Eigen::MatrixLogarithmAtomic< MatrixType > Class Template Reference

Helper class for computing matrix logarithm of atomic matrices. More...

#include <MatrixLogarithm.h>

Public Types
typedef NumTraits< Scalar >::Real	RealScalar
typedef MatrixType::Scalar	Scalar

Public Member Functions
MatrixType	compute (const MatrixType &A)
	Compute matrix logarithm of atomic matrix. More...
	MatrixLogarithmAtomic ()
	Constructor. More...

Private Member Functions
void	compute2x2 (const MatrixType &A, MatrixType &result)
	Compute logarithm of 2x2 triangular matrix. More...
void	computeBig (const MatrixType &A, MatrixType &result)
	Compute logarithm of triangular matrices with size > 2. More...
void	computePade (MatrixType &result, const MatrixType &T, int degree)
void	computePade10 (MatrixType &result, const MatrixType &T)
void	computePade11 (MatrixType &result, const MatrixType &T)
void	computePade3 (MatrixType &result, const MatrixType &T)
void	computePade4 (MatrixType &result, const MatrixType &T)
void	computePade5 (MatrixType &result, const MatrixType &T)
void	computePade6 (MatrixType &result, const MatrixType &T)
void	computePade7 (MatrixType &result, const MatrixType &T)
void	computePade8 (MatrixType &result, const MatrixType &T)
void	computePade9 (MatrixType &result, const MatrixType &T)
int	getPadeDegree (float normTminusI)
int	getPadeDegree (double normTminusI)
int	getPadeDegree (long double normTminusI)
	MatrixLogarithmAtomic (const MatrixLogarithmAtomic &)
MatrixLogarithmAtomic &	operator= (const MatrixLogarithmAtomic &)

Static Private Attributes
static const int	maxPadeDegree
static const int	minPadeDegree = 3

Detailed Description

template<typename MatrixType>
class Eigen::MatrixLogarithmAtomic< MatrixType >

Helper class for computing matrix logarithm of atomic matrices.

Definition at line 31 of file MatrixLogarithm.h.

Member Typedef Documentation

template<typename MatrixType >

typedef NumTraits<Scalar>::Real Eigen::MatrixLogarithmAtomic< MatrixType >::RealScalar

Definition at line 37 of file MatrixLogarithm.h.

template<typename MatrixType >

typedef MatrixType::Scalar Eigen::MatrixLogarithmAtomic< MatrixType >::Scalar

Definition at line 35 of file MatrixLogarithm.h.

Constructor & Destructor Documentation

template<typename MatrixType >

Eigen::MatrixLogarithmAtomic< MatrixType >::MatrixLogarithmAtomic ( )

inline

Constructor.

Definition at line 42 of file MatrixLogarithm.h.

template<typename MatrixType >

Eigen::MatrixLogarithmAtomic< MatrixType >::MatrixLogarithmAtomic ( const MatrixLogarithmAtomic< MatrixType > &  )

private

Member Function Documentation

template<typename MatrixType >

MatrixType Eigen::MatrixLogarithmAtomic< MatrixType >::compute

(

const MatrixType &

A

)

Compute matrix logarithm of atomic matrix.

Compute logarithm of triangular matrix with clustered eigenvalues.

Parameters

[in]

A

argument of matrix logarithm, should be upper triangular and atomic

Returns

The logarithm of A.

Definition at line 82 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::compute2x2 ( const MatrixType &  A, MatrixType &  result  )

private

Compute logarithm of 2x2 triangular matrix.

Definition at line 97 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computeBig ( const MatrixType &  A, MatrixType &  result  )

private

Compute logarithm of triangular matrices with size > 2.

This uses a inverse scale-and-square algorithm.

Definition at line 126 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade ( MatrixType &  result, const MatrixType &  T, int  degree  )

private

Definition at line 216 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade10 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 363 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade11 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 385 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade3 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 233 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade4 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 249 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade5 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 265 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade6 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 283 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade7 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 301 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade8 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 321 of file MatrixLogarithm.h.

template<typename MatrixType >

void Eigen::MatrixLogarithmAtomic< MatrixType >::computePade9 ( MatrixType &  result, const MatrixType &  T  )

private

Definition at line 341 of file MatrixLogarithm.h.

template<typename MatrixType >

int Eigen::MatrixLogarithmAtomic< MatrixType >::getPadeDegree ( float  normTminusI )

private

Definition at line 159 of file MatrixLogarithm.h.

template<typename MatrixType >

int Eigen::MatrixLogarithmAtomic< MatrixType >::getPadeDegree ( double  normTminusI )

private

Definition at line 172 of file MatrixLogarithm.h.

template<typename MatrixType >

int Eigen::MatrixLogarithmAtomic< MatrixType >::getPadeDegree ( long double  normTminusI )

private

Definition at line 185 of file MatrixLogarithm.h.

template<typename MatrixType >

MatrixLogarithmAtomic& Eigen::MatrixLogarithmAtomic< MatrixType >::operator= ( const MatrixLogarithmAtomic< MatrixType > &  )

private

Member Data Documentation

template<typename MatrixType >

const int Eigen::MatrixLogarithmAtomic< MatrixType >::maxPadeDegree

staticprivate

Initial value:

= std::numeric_limits<RealScalar>::digits<= 24?  5:  
                                   std::numeric_limits<RealScalar>::digits<= 53?  7:  
                                   std::numeric_limits<RealScalar>::digits<= 64?  8:  
                                   std::numeric_limits<RealScalar>::digits<=106? 10:  
                                                                                 11

Definition at line 69 of file MatrixLogarithm.h.

template<typename MatrixType >

const int Eigen::MatrixLogarithmAtomic< MatrixType >::minPadeDegree = 3

staticprivate

Definition at line 68 of file MatrixLogarithm.h.

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

• MatrixLogarithm.h