Eigen::internal::matrix_exp_computeUV< MatrixType, RealScalar > Struct Template Reference

#include <unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h>

Detailed Description

template<typename MatrixType, typename RealScalar = typename NumTraits<typename traits<MatrixType>::Scalar>::Real>
struct Eigen::internal::matrix_exp_computeUV< MatrixType, RealScalar >

Compute the (17,17)-Padé approximant to the exponential.

After exit, \( (V+U)(V-U)^{-1} \) is the Padé approximant of \( \exp(A) \) around \( A = 0 \).

This function activates only if your long double is double-double or quadruple.

Static Public Member Functions
static void	run (const MatrixType &arg, MatrixType &U, MatrixType &V, int &squarings)
	Compute Padé approximant to the exponential.

Member Function Documentation

run()

template<typename MatrixType, typename RealScalar = typename NumTraits<typename traits<MatrixType>::Scalar>::Real>

static void Eigen::internal::matrix_exp_computeUV< MatrixType, RealScalar >::run ( const MatrixType & arg, MatrixType & U, MatrixType & V, int & squarings )

static

Compute Padé approximant to the exponential.

Computes U, V and squarings such that \( (V+U)(V-U)^{-1} \) is a Padé approximant of \( \exp(2^{-\mbox{squarings}}M) \) around \( M = 0 \), where \( M \) denotes the matrix arg. The degree of the Padé approximant and the value of squarings are chosen such that the approximation error is no more than the round-off error.

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

• /builds/libeigen/eigen/unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h