Construct a matrix with a dynamic size. More...

#include <dune/common/dynmatrix.hh>

Inheritance diagram for Dune::DynamicMatrix< K >:

Public Types
typedef Base::size_type	size_type

typedef Base::value_type	value_type

typedef Base::row_type	row_type

typedef Traits::derived_type	derived_type
	type of derived matrix class

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 Traits::row_reference	row_reference
	The type used to represent a reference to a row (usually row_type &)

typedef Traits::const_row_reference	const_row_reference
	The type used to represent a reference to a constant row (usually const row_type &)

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
	DynamicMatrix ()
	Default constructor.

	DynamicMatrix (size_type r, size_type c, value_type v=value_type())
	Constructor initializing the whole matrix with a scalar.

	DynamicMatrix (std::initializer_list< DynamicVector< K > > const &ll)
	Constructor initializing the matrix from a list of vector.

template<class T , typename = std::enable_if_t<!Dune::IsNumber<T>::value && HasDenseMatrixAssigner<DynamicMatrix, T>::value>>
	DynamicMatrix (T const &rhs)

void	resize (size_type r, size_type c, value_type v=value_type())
	resize matrix to `r × c`

template<typename T , typename = std::enable_if_t<!Dune::IsNumber<T>::value>>
DynamicMatrix &	operator= (T const &rhs)

template<typename T , typename = std::enable_if_t<Dune::IsNumber<T>::value>>
DynamicMatrix &	operator= (T scalar)

DynamicMatrix	transposed () const
	Return transposed of the matrix as DynamicMatrix.

size_type	mat_rows () const

size_type	mat_cols () const

row_type &	mat_access (size_type i)

const row_type &	mat_access (size_type i) const

constexpr row_reference	operator[] (size_type i)
	random access

constexpr const_row_reference	operator[] (size_type i) const

constexpr size_type	size () const
	size method (number of rows)

constexpr Iterator	begin ()
	begin iterator

constexpr ConstIterator	begin () const
	begin iterator

constexpr Iterator	end ()
	end iterator

constexpr ConstIterator	end () const
	end iterator

constexpr Iterator	beforeEnd ()

constexpr ConstIterator	beforeEnd () const

constexpr Iterator	beforeBegin ()

constexpr ConstIterator	beforeBegin () const

constexpr derived_type &	operator+= (const DenseMatrix< Other > &x)
	vector space addition

constexpr derived_type	operator- () const
	Matrix negation.

constexpr derived_type &	operator-= (const DenseMatrix< Other > &x)
	vector space subtraction

constexpr derived_type &	operator*= (const field_type &k)
	vector space multiplication with scalar

constexpr derived_type &	operator/= (const field_type &k)
	vector space division by scalar

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

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

constexpr bool	operator!= (const DenseMatrix< Other > &x) const
	Binary matrix incomparison.

constexpr void	mv (const X &x, Y &y) const
	y = A x

constexpr void	mtv (const X &x, Y &y) const
	y = A^T x

constexpr void	umv (const X &x, Y &y) const
	y += A x

constexpr void	umtv (const X &x, Y &y) const
	y += A^T x

constexpr void	umhv (const X &x, Y &y) const
	y += A^H x

constexpr void	mmv (const X &x, Y &y) const
	y -= A x

constexpr void	mmtv (const X &x, Y &y) const
	y -= A^T x

constexpr void	mmhv (const X &x, Y &y) const
	y -= A^H x

constexpr void	usmv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A x

constexpr void	usmtv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A^T x

constexpr void	usmhv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
	y += alpha A^H x

constexpr FieldTraits< value_type >::real_type	frobenius_norm () const
	frobenius norm: sqrt(sum over squared values of entries)

constexpr FieldTraits< value_type >::real_type	frobenius_norm2 () const
	square of frobenius norm, need for block recursion

constexpr FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (row sum norm, how to generalize for blocks?)

constexpr FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (row sum norm, how to generalize for blocks?)

constexpr FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)

constexpr 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

DynamicMatrix< K > &	leftmultiply (const DenseMatrix< M2 > &M)
	Multiplies M from the left to this matrix.

DynamicMatrix< K > &	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

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

Static Public Attributes
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< DynamicMatrix< K > > &A, Func func, Mask &nonsingularLanes, bool throwEarly, bool doPivoting)
	do an LU-Decomposition on matrix A

Detailed Description

template<class K>
class Dune::DynamicMatrix< K >

Construct a matrix with a dynamic size.

Template Parameters

K	is the field type (use float, double, complex, etc)

Member Typedef Documentation

◆ block_type

typedef Traits::value_type Dune::DenseMatrix< DynamicMatrix< K > >::block_type

inherited

export the type representing the components

◆ ColIterator

typedef std::remove_reference<row_reference>::type::Iterator Dune::DenseMatrix< DynamicMatrix< K > >::ColIterator

inherited

rename the iterators for easier access

◆ const_iterator

typedef ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::const_iterator

inherited

typedef for stl compliant access

◆ const_row_reference

typedef Traits::const_row_reference Dune::DenseMatrix< DynamicMatrix< K > >::const_row_reference

inherited

The type used to represent a reference to a constant row (usually const row_type &)

◆ ConstColIterator

typedef std::remove_reference<const_row_reference>::type::ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::ConstColIterator

inherited

rename the iterators for easier access

◆ ConstIterator

typedef DenseIterator<const DenseMatrix,const row_type,const_row_reference> Dune::DenseMatrix< DynamicMatrix< K > >::ConstIterator

inherited

Iterator class for sequential access.

◆ ConstRowIterator

typedef ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::ConstRowIterator

inherited

rename the iterators for easier access

◆ derived_type

typedef Traits::derived_type Dune::DenseMatrix< DynamicMatrix< K > >::derived_type

inherited

type of derived matrix class

◆ field_type

typedef Traits::value_type Dune::DenseMatrix< DynamicMatrix< K > >::field_type

inherited

export the type representing the field

◆ Iterator

typedef DenseIterator<DenseMatrix,row_type,row_reference> Dune::DenseMatrix< DynamicMatrix< K > >::Iterator

inherited

Iterator class for sequential access.

◆ iterator

typedef Iterator Dune::DenseMatrix< DynamicMatrix< K > >::iterator

inherited

typedef for stl compliant access

◆ row_reference

typedef Traits::row_reference Dune::DenseMatrix< DynamicMatrix< K > >::row_reference

inherited

The type used to represent a reference to a row (usually row_type &)

◆ row_type

template<class K >

typedef Base::row_type Dune::DynamicMatrix< K >::row_type

◆ RowIterator

typedef Iterator Dune::DenseMatrix< DynamicMatrix< K > >::RowIterator

inherited

rename the iterators for easier access

◆ size_type

template<class K >

typedef Base::size_type Dune::DynamicMatrix< K >::size_type

◆ value_type

template<class K >

typedef Base::value_type Dune::DynamicMatrix< K >::value_type

Constructor & Destructor Documentation

◆ DynamicMatrix() [1/4]

template<class K >

Dune::DynamicMatrix< K >::DynamicMatrix ( )

inline

Default constructor.

◆ DynamicMatrix() [2/4]

template<class K >

Dune::DynamicMatrix< K >::DynamicMatrix	(	size_type	r,
		size_type	c,
		value_type	v = `value_type()`
	)

inline

Constructor initializing the whole matrix with a scalar.

◆ DynamicMatrix() [3/4]

template<class K >

Dune::DynamicMatrix< K >::DynamicMatrix ( std::initializer_list< DynamicVector< K > > const & ll )

inline

Constructor initializing the matrix from a list of vector.

◆ DynamicMatrix() [4/4]

template<class K >

template<class T , typename = std::enable_if_t<!Dune::IsNumber<T>::value && HasDenseMatrixAssigner<DynamicMatrix, T>::value>>

Dune::DynamicMatrix< K >::DynamicMatrix ( T const & rhs )

inline

Member Function Documentation

◆ axpy()

constexpr derived_type & Dune::DenseMatrix< DynamicMatrix< K > >::axpy	(	const field_type &	a,
		const DenseMatrix< Other > &	x
	)

inlineconstexprinherited

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

◆ beforeBegin() [1/2]

constexpr Iterator Dune::DenseMatrix< DynamicMatrix< K > >::beforeBegin ( )

inlineconstexprinherited

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

◆ beforeBegin() [2/2]

constexpr ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::beforeBegin ( ) const

inlineconstexprinherited

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

◆ beforeEnd() [1/2]

constexpr Iterator Dune::DenseMatrix< DynamicMatrix< K > >::beforeEnd ( )

inlineconstexprinherited

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

◆ beforeEnd() [2/2]

constexpr ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::beforeEnd ( ) const

inlineconstexprinherited

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

◆ begin() [1/2]

constexpr Iterator Dune::DenseMatrix< DynamicMatrix< K > >::begin ( )

inlineconstexprinherited

begin iterator

◆ begin() [2/2]

constexpr ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::begin ( ) const

inlineconstexprinherited

begin iterator

◆ cols()

constexpr size_type Dune::DenseMatrix< DynamicMatrix< K > >::cols ( ) const

inlineconstexprinherited

number of columns

◆ determinant()

field_type Dune::DenseMatrix< DynamicMatrix< K > >::determinant ( bool doPivoting = true ) const

inherited

calculates the determinant of this matrix

◆ end() [1/2]

constexpr Iterator Dune::DenseMatrix< DynamicMatrix< K > >::end ( )

inlineconstexprinherited

end iterator

◆ end() [2/2]

constexpr ConstIterator Dune::DenseMatrix< DynamicMatrix< K > >::end ( ) const

inlineconstexprinherited

end iterator

◆ exists()

constexpr bool Dune::DenseMatrix< DynamicMatrix< K > >::exists	(	size_type	i,
		size_type	j
	)		const

inlineconstexprinherited

return true when (i,j) is in pattern

◆ frobenius_norm()

constexpr FieldTraits< value_type >::real_type Dune::DenseMatrix< DynamicMatrix< K > >::frobenius_norm ( ) const

inlineconstexprinherited

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

◆ frobenius_norm2()

constexpr FieldTraits< value_type >::real_type Dune::DenseMatrix< DynamicMatrix< K > >::frobenius_norm2 ( ) const

inlineconstexprinherited

square of frobenius norm, need for block recursion

◆ infinity_norm() [1/2]

constexpr FieldTraits< vt >::real_type Dune::DenseMatrix< DynamicMatrix< K > >::infinity_norm ( ) const

inlineconstexprinherited

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

◆ infinity_norm() [2/2]

constexpr FieldTraits< vt >::real_type Dune::DenseMatrix< DynamicMatrix< K > >::infinity_norm ( ) const

inlineconstexprinherited

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

◆ infinity_norm_real() [1/2]

constexpr FieldTraits< vt >::real_type Dune::DenseMatrix< DynamicMatrix< K > >::infinity_norm_real ( ) const

inlineconstexprinherited

simplified infinity norm (uses Manhattan norm for complex values)

◆ infinity_norm_real() [2/2]

constexpr FieldTraits< vt >::real_type Dune::DenseMatrix< DynamicMatrix< K > >::infinity_norm_real ( ) const

inlineconstexprinherited

simplified infinity norm (uses Manhattan norm for complex values)

◆ invert()

void Dune::DenseMatrix< DynamicMatrix< K > >::invert ( bool doPivoting = true )

inherited

Compute inverse.

Exceptions

FMatrixError if the matrix is singular

◆ leftmultiply()

DynamicMatrix< K > & Dune::DenseMatrix< DynamicMatrix< K > >::leftmultiply ( const DenseMatrix< M2 > & M )

inlineinherited

Multiplies M from the left to this matrix.

◆ luDecomposition()

static void Dune::DenseMatrix< DynamicMatrix< K > >::luDecomposition	(	DenseMatrix< DynamicMatrix< K > > &	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< DynamicMatrix< K > >::M ( ) const

inlineconstexprinherited

number of columns

◆ mat_access() [1/2]

template<class K >

row_type & Dune::DynamicMatrix< K >::mat_access ( size_type i )

inline

◆ mat_access() [2/2]

template<class K >

const row_type & Dune::DynamicMatrix< K >::mat_access ( size_type i ) const

inline

◆ mat_cols()

template<class K >

size_type Dune::DynamicMatrix< K >::mat_cols ( ) const

inline

◆ mat_rows()

template<class K >

size_type Dune::DynamicMatrix< K >::mat_rows ( ) const

inline

◆ mmhv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::mmhv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y -= A^H x

◆ mmtv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::mmtv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y -= A^T x

◆ mmv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::mmv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y -= A x

◆ mtv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::mtv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y = A^T x

◆ mv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::mv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y = A x

◆ N()

constexpr size_type Dune::DenseMatrix< DynamicMatrix< K > >::N ( ) const

inlineconstexprinherited

number of rows

◆ operator!=()

constexpr bool Dune::DenseMatrix< DynamicMatrix< K > >::operator!= ( const DenseMatrix< Other > & x ) const

inlineconstexprinherited

Binary matrix incomparison.

◆ operator*=()

constexpr derived_type & Dune::DenseMatrix< DynamicMatrix< K > >::operator*= ( const field_type & k )

inlineconstexprinherited

vector space multiplication with scalar

◆ operator+=()

constexpr derived_type & Dune::DenseMatrix< DynamicMatrix< K > >::operator+= ( const DenseMatrix< Other > & x )

inlineconstexprinherited

vector space addition

◆ operator-()

constexpr derived_type Dune::DenseMatrix< DynamicMatrix< K > >::operator- ( ) const

inlineconstexprinherited

Matrix negation.

◆ operator-=()

constexpr derived_type & Dune::DenseMatrix< DynamicMatrix< K > >::operator-= ( const DenseMatrix< Other > & x )

inlineconstexprinherited

vector space subtraction

◆ operator/=()

constexpr derived_type & Dune::DenseMatrix< DynamicMatrix< K > >::operator/= ( const field_type & k )

inlineconstexprinherited

vector space division by scalar

◆ operator=() [1/2]

template<class K >

template<typename T , typename = std::enable_if_t<!Dune::IsNumber<T>::value>>

DynamicMatrix & Dune::DynamicMatrix< K >::operator= ( T const & rhs )

inline

◆ operator=() [2/2]

template<class K >

template<typename T , typename = std::enable_if_t<Dune::IsNumber<T>::value>>

DynamicMatrix & Dune::DynamicMatrix< K >::operator= ( T scalar )

inline

◆ operator==()

constexpr bool Dune::DenseMatrix< DynamicMatrix< K > >::operator== ( const DenseMatrix< Other > & x ) const

inlineconstexprinherited

Binary matrix comparison.

◆ operator[]() [1/2]

constexpr row_reference Dune::DenseMatrix< DynamicMatrix< K > >::operator[] ( size_type i )

inlineconstexprinherited

random access

◆ operator[]() [2/2]

constexpr const_row_reference Dune::DenseMatrix< DynamicMatrix< K > >::operator[] ( size_type i ) const

inlineconstexprinherited

◆ resize()

template<class K >

void Dune::DynamicMatrix< K >::resize	(	size_type	r,
		size_type	c,
		value_type	v = `value_type()`
	)

inline

resize matrix to r × c

Resize the matrix to r × c, using v as the value of all entries.

Warning: All previous entries are lost, even when the matrix was not actually resized.

Parameters

r	number of rows
c	number of columns
v	value of matrix entries

◆ rightmultiply()

DynamicMatrix< K > & Dune::DenseMatrix< DynamicMatrix< K > >::rightmultiply ( const DenseMatrix< M2 > & M )

inlineinherited

Multiplies M from the right to this matrix.

◆ rows()

constexpr size_type Dune::DenseMatrix< DynamicMatrix< K > >::rows ( ) const

inlineconstexprinherited

number of rows

◆ size()

constexpr size_type Dune::DenseMatrix< DynamicMatrix< K > >::size ( ) const

inlineconstexprinherited

size method (number of rows)

◆ solve()

void Dune::DenseMatrix< DynamicMatrix< K > >::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 >

DynamicMatrix Dune::DynamicMatrix< K >::transposed ( ) const

inline

Return transposed of the matrix as DynamicMatrix.

◆ umhv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::umhv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y += A^H x

◆ umtv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::umtv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y += A^T x

◆ umv()

constexpr void Dune::DenseMatrix< DynamicMatrix< K > >::umv	(	const X &	x,
		Y &	y
	)		const

inlineconstexprinherited

y += A x

◆ usmhv()

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

inlineconstexprinherited

y += alpha A^H x

◆ usmtv()

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

inlineconstexprinherited

y += alpha A^T x

◆ usmv()

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

inlineconstexprinherited

y += alpha A x

Member Data Documentation

◆ blocklevel

constexpr int Dune::DenseMatrix< DynamicMatrix< K > >::blocklevel

staticconstexprinherited

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

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

dynmatrix.hh

Public Types

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

◆ DynamicMatrix() [1/4]

◆ DynamicMatrix() [2/4]

◆ DynamicMatrix() [3/4]

◆ DynamicMatrix() [4/4]

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()

◆ 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=() [1/2]

◆ operator=() [2/2]

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ resize()

◆ rightmultiply()

◆ rows()

◆ size()

◆ solve()

◆ transposed()

◆ umhv()

◆ umtv()

◆ umv()