MatrixFunctionAtomic< MatrixType > Class Template Reference

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

#include <MatrixFunctionAtomic.h>

List of all members.

Public Types
typedef MatrixType::Index	Index
typedef NumTraits< Scalar >::Real	RealScalar
typedef MatrixType::Scalar	Scalar
typedef internal::stem_function < Scalar >::type	StemFunction
typedef Matrix< Scalar, MatrixType::RowsAtCompileTime, 1 >	VectorType
Public Member Functions
MatrixType	compute (const MatrixType &A)
	Compute matrix function of atomic matrix.
	MatrixFunctionAtomic (StemFunction f)
	Constructor.
Private Member Functions
void	computeMu ()
	Compute m_mu.
	MatrixFunctionAtomic (const MatrixFunctionAtomic &)
MatrixFunctionAtomic &	operator= (const MatrixFunctionAtomic &)
bool	taylorConverged (Index s, const MatrixType &F, const MatrixType &Fincr, const MatrixType &P)
	Determine whether Taylor series has converged.
Private Attributes
Index	m_Arows
	Size of matrix function.
MatrixType	m_Ashifted
	Argument shifted by mean of eigenvalues.
Scalar	m_avgEival
	Mean of eigenvalues.
StemFunction *	m_f
	Pointer to scalar function.
RealScalar	m_mu
	Constant used to determine whether Taylor series has converged.

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Detailed Description

template<typename MatrixType>
class MatrixFunctionAtomic< MatrixType >

Helper class for computing matrix functions of atomic matrices.

Definition at line 37 of file MatrixFunctionAtomic.h.

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Member Typedef Documentation

template<typename MatrixType>

typedef MatrixType::Index MatrixFunctionAtomic< MatrixType >::Index

Definition at line 42 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

typedef NumTraits<Scalar>::Real MatrixFunctionAtomic< MatrixType >::RealScalar

Definition at line 43 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

typedef MatrixType::Scalar MatrixFunctionAtomic< MatrixType >::Scalar

Definition at line 41 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

typedef internal::stem_function<Scalar>::type MatrixFunctionAtomic< MatrixType >::StemFunction

Definition at line 44 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> MatrixFunctionAtomic< MatrixType >::VectorType

Definition at line 45 of file MatrixFunctionAtomic.h.

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Constructor & Destructor Documentation

template<typename MatrixType>

MatrixFunctionAtomic< MatrixType >::MatrixFunctionAtomic

(

StemFunction

f

)

[inline]

Constructor.

Parameters:

[in]

f

matrix function to compute.

Definition at line 50 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

MatrixFunctionAtomic< MatrixType >::MatrixFunctionAtomic

(

const MatrixFunctionAtomic< MatrixType > &

)

[private]

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Member Function Documentation

template<typename MatrixType >

MatrixType MatrixFunctionAtomic< MatrixType >::compute

(

const MatrixType &

A

)

[inline]

Compute matrix function of atomic matrix.

Parameters:

[in]

A

argument of matrix function, should be upper triangular and atomic

Returns:

f(A), the matrix function evaluated at the given matrix

Definition at line 84 of file MatrixFunctionAtomic.h.

template<typename MatrixType >

void MatrixFunctionAtomic< MatrixType >::computeMu

(

)

[inline, private]

Compute m_mu.

Definition at line 108 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

MatrixFunctionAtomic& MatrixFunctionAtomic< MatrixType >::operator=

(

const MatrixFunctionAtomic< MatrixType > &

)

[private]

template<typename MatrixType >

bool MatrixFunctionAtomic< MatrixType >::taylorConverged	(	Index	s,
		const MatrixType &	F,
		const MatrixType &	Fincr,
		const MatrixType &	P
	)			[inline, private]

Determine whether Taylor series has converged.

Definition at line 118 of file MatrixFunctionAtomic.h.

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Member Data Documentation

template<typename MatrixType>

Index MatrixFunctionAtomic< MatrixType >::m_Arows [private]

Size of matrix function.

Definition at line 71 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

MatrixType MatrixFunctionAtomic< MatrixType >::m_Ashifted [private]

Argument shifted by mean of eigenvalues.

Definition at line 77 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

Scalar MatrixFunctionAtomic< MatrixType >::m_avgEival [private]

Mean of eigenvalues.

Definition at line 74 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

StemFunction* MatrixFunctionAtomic< MatrixType >::m_f [private]

Pointer to scalar function.

Definition at line 68 of file MatrixFunctionAtomic.h.

template<typename MatrixType>

RealScalar MatrixFunctionAtomic< MatrixType >::m_mu [private]

Constant used to determine whether Taylor series has converged.

Definition at line 80 of file MatrixFunctionAtomic.h.

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

• MatrixFunctionAtomic.h