expm.hpp File Reference

Includes functions for matrix exponentiation. More...

#include "math.hpp"

Go to the source code of this file.

Classes
struct	controlpp::ExpmPadeParams
	Pade for the scaled pade matrix exponential. More...

Namespaces
namespace	controlpp
	The main namespace for the Control++ library.

Functions
template<class T , int Rows, int Cols, int Options, int MaxRows, int MaxCols>
Eigen::Matrix< T, Rows, Cols, Options, MaxRows, MaxCols >	controlpp::expm_taylor (const Eigen::Matrix< T, Rows, Cols, Options, MaxRows, MaxCols > &x, int n)
	Exponential function with a taylor approximation.
template<class T , int Rows, int Cols, int Options, int MaxRows, int MaxCols>
Eigen::Matrix< T, Rows, Cols, Options, MaxRows, MaxCols >	controlpp::expm_taylor_scaled (const Eigen::Matrix< T, Rows, Cols, Options, MaxRows, MaxCols > &M, int taylor_order=8, int scaling=10)
	Calculates the matrix exponent \( \exp{\mathbf{M}} \).
template<class T , int N, int Options, int MaxRows, int MaxCols>
Eigen::Matrix< T, N, N >	controlpp::expm_pade (const Eigen::Matrix< T, N, N, Options, MaxRows, MaxCols > &A, int Order=5)
	Approximates \(\exp{A}\) using a pade fraction.
template<class T , int N, int Options, int MaxRows, int MaxCols>
Eigen::Matrix< T, N, N >	controlpp::expm_pade_scaled (const Eigen::Matrix< T, N, N, Options, MaxRows, MaxCols > &M, int order, int scaling)
	Applies scaling and squaring to the pade approximation of the matrix exponential.
template<class T , int N, int Options, int MaxRows, int MaxCols>
ExpmPadeParams	controlpp::expm_pade_params (const Eigen::Matrix< T, N, N, Options, MaxRows, MaxCols > &M)
	Determines the order and scaling factor for the scaled pade approximation of the matrix exponential.
template<class T , int N, int Options, int MaxRows, int MaxCols>
Eigen::Matrix< T, N, N >	controlpp::expm_pade_scaled (const Eigen::Matrix< T, N, N, Options, MaxRows, MaxCols > &M)
	Matrix exponential using a scaled Pade approximation with automatic order and scaling factor determination.
template<class T , int N, int Options, int MaxRows, int MaxCols>
Eigen::Matrix< T, N, N >	controlpp::expm (const Eigen::Matrix< T, N, N, Options, MaxRows, MaxCols > &M)
	Calculates the matrix exponent \( \exp{\mathbf{M}} \).

Detailed Description

Includes functions for matrix exponentiation.