Eigen::PastixLLT< _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::PastixLLT< _MatrixType, _UpLo >:

List of all members.

Public Types
enum	{ UpLo = _UpLo }
typedef PastixBase< PastixLLT < MatrixType, _UpLo > >	Base
typedef Base::ColSpMatrix	ColSpMatrix
typedef _MatrixType	MatrixType
Public Member Functions
void	analyzePattern (const MatrixType &matrix)
void	compute (const MatrixType &matrix)
void	factorize (const MatrixType &matrix)
	PastixLLT ()
	PastixLLT (const MatrixType &matrix)
Protected Member Functions
void	grabMatrix (const MatrixType &matrix, ColSpMatrix &out)
void	init ()

---

Detailed Description

template<typename _MatrixType, int _UpLo>
class Eigen::PastixLLT< _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 LL^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 541 of file PaStiXSupport.h.

---

Member Typedef Documentation

template<typename _MatrixType , int _UpLo>

typedef PastixBase<PastixLLT<MatrixType, _UpLo> > Eigen::PastixLLT< _MatrixType, _UpLo >::Base

Definition at line 545 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

typedef Base::ColSpMatrix Eigen::PastixLLT< _MatrixType, _UpLo >::ColSpMatrix

Reimplemented from Eigen::PastixBase< PastixLLT< _MatrixType, _UpLo > >.

Definition at line 546 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

typedef _MatrixType Eigen::PastixLLT< _MatrixType, _UpLo >::MatrixType

Reimplemented from Eigen::PastixBase< PastixLLT< _MatrixType, _UpLo > >.

Definition at line 544 of file PaStiXSupport.h.

---

Member Enumeration Documentation

template<typename _MatrixType , int _UpLo>

anonymous enum

Enumerator:

UpLo

Definition at line 549 of file PaStiXSupport.h.

---

Constructor & Destructor Documentation

template<typename _MatrixType , int _UpLo>

Eigen::PastixLLT< _MatrixType, _UpLo >::PastixLLT

(

)

[inline]

Definition at line 550 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

Eigen::PastixLLT< _MatrixType, _UpLo >::PastixLLT

(

const MatrixType &

matrix

)

[inline]

Definition at line 555 of file PaStiXSupport.h.

---

Member Function Documentation

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLLT< _MatrixType, _UpLo >::analyzePattern

(

const MatrixType &

matrix

)

[inline]

Compute the LL^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 575 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLLT< _MatrixType, _UpLo >::compute

(

const MatrixType &

matrix

)

[inline]

Compute the L factor of the LL^T supernodal factorization of matrix

See also:

analyzePattern() factorize()

Definition at line 564 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLLT< _MatrixType, _UpLo >::factorize

(

const MatrixType &

matrix

)

[inline]

Compute the LL^T supernodal numerical factorization of matrix

See also:

analyzePattern()

Definition at line 584 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLLT< _MatrixType, _UpLo >::grabMatrix	(	const MatrixType &	matrix,
		ColSpMatrix &	out
	)		[inline, protected]

Definition at line 599 of file PaStiXSupport.h.

template<typename _MatrixType , int _UpLo>

void Eigen::PastixLLT< _MatrixType, _UpLo >::init

(

)

[inline, protected]

Reimplemented from Eigen::PastixBase< PastixLLT< _MatrixType, _UpLo > >.

Definition at line 593 of file PaStiXSupport.h.

---

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

• PaStiXSupport.h