itk::Math::detail Namespace Reference

Functions
template<unsigned int VRows, unsigned int VColumns, typename TReal>
void	MatrixExponentialEigen (const TReal *inData, TReal *outData)
template<typename TReal>
void	MatrixExponentialEigen (const TReal *inData, TReal *outData, unsigned int n)

Detailed Description

Matrix exponential exp(A) for a real square matrix, backed by Eigen.

Replacement for the removed vnl_matrix_exp. Delegates to Eigen's MatrixBase::exp(), which uses scaling-and-squaring with a degree-13 Pade approximant (Higham, SIAM J. Matrix Anal. Appl. 26(4), 2005) – more robust than the truncated Taylor series formerly provided by vnl_matrix_exp.

Function Documentation

MatrixExponentialEigen() [1/2]

template<unsigned int VRows, unsigned int VColumns, typename TReal>

void itk::Math::detail::MatrixExponentialEigen	(	const TReal *	inData,
		TReal *	outData )

Definition at line 45 of file itkMatrixExponential.h.

Referenced by itk::Math::MatrixExponential(), itk::Math::MatrixExponential(), and itk::Math::MatrixExponential().

MatrixExponentialEigen() [2/2]

template<typename TReal>

void itk::Math::detail::MatrixExponentialEigen	(	const TReal *	inData,
		TReal *	outData,
		unsigned int	n )

Definition at line 55 of file itkMatrixExponential.h.