A general Cholesky factorization and solver based on Cholmod. More...

#include <CholmodSupport.h>

Inheritance diagram for Eigen::CholmodDecomposition< _MatrixType, _UpLo >:

Public Types
typedef _MatrixType	MatrixType

Public Types inherited from Eigen::CholmodBase< _MatrixType, Lower, CholmodDecomposition< _MatrixType, Lower > >
enum

enum

typedef _MatrixType	MatrixType

typedef MatrixType::Scalar	Scalar

typedef MatrixType::RealScalar	RealScalar

typedef MatrixType	CholMatrixType

typedef MatrixType::StorageIndex	StorageIndex

Public Member Functions
	CholmodDecomposition ()

	CholmodDecomposition (const MatrixType &matrix)

	~CholmodDecomposition ()

void	setMode (CholmodMode mode)

Public Member Functions inherited from Eigen::CholmodBase< _MatrixType, Lower, CholmodDecomposition< _MatrixType, Lower > >
	CholmodBase ()

	CholmodBase (const MatrixType &matrix)

	~CholmodBase ()

StorageIndex	cols () const

StorageIndex	rows () const

ComputationInfo	info () const
	Reports whether previous computation was successful. More...

CholmodDecomposition< _MatrixType, Lower > &	compute (const MatrixType &matrix)

void	analyzePattern (const MatrixType &matrix)

void	factorize (const MatrixType &matrix)

cholmod_common &	cholmod ()

void	_solve_impl (const MatrixBase< Rhs > &b, MatrixBase< Dest > &dest) const

void	_solve_impl (const SparseMatrixBase< RhsDerived > &b, SparseMatrixBase< DestDerived > &dest) const

CholmodDecomposition< _MatrixType, Lower > &	setShift (const RealScalar &offset)

Scalar	determinant () const

Scalar	logDeterminant () const

void	dumpMemory (Stream &)

Public Member Functions inherited from Eigen::SparseSolverBase< Derived >
	SparseSolverBase ()

	~SparseSolverBase ()

Derived &	derived ()

const Derived &	derived () const

template<typename Rhs >
const Solve< Derived, Rhs >	solve (const MatrixBase< Rhs > &b) const

template<typename Rhs >
const Solve< Derived, Rhs >	solve (const SparseMatrixBase< Rhs > &b) const

template<typename Rhs , typename Dest >
void	_solve_impl (const SparseMatrixBase< Rhs > &b, SparseMatrixBase< Dest > &dest) const

Protected Member Functions
void	init ()

Protected Member Functions inherited from Eigen::CholmodBase< _MatrixType, Lower, CholmodDecomposition< _MatrixType, Lower > >
CholmodDecomposition< _MatrixType, Lower > &	derived ()

const CholmodDecomposition< _MatrixType, Lower > &	derived () const

Private Types
typedef CholmodBase< _MatrixType, _UpLo, CholmodDecomposition >	Base

Private Attributes
cholmod_common	m_cholmod

Additional Inherited Members
Protected Types inherited from Eigen::CholmodBase< _MatrixType, Lower, CholmodDecomposition< _MatrixType, Lower > >
typedef SparseSolverBase< CholmodDecomposition< _MatrixType, Lower > >	Base

Protected Attributes inherited from Eigen::CholmodBase< _MatrixType, Lower, CholmodDecomposition< _MatrixType, Lower > >
cholmod_common	m_cholmod

cholmod_factor *	m_cholmodFactor

double	m_shiftOffset [2]

ComputationInfo	m_info

int	m_factorizationIsOk

int	m_analysisIsOk

bool	m_isInitialized

Protected Attributes inherited from Eigen::SparseSolverBase< Derived >
bool	m_isInitialized

Detailed Description

template<typename _MatrixType, int _UpLo = Lower>
class Eigen::CholmodDecomposition< _MatrixType, _UpLo >

A general Cholesky factorization and solver based on Cholmod.

This class allows to solve for A.X = B sparse linear problems via a LL^T or LDL^T Cholesky factorization using the Cholmod library. The sparse matrix A must be selfadjoint and positive definite. The vectors or matrices X and B can be either dense or sparse.

This variant permits to change the underlying Cholesky method at runtime. On the other hand, it does not provide access to the result of the factorization. The default is to let Cholmod automatically choose between a simplicial and supernodal factorization.

Template Parameters

_MatrixType	the type of the sparse matrix A, it must be a SparseMatrix<>
_UpLo	the triangular part that will be used for the computations. It can be Lower or Upper. Default is Lower.

\implsparsesolverconcept

This class supports all kind of SparseMatrix<>: row or column major; upper, lower, or both; compressed or non compressed.

Warning: Only double precision real and complex scalar types are supported by Cholmod.

See also: TutorialSparseSolverConcept