Eigen::MatrixPowerAtomic< MatrixType > Class Template Reference

Class for computing matrix powers. More...

#include <MatrixPower.h>

Inheritance diagram for Eigen::MatrixPowerAtomic< MatrixType >:

Public Member Functions
void	compute (ResultType &res) const
	Compute the matrix power. More...
	MatrixPowerAtomic (const MatrixType &T, RealScalar p)
	Constructor. More...

Private Types
enum	{ RowsAtCompileTime = MatrixType::RowsAtCompileTime, MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime }
typedef std::complex< RealScalar >	ComplexScalar
typedef MatrixType::RealScalar	RealScalar
typedef Block< MatrixType, Dynamic, Dynamic >	ResultType
typedef MatrixType::Scalar	Scalar

Private Member Functions
void	compute2x2 (ResultType &res, RealScalar p) const
void	computeBig (ResultType &res) const
void	computePade (int degree, const MatrixType &IminusT, ResultType &res) const
Private Member Functions inherited from Eigen::internal::noncopyable
EIGEN_DEVICE_FUNC	noncopyable ()
EIGEN_DEVICE_FUNC	~noncopyable ()

Static Private Member Functions
static ComplexScalar	computeSuperDiag (const ComplexScalar &, const ComplexScalar &, RealScalar p)
static RealScalar	computeSuperDiag (RealScalar, RealScalar, RealScalar p)
static int	getPadeDegree (float normIminusT)
static int	getPadeDegree (double normIminusT)
static int	getPadeDegree (long double normIminusT)

Private Attributes
const MatrixType &	m_A
RealScalar	m_p

Detailed Description

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

Class for computing matrix powers.

Template Parameters

MatrixType

type of the base, expected to be an instantiation of the Matrix class template.

This class is capable of computing triangular real/complex matrices raised to a power in the interval .

Note

Currently this class is only used by MatrixPower. One may insist that this be nested into MatrixPower. This class is here to facilitate future development of triangular matrix functions.

Definition at line 86 of file MatrixPower.h.

Member Typedef Documentation

ComplexScalar

template<typename MatrixType>

typedef std::complex<RealScalar> Eigen::MatrixPowerAtomic< MatrixType >::ComplexScalar

private

Definition at line 95 of file MatrixPower.h.

RealScalar

template<typename MatrixType>

typedef MatrixType::RealScalar Eigen::MatrixPowerAtomic< MatrixType >::RealScalar

private

Definition at line 94 of file MatrixPower.h.

ResultType

template<typename MatrixType>

typedef Block<MatrixType,Dynamic,Dynamic> Eigen::MatrixPowerAtomic< MatrixType >::ResultType

private

Definition at line 96 of file MatrixPower.h.

Scalar

template<typename MatrixType>

typedef MatrixType::Scalar Eigen::MatrixPowerAtomic< MatrixType >::Scalar

private

Definition at line 93 of file MatrixPower.h.

Member Enumeration Documentation

anonymous enum

template<typename MatrixType>

anonymous enum

private

Enumerator
RowsAtCompileTime
MaxRowsAtCompileTime

Definition at line 89 of file MatrixPower.h.

Constructor & Destructor Documentation

MatrixPowerAtomic()

template<typename MatrixType >

Eigen::MatrixPowerAtomic< MatrixType >::MatrixPowerAtomic	(	const MatrixType &	T,
		RealScalar	p
	)

Constructor.

Parameters

[in]	T	the base of the matrix power.
[in]	p	the exponent of the matrix power, should be in .

The class stores a reference to T, so it should not be changed (or destroyed) before evaluation. Only the upper triangular part of T is read.

Definition at line 134 of file MatrixPower.h.

Member Function Documentation

compute()

template<typename MatrixType >

void Eigen::MatrixPowerAtomic< MatrixType >::compute

(

ResultType &

res

)

const

Compute the matrix power.

Parameters

[out]

res

where A and p are specified in the constructor.

Definition at line 142 of file MatrixPower.h.

compute2x2()

template<typename MatrixType >

void Eigen::MatrixPowerAtomic< MatrixType >::compute2x2 ( ResultType &  res, RealScalar  p  ) const

private

Definition at line 174 of file MatrixPower.h.

computeBig()

template<typename MatrixType >

void Eigen::MatrixPowerAtomic< MatrixType >::computeBig ( ResultType &  res ) const

private

Definition at line 193 of file MatrixPower.h.

computePade()

template<typename MatrixType >

void Eigen::MatrixPowerAtomic< MatrixType >::computePade ( int  degree, const MatrixType &  IminusT, ResultType &  res  ) const

private

Definition at line 160 of file MatrixPower.h.

computeSuperDiag() [1/2]

template<typename MatrixType >

MatrixPowerAtomic< MatrixType >::ComplexScalar Eigen::MatrixPowerAtomic< MatrixType >::computeSuperDiag ( const ComplexScalar &  curr, const ComplexScalar &  prev, RealScalar  p  )

inlinestaticprivate

Definition at line 291 of file MatrixPower.h.

computeSuperDiag() [2/2]

template<typename MatrixType >

MatrixPowerAtomic< MatrixType >::RealScalar Eigen::MatrixPowerAtomic< MatrixType >::computeSuperDiag ( RealScalar  curr, RealScalar  prev, RealScalar  p  )

inlinestaticprivate

Definition at line 307 of file MatrixPower.h.

getPadeDegree() [1/3]

template<typename MatrixType >

int Eigen::MatrixPowerAtomic< MatrixType >::getPadeDegree ( float  normIminusT )

inlinestaticprivate

Definition at line 235 of file MatrixPower.h.

getPadeDegree() [2/3]

template<typename MatrixType >

int Eigen::MatrixPowerAtomic< MatrixType >::getPadeDegree ( double  normIminusT )

inlinestaticprivate

Definition at line 246 of file MatrixPower.h.

getPadeDegree() [3/3]

template<typename MatrixType >

int Eigen::MatrixPowerAtomic< MatrixType >::getPadeDegree ( long double  normIminusT )

inlinestaticprivate

Definition at line 258 of file MatrixPower.h.

Member Data Documentation

m_A

template<typename MatrixType>

const MatrixType& Eigen::MatrixPowerAtomic< MatrixType >::m_A

private

Definition at line 98 of file MatrixPower.h.

m_p

template<typename MatrixType>

RealScalar Eigen::MatrixPowerAtomic< MatrixType >::m_p

private

Definition at line 99 of file MatrixPower.h.

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

• MatrixPower.h