SkylineInplaceLU< MatrixType > Class Template Reference

Inplace LU decomposition of a skyline matrix and associated features. More...

#include <SkylineInplaceLU.h>

List of all members.

Public Member Functions
void	compute ()
void	computeRowMajor ()
int	flags () const
int	orderingMethod () const
RealScalar	precision () const
void	setFlags (int f)
void	setOrderingMethod (int m)
void	setPrecision (RealScalar v)
	SkylineInplaceLU (MatrixType &matrix, int flags=0)
template<typename BDerived , typename XDerived >
bool	solve (const MatrixBase< BDerived > &b, MatrixBase< XDerived > *x, const int transposed=0) const
bool	succeeded (void) const
Protected Types
typedef MatrixType::Index	Index
typedef NumTraits< typename MatrixType::Scalar >::Real	RealScalar
typedef MatrixType::Scalar	Scalar
Protected Attributes
int	m_flags
MatrixType &	m_lu
RealScalar	m_precision
int	m_status
bool	m_succeeded

---

Detailed Description

template<typename MatrixType>
class SkylineInplaceLU< MatrixType >

Inplace LU decomposition of a skyline matrix and associated features.

Parameters:

MatrixType

the type of the matrix of which we are computing the LU factorization

Definition at line 38 of file SkylineInplaceLU.h.

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Member Typedef Documentation

template<typename MatrixType >

typedef MatrixType::Index SkylineInplaceLU< MatrixType >::Index [protected]

Definition at line 41 of file SkylineInplaceLU.h.

template<typename MatrixType >

typedef NumTraits<typename MatrixType::Scalar>::Real SkylineInplaceLU< MatrixType >::RealScalar [protected]

Definition at line 43 of file SkylineInplaceLU.h.

template<typename MatrixType >

typedef MatrixType::Scalar SkylineInplaceLU< MatrixType >::Scalar [protected]

Definition at line 40 of file SkylineInplaceLU.h.

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Constructor & Destructor Documentation

template<typename MatrixType >

SkylineInplaceLU< MatrixType >::SkylineInplaceLU	(	MatrixType &	matrix,
		int	flags = 0
	)		[inline]

Creates a LU object and compute the respective factorization of matrix using flags flags.

Definition at line 49 of file SkylineInplaceLU.h.

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Member Function Documentation

template<typename MatrixType >

void SkylineInplaceLU< MatrixType >::compute

(

)

Computes/re-computes the LU factorization

Computes / recomputes the in place LU decomposition of the SkylineInplaceLU. using the default algorithm.

Definition at line 133 of file SkylineInplaceLU.h.

template<typename MatrixType >

void SkylineInplaceLU< MatrixType >::computeRowMajor

(

)

Definition at line 197 of file SkylineInplaceLU.h.

template<typename MatrixType >

int SkylineInplaceLU< MatrixType >::flags

(

)

const [inline]

Returns:

the current flags

Definition at line 89 of file SkylineInplaceLU.h.

template<typename MatrixType >

int SkylineInplaceLU< MatrixType >::orderingMethod

(

)

const [inline]

Definition at line 97 of file SkylineInplaceLU.h.

template<typename MatrixType >

RealScalar SkylineInplaceLU< MatrixType >::precision

(

)

const [inline]

Returns:

the current precision.

See also:

setPrecision()

Definition at line 72 of file SkylineInplaceLU.h.

template<typename MatrixType >

void SkylineInplaceLU< MatrixType >::setFlags

(

int

f

)

[inline]

Sets the flags. Possible values are:

• CompleteFactorization
• IncompleteFactorization
• MemoryEfficient
• one of the ordering methods
• etc...

See also:

flags()

Definition at line 84 of file SkylineInplaceLU.h.

template<typename MatrixType >

void SkylineInplaceLU< MatrixType >::setOrderingMethod

(

int

m

)

[inline]

Definition at line 93 of file SkylineInplaceLU.h.

template<typename MatrixType >

void SkylineInplaceLU< MatrixType >::setPrecision

(

RealScalar

v

)

[inline]

Sets the relative threshold value used to prune zero coefficients during the decomposition.

Setting a value greater than zero speeds up computation, and yields to an imcomplete factorization with fewer non zero coefficients. Such approximate factors are especially useful to initialize an iterative solver.

Note that the exact meaning of this parameter might depends on the actual backend. Moreover, not all backends support this feature.

See also:

precision()

Definition at line 65 of file SkylineInplaceLU.h.

template<typename MatrixType >

template<typename BDerived , typename XDerived >

bool SkylineInplaceLU< MatrixType >::solve	(	const MatrixBase< BDerived > &	b,
		MatrixBase< XDerived > *	x,
		const int	transposed = 0
	)		const

Returns:

the lower triangular matrix L

the upper triangular matrix U

Computes *x = U^-1 L^-1 b

If transpose is set to SvTranspose or SvAdjoint, the solution of the transposed/adjoint system is computed instead.

Not all backends implement the solution of the transposed or adjoint system.

Definition at line 320 of file SkylineInplaceLU.h.

template<typename MatrixType >

bool SkylineInplaceLU< MatrixType >::succeeded

(

void

)

const [inline]

Returns:

true if the factorization succeeded

Definition at line 116 of file SkylineInplaceLU.h.

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Member Data Documentation

template<typename MatrixType >

int SkylineInplaceLU< MatrixType >::m_flags [protected]

Definition at line 122 of file SkylineInplaceLU.h.

template<typename MatrixType >

MatrixType& SkylineInplaceLU< MatrixType >::m_lu [protected]

Definition at line 125 of file SkylineInplaceLU.h.

template<typename MatrixType >

RealScalar SkylineInplaceLU< MatrixType >::m_precision [protected]

Definition at line 121 of file SkylineInplaceLU.h.

template<typename MatrixType >

int SkylineInplaceLU< MatrixType >::m_status [mutable, protected]

Definition at line 123 of file SkylineInplaceLU.h.

template<typename MatrixType >

bool SkylineInplaceLU< MatrixType >::m_succeeded [protected]

Definition at line 124 of file SkylineInplaceLU.h.

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

• SkylineInplaceLU.h