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, RowsAtCompileTime = internal::traits<SparseSelfAdjointView>::RowsAtCompileTime, ColsAtCompileTime = internal::traits<SparseSelfAdjointView>::ColsAtCompileTime }

typedef EigenBase< SparseSelfAdjointView >	Base

typedef MatrixType::Scalar	Scalar

typedef MatrixType::StorageIndex	StorageIndex

typedef Matrix< StorageIndex, Dynamic, 1 >	VectorI

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

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

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
	SparseSelfAdjointView (MatrixType &matrix)

Index	rows () const

Index	cols () const

const _MatrixTypeNested &	matrix () const

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

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

template<typename OtherDerived >
Product< SparseSelfAdjointView, OtherDerived >	operator* (const MatrixBase< OtherDerived > &rhs) const
	Efficient sparse self-adjoint matrix times dense vector/matrix product.

template<typename DerivedU >
SparseSelfAdjointView &	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. More...

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

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

SparseSelfAdjointView &	operator= (const SparseSelfAdjointView &src)

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

void	resize (Index rows, Index cols)

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

Public Member Functions inherited from Eigen::EigenBase< SparseSelfAdjointView< MatrixType, _Mode > >
EIGEN_DEVICE_FUNC SparseSelfAdjointView< MatrixType, _Mode > &	derived ()

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

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

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

EIGEN_DEVICE_FUNC Index	rows () const

EIGEN_DEVICE_FUNC Index	cols () const

EIGEN_DEVICE_FUNC Index	size () const

EIGEN_DEVICE_FUNC void	evalTo (Dest &dst) const

EIGEN_DEVICE_FUNC void	addTo (Dest &dst) const

EIGEN_DEVICE_FUNC void	subTo (Dest &dst) const

EIGEN_DEVICE_FUNC void	applyThisOnTheRight (Dest &dst) const

EIGEN_DEVICE_FUNC void	applyThisOnTheLeft (Dest &dst) const

Protected Attributes
MatrixTypeNested	m_matrix

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

template<typename OtherDerived >
Product< OtherDerived, SparseSelfAdjointView >	operator* (const MatrixBase< OtherDerived > &lhs, const SparseSelfAdjointView &rhs)
	Efficient dense vector/matrix times sparse self-adjoint matrix product.

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()

Member Function Documentation

§ operator*()

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.

§ rankUpdate()

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().

§ 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

Friends And Related Function Documentation

§ operator*

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.

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

third-party-libs/eigen3/Eigen/src/SparseCore/SparseSelfAdjointView.h

Public Types

Public Member Functions

Protected Attributes

Friends

Detailed Description

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

Member Function Documentation

§ operator*()

§ rankUpdate()

§ twistedBy()

Friends And Related Function Documentation

§ operator*

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