A dense n x m matrix. More...

#include <dune/common/fmatrix.hh>

Inheritance diagram for Dune::FieldMatrix< K, ROWS, COLS >:

Public Types
typedef Base::size_type	size_type

typedef Base::row_type	row_type

typedef Base::row_reference	row_reference

typedef Base::const_row_reference	const_row_reference

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
constexpr	FieldMatrix ()=default
	Default constructor.

constexpr	FieldMatrix (std::initializer_list< Dune::FieldVector< K, cols > > const &l)
	Constructor initializing the matrix from a list of vector.

template<class T , typename = std::enable_if_t<HasDenseMatrixAssigner<FieldMatrix, T>::value>>
	FieldMatrix (T const &rhs)

FieldMatrix &	operator= (const FieldMatrix &)=default
	copy assignment operator

template<typename T >
FieldMatrix &	operator= (const FieldMatrix< T, ROWS, COLS > &x)
	copy assignment from FieldMatrix over a different field

template<typename T , int rows, int cols>
FieldMatrix &	operator= (FieldMatrix< T, rows, cols > const &)=delete
	no copy assignment from FieldMatrix of different size

FieldMatrix< K, COLS, ROWS >	transposed () const
	Return transposed of the matrix as FieldMatrix.

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	mat_access (size_type i)

const_row_reference	mat_access (size_type i) const

row_reference	operator[] (size_type i)
	random access

const_row_reference	operator[] (size_type i) const

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 > &x)
	vector space addition

derived_type	operator- () const
	Matrix negation.

derived_type &	operator-= (const DenseMatrix< Other > &x)
	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 &a, const DenseMatrix< Other > &x)
	vector space axpy operation (*this += a x)

bool	operator== (const DenseMatrix< Other > &x) const
	Binary matrix comparison.

bool	operator!= (const DenseMatrix< Other > &x) 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 (V1 &x, const V2 &b, bool doPivoting=true) const
	Solve system A x = b.

void	invert (bool doPivoting=true)
	Compute inverse.

field_type	determinant (bool doPivoting=true) 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.

constexpr size_type	N () const
	number of rows

constexpr size_type	M () const
	number of columns

constexpr size_type	rows () const
	number of rows

constexpr size_type	cols () const
	number of columns

bool	exists (size_type i, size_type j) const
	return true when (i,j) is in pattern

Static Public Member Functions
static constexpr size_type	mat_rows ()

static constexpr size_type	mat_cols ()

Static Public Attributes
static constexpr int	rows = ROWS
	The number of rows.

static constexpr int	cols = COLS
	The number of columns.

static constexpr int	blocklevel
	The number of block levels we contain. This is the leaf, that is, 1.

Static Protected Member Functions
static void	luDecomposition (DenseMatrix< FieldMatrix< K, ROWS, COLS > > &A, Func func, Mask &nonsingularLanes, bool throwEarly, bool doPivoting)
	do an LU-Decomposition on matrix A

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 Typedef Documentation

◆ block_type

typedef Traits::value_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::block_type

inherited

export the type representing the components

◆ ColIterator

typedef std::remove_reference<row_reference>::type::Iterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::ColIterator

inherited

rename the iterators for easier access

◆ const_iterator

typedef ConstIterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::const_iterator

inherited

typedef for stl compliant access

◆ const_row_reference

template<class K , int ROWS, int COLS>

typedef Base::const_row_reference Dune::FieldMatrix< K, ROWS, COLS >::const_row_reference

◆ ConstColIterator

typedef std::remove_reference<const_row_reference>::type::ConstIterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::ConstColIterator

inherited

rename the iterators for easier access

◆ ConstIterator

typedef DenseIterator<const DenseMatrix,const row_type,const_row_reference> Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::ConstIterator

inherited

Iterator class for sequential access.

◆ ConstRowIterator

typedef ConstIterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::ConstRowIterator

inherited

rename the iterators for easier access

◆ derived_type

typedef Traits::derived_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::derived_type

inherited

type of derived matrix class

◆ field_type

typedef Traits::value_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::field_type

inherited

export the type representing the field

◆ Iterator

typedef DenseIterator<DenseMatrix,row_type,row_reference> Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::Iterator

inherited

Iterator class for sequential access.

◆ iterator

typedef Iterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::iterator

inherited

typedef for stl compliant access

◆ row_reference

template<class K , int ROWS, int COLS>

typedef Base::row_reference Dune::FieldMatrix< K, ROWS, COLS >::row_reference

◆ row_type

template<class K , int ROWS, int COLS>

typedef Base::row_type Dune::FieldMatrix< K, ROWS, COLS >::row_type

◆ RowIterator

typedef Iterator Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::RowIterator

inherited

rename the iterators for easier access

◆ size_type

template<class K , int ROWS, int COLS>

typedef Base::size_type Dune::FieldMatrix< K, ROWS, COLS >::size_type

◆ value_type

typedef Traits::value_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::value_type

inherited

export the type representing the field

Constructor & Destructor Documentation

◆ FieldMatrix() [1/3]

template<class K , int ROWS, int COLS>

constexpr Dune::FieldMatrix< K, ROWS, COLS >::FieldMatrix ( )

constexprdefault

Default constructor.

◆ FieldMatrix() [2/3]

template<class K , int ROWS, int COLS>

constexpr Dune::FieldMatrix< K, ROWS, COLS >::FieldMatrix ( std::initializer_list< Dune::FieldVector< K, cols > > const & l )

inlineconstexpr

Constructor initializing the matrix from a list of vector.

◆ FieldMatrix() [3/3]

template<class K , int ROWS, int COLS>

template<class T , typename = std::enable_if_t<HasDenseMatrixAssigner<FieldMatrix, T>::value>>

Dune::FieldMatrix< K, ROWS, COLS >::FieldMatrix ( T const & rhs )

inline

Member Function Documentation

◆ axpy()

derived_type & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::axpy	(	const field_type &	a,
		const DenseMatrix< Other > &	x
	)

inlineinherited

vector space axpy operation (*this += a x)

◆ 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

◆ begin() [1/2]

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

inlineinherited

begin iterator

◆ begin() [2/2]

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

inlineinherited

begin iterator

◆ cols()

constexpr size_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::cols ( ) const

inlineconstexprinherited

number of columns

◆ determinant()

field_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::determinant ( bool doPivoting = true ) const

inherited

calculates the determinant of this matrix

◆ end() [1/2]

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

inlineinherited

end iterator

◆ end() [2/2]

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

inlineinherited

end iterator

◆ exists()

bool Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::exists	(	size_type	i,
		size_type	j
	)		const

inlineinherited

return true when (i,j) is in pattern

◆ frobenius_norm()

FieldTraits< value_type >::real_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::frobenius_norm ( ) const

inlineinherited

frobenius norm: sqrt(sum over squared values of entries)

◆ frobenius_norm2()

FieldTraits< value_type >::real_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::frobenius_norm2 ( ) const

inlineinherited

square of frobenius norm, need for block recursion

◆ infinity_norm() [1/2]

FieldTraits< vt >::real_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::infinity_norm ( ) const

inlineinherited

infinity norm (row sum norm, how to generalize for blocks?)

◆ infinity_norm() [2/2]

FieldTraits< vt >::real_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::infinity_norm ( ) const

inlineinherited

infinity norm (row sum norm, how to generalize for blocks?)

◆ infinity_norm_real() [1/2]

FieldTraits< vt >::real_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::infinity_norm_real ( ) const

inlineinherited

simplified infinity norm (uses Manhattan norm for complex values)

◆ infinity_norm_real() [2/2]

FieldTraits< vt >::real_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::infinity_norm_real ( ) const

inlineinherited

simplified infinity norm (uses Manhattan norm for complex values)

◆ invert()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::invert ( bool doPivoting = true )

inherited

Compute inverse.

Exceptions

FMatrixError if the matrix is singular

◆ leftmultiply()

FieldMatrix< K, ROWS, COLS > & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::leftmultiply ( const DenseMatrix< M2 > & M )

inlineinherited

Multiplies M from the left to this matrix.

◆ leftmultiplyany()

template<class K , int ROWS, int COLS>

template<int l>

FieldMatrix< K, l, cols > Dune::FieldMatrix< K, ROWS, COLS >::leftmultiplyany ( const FieldMatrix< K, l, rows > & M ) const

inline

Multiplies M from the left to this matrix, this matrix is not modified.

◆ luDecomposition()

static void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::luDecomposition	(	DenseMatrix< FieldMatrix< K, ROWS, COLS > > &	A,
		Func	func,
		Mask &	nonsingularLanes,
		bool	throwEarly,
		bool	doPivoting
	)

staticprotectedinherited

do an LU-Decomposition on matrix A

Parameters

A	The matrix to decompose, and to store the result in.
func	Functor used for swapping lanes and to conduct the elimination. Depending on the functor, `luDecomposition()` can be used for solving, for inverting, or to compute the determinant.
nonsingularLanes	SimdMask of lanes that are nonsingular.
throwEarly	Whether to throw an `FMatrixError` immediately as soon as one lane is discovered to be singular. If `false`, do not throw, instead continue until finished or all lanes are singular, and exit via return in both cases.
doPivoting	Enable pivoting.

There are two modes of operation:

Terminate as soon as one lane is discovered to be singular. Early termination is done by throwing an FMatrixError. On entry, Simd::allTrue(nonsingularLanes) and throwEarly==true should hold. After early termination, the contents of A should be considered bogus, and nonsingularLanes has the lane(s) that triggered the early termination unset. There may be more singular lanes than the one reported in nonsingularLanes, which just haven't been discovered yet; so the value of nonsingularLanes is mostly useful for diagnostics.
Terminate only when all lanes are discovered to be singular. Use this when you want to apply special postprocessing in singular lines (e.g. setting the determinant of singular lanes to 0 in determinant()). On entry, nonsingularLanes may have any value and throwEarly==false should hold. The function will not throw an exception if some lanes are discovered to be singular, instead it will continue running until all lanes are singular or until finished, and terminate only via normal return. On exit, nonsingularLanes contains the map of lanes that are valid in A.

◆ M()

constexpr size_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::M ( ) const

inlineconstexprinherited

number of columns

◆ mat_access() [1/2]

template<class K , int ROWS, int COLS>

row_reference Dune::FieldMatrix< K, ROWS, COLS >::mat_access ( size_type i )

inline

◆ mat_access() [2/2]

template<class K , int ROWS, int COLS>

const_row_reference Dune::FieldMatrix< K, ROWS, COLS >::mat_access ( size_type i ) const

inline

◆ mat_cols()

template<class K , int ROWS, int COLS>

static constexpr size_type Dune::FieldMatrix< K, ROWS, COLS >::mat_cols ( )

inlinestaticconstexpr

◆ mat_rows()

template<class K , int ROWS, int COLS>

static constexpr size_type Dune::FieldMatrix< K, ROWS, COLS >::mat_rows ( )

inlinestaticconstexpr

◆ mmhv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::mmhv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y -= A^H x

◆ mmtv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::mmtv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y -= A^T x

◆ mmv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::mmv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y -= A x

◆ mtv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::mtv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y = A^T x

◆ mv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::mv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y = A x

◆ N()

constexpr size_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::N ( ) const

inlineconstexprinherited

number of rows

◆ operator!=()

bool Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator!= ( const DenseMatrix< Other > & x ) const

inlineinherited

Binary matrix incomparison.

◆ operator*=()

derived_type & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator*= ( const field_type & k )

inlineinherited

vector space multiplication with scalar

◆ operator+=()

derived_type & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator+= ( const DenseMatrix< Other > & x )

inlineinherited

vector space addition

◆ operator-()

derived_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator- ( ) const

inlineinherited

Matrix negation.

◆ operator-=()

derived_type & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator-= ( const DenseMatrix< Other > & x )

inlineinherited

vector space subtraction

◆ operator/=()

derived_type & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator/= ( const field_type & k )

inlineinherited

vector space division by scalar

◆ operator=() [1/3]

template<class K , int ROWS, int COLS>

FieldMatrix & Dune::FieldMatrix< K, ROWS, COLS >::operator= ( const FieldMatrix< K, ROWS, COLS > & )

default

copy assignment operator

◆ operator=() [2/3]

template<class K , int ROWS, int COLS>

template<typename T >

FieldMatrix & Dune::FieldMatrix< K, ROWS, COLS >::operator= ( const FieldMatrix< T, ROWS, COLS > & x )

inline

copy assignment from FieldMatrix over a different field

◆ operator=() [3/3]

template<class K , int ROWS, int COLS>

template<typename T , int rows, int cols>

FieldMatrix & Dune::FieldMatrix< K, ROWS, COLS >::operator= ( FieldMatrix< T, rows, cols > const & )

delete

no copy assignment from FieldMatrix of different size

◆ operator==()

bool Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator== ( const DenseMatrix< Other > & x ) const

inlineinherited

Binary matrix comparison.

◆ operator[]() [1/2]

row_reference Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator[] ( size_type i )

inlineinherited

random access

◆ operator[]() [2/2]

const_row_reference Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::operator[] ( size_type i ) const

inlineinherited

◆ rightmultiply() [1/2]

FieldMatrix< K, ROWS, COLS > & Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::rightmultiply ( const DenseMatrix< M2 > & M )

inlineinherited

Multiplies M from the right to this matrix.

◆ rightmultiply() [2/2]

template<class K , int ROWS, int COLS>

template<int r, int c>

FieldMatrix & Dune::FieldMatrix< K, ROWS, COLS >::rightmultiply ( const FieldMatrix< K, r, c > & M )

inline

Multiplies M from the right to this matrix.

◆ rightmultiplyany()

template<class K , int ROWS, int COLS>

template<int l>

FieldMatrix< K, rows, l > Dune::FieldMatrix< K, ROWS, COLS >::rightmultiplyany ( const FieldMatrix< K, cols, l > & M ) const

inline

Multiplies M from the right to this matrix, this matrix is not modified.

◆ rows()

constexpr size_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::rows ( ) const

inlineconstexprinherited

number of rows

◆ size()

size_type Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::size ( ) const

inlineinherited

size method (number of rows)

◆ solve()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::solve	(	V1 &	x,
		const V2 &	b,
		bool	doPivoting = `true`
	)		const

inherited

Solve system A x = b.

Exceptions

FMatrixError if the matrix is singular

◆ transposed()

template<class K , int ROWS, int COLS>

FieldMatrix< K, COLS, ROWS > Dune::FieldMatrix< K, ROWS, COLS >::transposed ( ) const

inline

Return transposed of the matrix as FieldMatrix.

◆ umhv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::umhv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y += A^H x

◆ umtv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::umtv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y += A^T x

◆ umv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::umv	(	const X &	x,
		Y &	y
	)		const

inlineinherited

y += A x

◆ usmhv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::usmhv	(	const typename FieldTraits< Y >::field_type &	alpha,
		const X &	x,
		Y &	y
	)		const

inlineinherited

y += alpha A^H x

◆ usmtv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::usmtv	(	const typename FieldTraits< Y >::field_type &	alpha,
		const X &	x,
		Y &	y
	)		const

inlineinherited

y += alpha A^T x

◆ usmv()

void Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::usmv	(	const typename FieldTraits< Y >::field_type &	alpha,
		const X &	x,
		Y &	y
	)		const

inlineinherited

y += alpha A x

Member Data Documentation

◆ blocklevel

constexpr int Dune::DenseMatrix< FieldMatrix< K, ROWS, COLS > >::blocklevel

staticconstexprinherited

The number of block levels we contain. This is the leaf, that is, 1.

◆ cols

template<class K , int ROWS, int COLS>

constexpr int Dune::FieldMatrix< K, ROWS, COLS >::cols = COLS

staticconstexpr

The number of columns.

◆ rows

template<class K , int ROWS, int COLS>

constexpr int Dune::FieldMatrix< K, ROWS, COLS >::rows = ROWS

staticconstexpr

The number of rows.

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

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Static Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ block_type

◆ ColIterator

◆ const_iterator

◆ const_row_reference

◆ ConstColIterator

◆ ConstIterator

◆ ConstRowIterator

◆ derived_type

◆ field_type

◆ Iterator

◆ iterator

◆ row_reference

◆ row_type

◆ RowIterator

◆ size_type

◆ value_type

Constructor & Destructor Documentation

◆ FieldMatrix() [1/3]

◆ FieldMatrix() [2/3]

◆ FieldMatrix() [3/3]

Member Function Documentation

◆ axpy()

◆ beforeBegin() [1/2]

◆ beforeBegin() [2/2]

◆ beforeEnd() [1/2]

◆ beforeEnd() [2/2]

◆ begin() [1/2]

◆ begin() [2/2]

◆ cols()

◆ determinant()

◆ end() [1/2]

◆ end() [2/2]

◆ exists()

◆ frobenius_norm()

◆ frobenius_norm2()

◆ infinity_norm() [1/2]

◆ infinity_norm() [2/2]

◆ infinity_norm_real() [1/2]

◆ infinity_norm_real() [2/2]

◆ invert()

◆ leftmultiply()

◆ leftmultiplyany()

◆ luDecomposition()

◆ M()

◆ mat_access() [1/2]

◆ mat_access() [2/2]

◆ mat_cols()

◆ mat_rows()

◆ mmhv()

◆ mmtv()

◆ mmv()

◆ mtv()

◆ mv()

◆ N()

◆ operator!=()

◆ operator*=()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/=()

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ rightmultiply() [1/2]

◆ rightmultiply() [2/2]

◆ rightmultiplyany()

◆ rows()

◆ size()

◆ solve()

◆ transposed()