Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix. More...

#include <SparseSelfAdjointView.h>

Inheritance diagram for Eigen::SparseSelfAdjointView< MatrixType, _Mode >:

Public Types
enum	{ Mode = _Mode, TransposeMode = ((Mode & Upper) ? Lower : 0) \| ((Mode & Lower) ? Upper : 0), RowsAtCompileTime = internal::traits<SparseSelfAdjointView>::RowsAtCompileTime, ColsAtCompileTime = internal::traits<SparseSelfAdjointView>::ColsAtCompileTime }

typedef internal::remove_all< MatrixTypeNested >::type	_MatrixTypeNested

typedef EigenBase< SparseSelfAdjointView >	Base

typedef internal::ref_selector< MatrixType >::non_const_type	MatrixTypeNested

typedef MatrixType::Scalar	Scalar

typedef MatrixType::StorageIndex	StorageIndex

typedef Matrix< StorageIndex, Dynamic, 1 >	VectorI

Public Types inherited from Eigen::EigenBase< SparseSelfAdjointView< MatrixType, _Mode > >
typedef Eigen::Index	Index
	The interface type of indices. More...

typedef internal::traits< SparseSelfAdjointView< MatrixType, _Mode > >::StorageKind	StorageKind

Public Member Functions
Index	cols () const

internal::remove_reference< MatrixTypeNested >::type &	matrix ()

const _MatrixTypeNested &	matrix () const

template<typename OtherDerived >
Product< SparseSelfAdjointView, OtherDerived >	operator* (const MatrixBase< OtherDerived > &rhs) const

template<typename OtherDerived >
Product< SparseSelfAdjointView, OtherDerived >	operator* (const SparseMatrixBase< OtherDerived > &rhs) const

SparseSelfAdjointView &	operator= (const SparseSelfAdjointView &src)

template<typename SrcMatrixType , unsigned int SrcMode>
SparseSelfAdjointView &	operator= (const SparseSelfAdjointView< SrcMatrixType, SrcMode > &src)

template<typename SrcMatrixType , int SrcMode>
SparseSelfAdjointView &	operator= (const SparseSymmetricPermutationProduct< SrcMatrixType, SrcMode > &permutedMatrix)

template<typename DerivedU >
SparseSelfAdjointView< MatrixType, Mode > &	rankUpdate (const SparseMatrixBase< DerivedU > &u, const Scalar &alpha)

template<typename DerivedU >
SparseSelfAdjointView &	rankUpdate (const SparseMatrixBase< DerivedU > &u, const Scalar &alpha=Scalar(1))

void	resize (Index rows, Index cols)

Index	rows () const

	SparseSelfAdjointView (MatrixType &matrix)

SparseSymmetricPermutationProduct< _MatrixTypeNested, Mode >	twistedBy (const PermutationMatrix< Dynamic, Dynamic, StorageIndex > &perm) const

Public Member Functions inherited from Eigen::EigenBase< SparseSelfAdjointView< MatrixType, _Mode > >
EIGEN_DEVICE_FUNC void	addTo (Dest &dst) const

EIGEN_DEVICE_FUNC void	applyThisOnTheLeft (Dest &dst) const

EIGEN_DEVICE_FUNC void	applyThisOnTheRight (Dest &dst) const

EIGEN_DEVICE_FUNC Index	cols () const

EIGEN_DEVICE_FUNC SparseSelfAdjointView< MatrixType, _Mode > &	const_cast_derived () const

const EIGEN_DEVICE_FUNC SparseSelfAdjointView< MatrixType, _Mode > &	const_derived () const

EIGEN_DEVICE_FUNC SparseSelfAdjointView< MatrixType, _Mode > &	derived ()

const EIGEN_DEVICE_FUNC SparseSelfAdjointView< MatrixType, _Mode > &	derived () const

EIGEN_DEVICE_FUNC void	evalTo (Dest &dst) const

EIGEN_DEVICE_FUNC Index	rows () const

EIGEN_DEVICE_FUNC Index	size () const

EIGEN_DEVICE_FUNC void	subTo (Dest &dst) const

Protected Attributes
MatrixTypeNested	m_matrix

Private Member Functions
template<typename Dest >
void	evalTo (Dest &) const

Friends
template<typename OtherDerived >
Product< OtherDerived, SparseSelfAdjointView >	operator* (const MatrixBase< OtherDerived > &lhs, const SparseSelfAdjointView &rhs)

template<typename OtherDerived >
Product< OtherDerived, SparseSelfAdjointView >	operator* (const SparseMatrixBase< OtherDerived > &lhs, const SparseSelfAdjointView &rhs)

Detailed Description

template<typename MatrixType, unsigned int _Mode>
class Eigen::SparseSelfAdjointView< MatrixType, _Mode >

Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix.

Parameters

MatrixType	the type of the dense matrix storing the coefficients
Mode	can be either `Lower` or `Upper`

This class is an expression of a sefladjoint matrix from a triangular part of a matrix with given dense storage of the coefficients. It is the return type of MatrixBase::selfadjointView() and most of the time this is the only way that it is used.

See also: SparseMatrixBase::selfadjointView()

Definition at line 43 of file SparseSelfAdjointView.h.

Member Typedef Documentation

◆ _MatrixTypeNested

template<typename MatrixType , unsigned int _Mode>

typedef internal::remove_all<MatrixTypeNested>::type Eigen::SparseSelfAdjointView< MatrixType, _Mode >::_MatrixTypeNested

Definition at line 60 of file SparseSelfAdjointView.h.

◆ Base

template<typename MatrixType , unsigned int _Mode>

typedef EigenBase<SparseSelfAdjointView> Eigen::SparseSelfAdjointView< MatrixType, _Mode >::Base

Definition at line 55 of file SparseSelfAdjointView.h.

◆ MatrixTypeNested

template<typename MatrixType , unsigned int _Mode>

typedef internal::ref_selector<MatrixType>::non_const_type Eigen::SparseSelfAdjointView< MatrixType, _Mode >::MatrixTypeNested

Definition at line 59 of file SparseSelfAdjointView.h.

◆ Scalar

template<typename MatrixType , unsigned int _Mode>

typedef MatrixType::Scalar Eigen::SparseSelfAdjointView< MatrixType, _Mode >::Scalar

Definition at line 56 of file SparseSelfAdjointView.h.

◆ StorageIndex

template<typename MatrixType , unsigned int _Mode>

typedef MatrixType::StorageIndex Eigen::SparseSelfAdjointView< MatrixType, _Mode >::StorageIndex

Definition at line 57 of file SparseSelfAdjointView.h.

◆ VectorI

template<typename MatrixType , unsigned int _Mode>

typedef Matrix<StorageIndex,Dynamic,1> Eigen::SparseSelfAdjointView< MatrixType, _Mode >::VectorI

Definition at line 58 of file SparseSelfAdjointView.h.

Member Enumeration Documentation

◆ anonymous enum

template<typename MatrixType , unsigned int _Mode>

anonymous enum

Enumerator
Mode
TransposeMode
RowsAtCompileTime
ColsAtCompileTime

Definition at line 48 of file SparseSelfAdjointView.h.

Constructor & Destructor Documentation

◆ SparseSelfAdjointView()

template<typename MatrixType , unsigned int _Mode>

Eigen::SparseSelfAdjointView< MatrixType, _Mode >::SparseSelfAdjointView ( MatrixType & matrix )

inlineexplicit

Definition at line 62 of file SparseSelfAdjointView.h.

Member Function Documentation

◆ cols()

template<typename MatrixType , unsigned int _Mode>

Index Eigen::SparseSelfAdjointView< MatrixType, _Mode >::cols ( ) const

inline

Definition at line 68 of file SparseSelfAdjointView.h.

◆ evalTo()

template<typename MatrixType , unsigned int _Mode>

template<typename Dest >

void Eigen::SparseSelfAdjointView< MatrixType, _Mode >::evalTo ( Dest & ) const

private

◆ matrix() [1/2]

template<typename MatrixType , unsigned int _Mode>

internal::remove_reference<MatrixTypeNested>::type& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::matrix ( )

inline

Definition at line 72 of file SparseSelfAdjointView.h.

◆ matrix() [2/2]

template<typename MatrixType , unsigned int _Mode>

const _MatrixTypeNested& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::matrix ( ) const

inline

Definition at line 71 of file SparseSelfAdjointView.h.

◆ operator*() [1/2]

template<typename MatrixType , unsigned int _Mode>

template<typename OtherDerived >

Product<SparseSelfAdjointView,OtherDerived> Eigen::SparseSelfAdjointView< MatrixType, _Mode >::operator* ( const MatrixBase< OtherDerived > & rhs ) const

inline

Efficient sparse self-adjoint matrix times dense vector/matrix product

Definition at line 101 of file SparseSelfAdjointView.h.

◆ operator*() [2/2]

template<typename MatrixType , unsigned int _Mode>

template<typename OtherDerived >

Product<SparseSelfAdjointView, OtherDerived> Eigen::SparseSelfAdjointView< MatrixType, _Mode >::operator* ( const SparseMatrixBase< OtherDerived > & rhs ) const

inline

Returns: an expression of the matrix product between a sparse self-adjoint matrix *this and a sparse matrix rhs.

Note that there is no algorithmic advantage of performing such a product compared to a general sparse-sparse matrix product. Indeed, the SparseSelfadjointView operand is first copied into a temporary SparseMatrix before computing the product.

Definition at line 81 of file SparseSelfAdjointView.h.

◆ operator=() [1/3]

template<typename MatrixType , unsigned int _Mode>

SparseSelfAdjointView& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::operator= ( const SparseSelfAdjointView< MatrixType, _Mode > & src )

inline

Definition at line 139 of file SparseSelfAdjointView.h.

◆ operator=() [2/3]

template<typename MatrixType , unsigned int _Mode>

template<typename SrcMatrixType , unsigned int SrcMode>

SparseSelfAdjointView& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::operator= ( const SparseSelfAdjointView< SrcMatrixType, SrcMode > & src )

inline

Definition at line 146 of file SparseSelfAdjointView.h.

◆ operator=() [3/3]

template<typename MatrixType , unsigned int _Mode>

template<typename SrcMatrixType , int SrcMode>

SparseSelfAdjointView& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::operator= ( const SparseSymmetricPermutationProduct< SrcMatrixType, SrcMode > & permutedMatrix )

inline

Definition at line 133 of file SparseSelfAdjointView.h.

◆ rankUpdate() [1/2]

template<typename MatrixType , unsigned int _Mode>

template<typename DerivedU >

SparseSelfAdjointView<MatrixType,Mode>& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::rankUpdate	(	const SparseMatrixBase< DerivedU > &	u,
		const Scalar &	alpha
	)

Definition at line 194 of file SparseSelfAdjointView.h.

◆ rankUpdate() [2/2]

template<typename MatrixType , unsigned int _Mode>

template<typename DerivedU >

SparseSelfAdjointView& Eigen::SparseSelfAdjointView< MatrixType, _Mode >::rankUpdate	(	const SparseMatrixBase< DerivedU > &	u,
		const Scalar &	alpha = `Scalar(1)`
	)

Perform a symmetric rank K update of the selfadjoint matrix *this: $this = this + \alpha ( u u^* )$ where u is a vector or matrix.

Returns: a reference to *this

To perform $this = this + \alpha ( u^* u )$ you can simply call this function with u.adjoint().

◆ resize()

template<typename MatrixType , unsigned int _Mode>

void Eigen::SparseSelfAdjointView< MatrixType, _Mode >::resize	(	Index	rows,
		Index	cols
	)

inline

Definition at line 152 of file SparseSelfAdjointView.h.

◆ rows()

template<typename MatrixType , unsigned int _Mode>

Index Eigen::SparseSelfAdjointView< MatrixType, _Mode >::rows ( ) const

inline

Definition at line 67 of file SparseSelfAdjointView.h.

◆ twistedBy()

template<typename MatrixType , unsigned int _Mode>

SparseSymmetricPermutationProduct<_MatrixTypeNested,Mode> Eigen::SparseSelfAdjointView< MatrixType, _Mode >::twistedBy ( const PermutationMatrix< Dynamic, Dynamic, StorageIndex > & perm ) const

inline

Returns: an expression of P H P^-1

Definition at line 127 of file SparseSelfAdjointView.h.

Friends And Related Function Documentation

◆ operator* [1/2]

template<typename MatrixType , unsigned int _Mode>

template<typename OtherDerived >

Product<OtherDerived,SparseSelfAdjointView> operator*	(	const MatrixBase< OtherDerived > &	lhs,
		const SparseSelfAdjointView< MatrixType, _Mode > &	rhs
	)

friend

Efficient dense vector/matrix times sparse self-adjoint matrix product

Definition at line 109 of file SparseSelfAdjointView.h.

◆ operator* [2/2]

template<typename MatrixType , unsigned int _Mode>

template<typename OtherDerived >

Product<OtherDerived, SparseSelfAdjointView> operator*	(	const SparseMatrixBase< OtherDerived > &	lhs,
		const SparseSelfAdjointView< MatrixType, _Mode > &	rhs
	)

friend

Returns: an expression of the matrix product between a sparse matrix lhs and a sparse self-adjoint matrix rhs.

Note that there is no algorithmic advantage of performing such a product compared to a general sparse-sparse matrix product. Indeed, the SparseSelfadjointView operand is first copied into a temporary SparseMatrix before computing the product.

Definition at line 93 of file SparseSelfAdjointView.h.

Member Data Documentation

◆ m_matrix

template<typename MatrixType , unsigned int _Mode>

MatrixTypeNested Eigen::SparseSelfAdjointView< MatrixType, _Mode >::m_matrix

protected

Definition at line 162 of file SparseSelfAdjointView.h.

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

SparseSelfAdjointView.h

Public Types

Public Member Functions

Protected Attributes

Private Member Functions

Friends

Detailed Description

template<typename MatrixType, unsigned int _Mode> class Eigen::SparseSelfAdjointView< MatrixType, _Mode >

Member Typedef Documentation

◆ _MatrixTypeNested

◆ Base

◆ MatrixTypeNested

◆ Scalar

◆ StorageIndex

◆ VectorI

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ SparseSelfAdjointView()

Member Function Documentation

◆ cols()

◆ evalTo()

◆ matrix() [1/2]

◆ matrix() [2/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ rankUpdate() [1/2]

◆ rankUpdate() [2/2]

◆ resize()

◆ rows()

◆ twistedBy()

Friends And Related Function Documentation

◆ operator* [1/2]

◆ operator* [2/2]

Member Data Documentation

◆ m_matrix

template<typename MatrixType, unsigned int _Mode>
class Eigen::SparseSelfAdjointView< MatrixType, _Mode >