Dune::FieldMatrix< K, ROWS, COLS > Class Template Reference

A dense n x m matrix. More...

#include <dune/common/fmatrix.hh>

Public Types
enum	{ rows = ROWS , cols = COLS }
	export size More...
enum
	We are at the leaf of the block recursion.
typedef Traits::derived_type	derived_type
	type of derived matrix class
typedef Traits::value_type	value_type
	export the type representing the field
typedef Traits::value_type	field_type
	export the type representing the field
typedef Traits::value_type	block_type
	export the type representing the components
typedef DenseIterator< DenseMatrix, row_type, row_reference >	Iterator
	Iterator class for sequential access.
typedef Iterator	iterator
	typedef for stl compliant access
typedef Iterator	RowIterator
	rename the iterators for easier access
typedef std::remove_reference< row_reference >::type::Iterator	ColIterator
	rename the iterators for easier access
typedef DenseIterator< const DenseMatrix, const row_type, const_row_reference >	ConstIterator
	Iterator class for sequential access.
typedef ConstIterator	const_iterator
	typedef for stl compliant access
typedef ConstIterator	ConstRowIterator
	rename the iterators for easier access
typedef std::remove_reference< const_row_reference >::type::ConstIterator	ConstColIterator
	rename the iterators for easier access

Public Member Functions
	FieldMatrix ()
	Default constructor.
	FieldMatrix (std::initializer_list< Dune::FieldVector< K, cols > > const &l)
	Constructor initializing the matrix from a list of vector.
template<int l>
FieldMatrix< K, l, cols >	leftmultiplyany (const FieldMatrix< K, l, rows > &M) const
	Multiplies M from the left to this matrix, this matrix is not modified.
template<int r, int c>
FieldMatrix &	rightmultiply (const FieldMatrix< K, r, c > &M)
	Multiplies M from the right to this matrix.
template<int l>
FieldMatrix< K, rows, l >	rightmultiplyany (const FieldMatrix< K, cols, l > &M) const
	Multiplies M from the right to this matrix, this matrix is not modified.
row_reference	operator[] (size_type i)
	random access
size_type	size () const
	size method (number of rows)
Iterator	begin ()
	begin iterator
ConstIterator	begin () const
	begin iterator
Iterator	end ()
	end iterator
ConstIterator	end () const
	end iterator
Iterator	beforeEnd ()
ConstIterator	beforeEnd () const
Iterator	beforeBegin ()
ConstIterator	beforeBegin () const
derived_type &	operator+= (const DenseMatrix< Other > &y)
	vector space addition
derived_type &	operator-= (const DenseMatrix< Other > &y)
	vector space subtraction
derived_type &	operator*= (const field_type &k)
	vector space multiplication with scalar
derived_type &	operator/= (const field_type &k)
	vector space division by scalar
derived_type &	axpy (const field_type &k, const DenseMatrix< Other > &y)
	vector space axpy operation (*this += k y)
bool	operator== (const DenseMatrix< Other > &y) const
	Binary matrix comparison.
bool	operator!= (const DenseMatrix< Other > &y) const
	Binary matrix incomparison.
void	mv (const X &x, Y &y) const
	y = A x
void	mtv (const X &x, Y &y) const
	y = A^T x
void	umv (const X &x, Y &y) const
	y += A x
void	umtv (const X &x, Y &y) const
	y += A^T x
void	umhv (const X &x, Y &y) const
	y += A^H x
void	mmv (const X &x, Y &y) const
	y -= A x
void	mmtv (const X &x, Y &y) const
	y -= A^T x
void	mmhv (const X &x, Y &y) const
	y -= A^H x
void	usmv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A x
void	usmtv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A^T x
void	usmhv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A^H x
FieldTraits< value_type >::real_type	frobenius_norm () const
	frobenius norm: sqrt(sum over squared values of entries)
FieldTraits< value_type >::real_type	frobenius_norm2 () const
	square of frobenius norm, need for block recursion
FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (row sum norm, how to generalize for blocks?)
FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (row sum norm, how to generalize for blocks?)
FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)
FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)
void	solve (V &x, const V &b) const
	Solve system A x = b. More...
void	invert ()
	Compute inverse. More...
field_type	determinant () const
	calculates the determinant of this matrix
FieldMatrix< K, ROWS, COLS > &	leftmultiply (const DenseMatrix< M2 > &M)
	Multiplies M from the left to this matrix.
FieldMatrix< K, ROWS, COLS > &	rightmultiply (const DenseMatrix< M2 > &M)
	Multiplies M from the right to this matrix.
size_type	N () const
	number of rows
size_type	M () const
	number of columns
size_type	rows () const
	number of rows
size_type	cols () const
	number of columns
bool	exists (size_type i, size_type j) const
	return true when (i,j) is in pattern

Detailed Description

template<class K, int ROWS, int COLS>
class Dune::FieldMatrix< K, ROWS, COLS >

A dense n x m matrix.

Matrices represent linear maps from a vector space V to a vector space W. This class represents such a linear map by storing a two-dimensional array of numbers of a given field type K. The number of rows and columns is given at compile time.

Member Enumeration Documentation

anonymous enum

template<class K , int ROWS, int COLS>

anonymous enum

export size

Enumerator
rows	The number of rows.
cols	The number of columns.

Member Function Documentation

beforeBegin() [1/2]

Iterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::beforeBegin ( )

inlineinherited

Returns

an iterator that is positioned before the first entry of the vector.

beforeBegin() [2/2]

ConstIterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::beforeBegin ( ) const

inlineinherited

Returns

an iterator that is positioned before the first entry of the vector.

beforeEnd() [1/2]

Iterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::beforeEnd ( )

inlineinherited

Returns

an iterator that is positioned before the end iterator of the vector, i.e. at the last entry.

beforeEnd() [2/2]

ConstIterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::beforeEnd ( ) const

inlineinherited

Returns

an iterator that is positioned before the end iterator of the vector. i.e. at the last element

invert()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::invert ( )

inherited

Compute inverse.

Exceptions

FMatrixError

if the matrix is singular

solve()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::solve ( V &  x, const V &  b  ) const

inherited

Solve system A x = b.

Exceptions

FMatrixError

if the matrix is singular

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

• dune/common/densematrix.hh
• dune/common/fmatrix.hh