows in the matrix. More...

int	width
	Dimension of the input / number of columns in the matrix. More...

Detailed Description

Abstract data type for sparse matrices.

Definition at line 69 of file matrix.hpp.

Constructor & Destructor Documentation

mfem::AbstractSparseMatrix::AbstractSparseMatrix ( int s = 0 )

inlineexplicit

Creates a square matrix of the given size.

Definition at line 73 of file matrix.hpp.

mfem::AbstractSparseMatrix::AbstractSparseMatrix	(	int	h,
		int	w
	)

inlineexplicit

Creates a matrix of the given height and width.

Definition at line 76 of file matrix.hpp.

virtual mfem::AbstractSparseMatrix::~AbstractSparseMatrix ( )

inlinevirtual

Destroys AbstractSparseMatrix.

Definition at line 105 of file matrix.hpp.

Member Function Documentation

virtual void mfem::AbstractSparseMatrix::AddMult	(	const Vector &	x,
		Vector &	y,
		const double	val = `1.`
	)		const

pure virtual

Matrix-Vector Multiplication y = y + val*A*x.

Implemented in mfem::SparseMatrix, and mfem::BlockMatrix.

virtual void mfem::AbstractSparseMatrix::AddMultTranspose	(	const Vector &	x,
		Vector &	y,
		const double	val = `1.`
	)		const

pure virtual

MatrixTranspose-Vector Multiplication y = y + val*A'*x.

Implemented in mfem::SparseMatrix, and mfem::BlockMatrix.

virtual void mfem::AbstractSparseMatrix::EliminateZeroRows ( )

pure virtual

If the matrix is square, it will place 1 on the diagonal (i,i) if row i has "almost" zero l1-norm. If entry (i,i) does not belong to the sparsity pattern of A, then an error will occur.

Implemented in mfem::SparseMatrix, and mfem::BlockMatrix.

virtual int mfem::AbstractSparseMatrix::GetRow	(	const int	row,
		Array< int > &	cols,
		Vector &	srow
	)		const

pure virtual

Gets the columns indexes and values for row row. Returns: 0 if cols and srow are copies of the values in the matrix. 1 if cols and srow are views of the values in the matrix.

Implemented in mfem::SparseMatrix, and mfem::BlockMatrix.