Eigen::PastixLDLT< _MatrixType, _UpLo > Class Template Reference

A sparse direct supernodal Cholesky (LLT) factorization and solver based on the PaStiX library. More...

#include <PaStiXSupport.h>

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

Collaboration diagram for Eigen::PastixLDLT< _MatrixType, _UpLo >:

Public Types
enum	{ UpLo = _UpLo }
typedef _MatrixType	MatrixType
typedef PastixBase< PastixLDLT< MatrixType, _UpLo > >	Base
typedef Base::ColSpMatrix	ColSpMatrix
Public Types inherited from Eigen::PastixBase< PastixLDLT< _MatrixType, _UpLo > >
typedef internal::pastix_traits< PastixLDLT< _MatrixType, _UpLo > >::MatrixType	_MatrixType
typedef _MatrixType	MatrixType
typedef MatrixType::Scalar	Scalar
typedef MatrixType::RealScalar	RealScalar
typedef MatrixType::Index	Index
typedef Matrix< Scalar, Dynamic, 1 >	Vector
typedef SparseMatrix< Scalar, ColMajor >	ColSpMatrix

Public Member Functions
	PastixLDLT (const MatrixType &matrix)
void	compute (const MatrixType &matrix)
void	analyzePattern (const MatrixType &matrix)
void	factorize (const MatrixType &matrix)
Public Member Functions inherited from Eigen::PastixBase< PastixLDLT< _MatrixType, _UpLo > >
const internal::solve_retval< PastixBase, Rhs >	solve (const MatrixBase< Rhs > &b) const
const internal::sparse_solve_retval< PastixBase, Rhs >	solve (const SparseMatrixBase< Rhs > &b) const
bool	_solve (const MatrixBase< Rhs > &b, MatrixBase< Dest > &x) const
PastixLDLT< _MatrixType, _UpLo > &	derived ()
const PastixLDLT< _MatrixType, _UpLo > &	derived () const
Array< Index, IPARM_SIZE, 1 > &	iparm ()
int &	iparm (int idxparam)
Array< RealScalar, IPARM_SIZE, 1 > &	dparm ()
double &	dparm (int idxparam)
Index	cols () const
Index	rows () const
ComputationInfo	info () const
	Reports whether previous computation was successful. More...

Protected Member Functions
void	init ()
void	grabMatrix (const MatrixType &matrix, ColSpMatrix &out)
Protected Member Functions inherited from Eigen::PastixBase< PastixLDLT< _MatrixType, _UpLo > >
void	init ()
void	analyzePattern (ColSpMatrix &mat)
void	factorize (ColSpMatrix &mat)
void	clean ()
void	compute (ColSpMatrix &mat)

Additional Inherited Members
Protected Attributes inherited from Eigen::PastixBase< PastixLDLT< _MatrixType, _UpLo > >
int	m_initisOk
int	m_analysisIsOk
int	m_factorizationIsOk
bool	m_isInitialized
ComputationInfo	m_info
pastix_data_t *	m_pastixdata
int	m_comm
Matrix< int, IPARM_SIZE, 1 >	m_iparm
Matrix< double, DPARM_SIZE, 1 >	m_dparm
Matrix< Index, Dynamic, 1 >	m_perm
Matrix< Index, Dynamic, 1 >	m_invp
int	m_size

Detailed Description

template<typename _MatrixType, int _UpLo>
class Eigen::PastixLDLT< _MatrixType, _UpLo >

A sparse direct supernodal Cholesky (LLT) factorization and solver based on the PaStiX library.

This class is used to solve the linear systems A.X = B via a LDL^T supernodal Cholesky factorization available in the PaStiX library. The matrix A should be symmetric and positive definite WARNING Selfadjoint complex matrices are not supported in the current version of PaStiX The vectors or matrices X and B can be either dense or sparse

Template Parameters

MatrixType	the type of the sparse matrix A, it must be a SparseMatrix<>
UpLo	The part of the matrix to use : Lower or Upper. The default is Lower as required by PaStiX

See also

TutorialSparseDirectSolvers

Definition at line 25 of file PaStiXSupport.h.

Member Function Documentation

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLDLT< _MatrixType, _UpLo >::analyzePattern ( const MatrixType &  matrix )

inline

Compute the LDL^T symbolic factorization of matrix using its sparsity pattern The result of this operation can be used with successive matrices having the same pattern as matrix

See also

factorize()

Definition at line 656 of file PaStiXSupport.h.

    { 
      ColSpMatrix temp;
      grabMatrix(matrix, temp);
      Base::analyzePattern(temp);
    }

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLDLT< _MatrixType, _UpLo >::compute ( const MatrixType &  matrix )

inline

Compute the L and D factors of the LDL^T factorization of matrix

See also

analyzePattern() factorize()

Definition at line 645 of file PaStiXSupport.h.

    {
      ColSpMatrix temp;
      grabMatrix(matrix, temp);
      Base::compute(temp);
    }

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLDLT< _MatrixType, _UpLo >::factorize ( const MatrixType &  matrix )

inline

Compute the LDL^T supernodal numerical factorization of matrix

Definition at line 665 of file PaStiXSupport.h.

    {
      ColSpMatrix temp;
      grabMatrix(matrix, temp);
      Base::factorize(temp);
    }

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

• C:/Users/Brig/Documents/ShapeWorksStudio/src/Surfworks/Eigen/src/PaStiXSupport/PaStiXSupport.h