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

#include <SparseSelfAdjointView.h>

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

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

typedef MatrixType::Index	Index

typedef MatrixType::Nested	MatrixTypeNested

typedef MatrixType::Scalar	Scalar

typedef Matrix< Index, Dynamic, 1 >	VectorI

Public Types inherited from Eigen::EigenBase< SparseSelfAdjointView< MatrixType, UpLo > >
typedef internal::traits< SparseSelfAdjointView< MatrixType, UpLo > >::Index	Index

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

Public Member Functions
Index	cols () const

template<typename DestScalar , int StorageOrder>
void	evalTo (SparseMatrix< DestScalar, StorageOrder, Index > &_dest) const

template<typename DestScalar >
void	evalTo (DynamicSparseMatrix< DestScalar, ColMajor, Index > &_dest) const

const _MatrixTypeNested &	matrix () const

_MatrixTypeNested &	matrix ()

template<typename OtherDerived >
SparseSparseProduct< typename OtherDerived::PlainObject, OtherDerived >	operator* (const SparseMatrixBase< OtherDerived > &rhs) const

template<typename OtherDerived >
SparseSelfAdjointTimeDenseProduct< MatrixType, OtherDerived, UpLo >	operator* (const MatrixBase< OtherDerived > &rhs) const

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

SparseSelfAdjointView &	operator= (const SparseSelfAdjointView &src)

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

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

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

Index	rows () const

	SparseSelfAdjointView (const MatrixType &matrix)

SparseSymmetricPermutationProduct< _MatrixTypeNested, UpLo >	twistedBy (const PermutationMatrix< Dynamic, Dynamic, Index > &perm) const

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

void	applyThisOnTheLeft (Dest &dst) const

void	applyThisOnTheRight (Dest &dst) const

Index	cols () const

SparseSelfAdjointView< MatrixType, UpLo > &	const_cast_derived () const

const SparseSelfAdjointView< MatrixType, UpLo > &	const_derived () const

SparseSelfAdjointView< MatrixType, UpLo > &	derived ()

const SparseSelfAdjointView< MatrixType, UpLo > &	derived () const

void	evalTo (Dest &dst) const

Index	rows () const

Index	size () const

void	subTo (Dest &dst) const

Protected Attributes
VectorI	m_countPerCol

VectorI	m_countPerRow

MatrixType::Nested	m_matrix

Friends
template<typename OtherDerived >
SparseSparseProduct< OtherDerived, typename OtherDerived::PlainObject >	operator* (const SparseMatrixBase< OtherDerived > &lhs, const SparseSelfAdjointView &rhs)

template<typename OtherDerived >
DenseTimeSparseSelfAdjointProduct< OtherDerived, MatrixType, UpLo >	operator* (const MatrixBase< OtherDerived > &lhs, const SparseSelfAdjointView &rhs)

Detailed Description

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

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

Parameters

MatrixType	the type of the dense matrix storing the coefficients
UpLo	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 49 of file SparseSelfAdjointView.h.

Member Typedef Documentation

template<typename MatrixType, unsigned int UpLo>

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

Definition at line 58 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

typedef MatrixType::Index Eigen::SparseSelfAdjointView< MatrixType, UpLo >::Index

Definition at line 55 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

typedef MatrixType::Nested Eigen::SparseSelfAdjointView< MatrixType, UpLo >::MatrixTypeNested

Definition at line 57 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

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

Definition at line 54 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

typedef Matrix<Index,Dynamic,1> Eigen::SparseSelfAdjointView< MatrixType, UpLo >::VectorI

Definition at line 56 of file SparseSelfAdjointView.h.

Constructor & Destructor Documentation

template<typename MatrixType, unsigned int UpLo>

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

inline

Definition at line 60 of file SparseSelfAdjointView.h.

Member Function Documentation

template<typename MatrixType, unsigned int UpLo>

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

inline

Definition at line 66 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename DestScalar , int StorageOrder>

void Eigen::SparseSelfAdjointView< MatrixType, UpLo >::evalTo ( SparseMatrix< DestScalar, StorageOrder, Index > & _dest ) const

inline

Definition at line 124 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename DestScalar >

void Eigen::SparseSelfAdjointView< MatrixType, UpLo >::evalTo ( DynamicSparseMatrix< DestScalar, ColMajor, Index > & _dest ) const

inline

Definition at line 129 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

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

inline

Definition at line 69 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

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

inline

Definition at line 70 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename OtherDerived >

SparseSparseProduct<typename OtherDerived::PlainObject, OtherDerived> Eigen::SparseSelfAdjointView< MatrixType, UpLo >::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 79 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename OtherDerived >

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

inline

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

Definition at line 99 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename SrcMatrixType , int SrcUpLo>

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

inline

Definition at line 144 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

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

inline

Definition at line 151 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename SrcMatrixType , unsigned int SrcUpLo>

SparseSelfAdjointView& Eigen::SparseSelfAdjointView< MatrixType, UpLo >::operator= ( const SparseSelfAdjointView< SrcMatrixType, SrcUpLo > & src )

inline

Definition at line 158 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename DerivedU >

SparseSelfAdjointView& Eigen::SparseSelfAdjointView< MatrixType, UpLo >::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().

template<typename MatrixType, unsigned int UpLo>

template<typename DerivedU >

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

Definition at line 200 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

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

inline

Definition at line 65 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

SparseSymmetricPermutationProduct<_MatrixTypeNested,UpLo> Eigen::SparseSelfAdjointView< MatrixType, UpLo >::twistedBy ( const PermutationMatrix< Dynamic, Dynamic, Index > & perm ) const

inline

Returns: an expression of P H P^-1

Definition at line 138 of file SparseSelfAdjointView.h.

Friends And Related Function Documentation

template<typename MatrixType, unsigned int UpLo>

template<typename OtherDerived >

SparseSparseProduct<OtherDerived, typename OtherDerived::PlainObject > operator*	(	const SparseMatrixBase< OtherDerived > &	lhs,
		const SparseSelfAdjointView< MatrixType, UpLo > &	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 91 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

template<typename OtherDerived >

DenseTimeSparseSelfAdjointProduct<OtherDerived,MatrixType,UpLo> operator*	(	const MatrixBase< OtherDerived > &	lhs,
		const SparseSelfAdjointView< MatrixType, UpLo > &	rhs
	)

friend

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

Definition at line 107 of file SparseSelfAdjointView.h.

Member Data Documentation

template<typename MatrixType, unsigned int UpLo>

VectorI Eigen::SparseSelfAdjointView< MatrixType, UpLo >::m_countPerCol

mutableprotected

Definition at line 172 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

VectorI Eigen::SparseSelfAdjointView< MatrixType, UpLo >::m_countPerRow

mutableprotected

Definition at line 171 of file SparseSelfAdjointView.h.

template<typename MatrixType, unsigned int UpLo>

MatrixType::Nested Eigen::SparseSelfAdjointView< MatrixType, UpLo >::m_matrix

protected

Definition at line 170 of file SparseSelfAdjointView.h.

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

SparseSelfAdjointView.h

Public Types

Public Member Functions

Protected Attributes

Friends

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation

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