File containing functions for best rational approximation to matrix exponential. More...
#include <stdlib.h>#include <math.h>#include <string.h>#include "solver_options.h"#include "linear-algebra.h"#include <complex.h>#include <fftw3.h>
Include dependency graph for cf.c:
Go to the source code of this file.
Macros | |
| #define | M_PI 4 * atan(1) |
Functions | |
| void | cf (int n, double *poles_r, double *poles_i, double *res_r, double *res_i) |
| Function that calculates the poles and residuals of best rational (partial fraction) approximant to the matrix exponential. More... | |
Detailed Description
File containing functions for best rational approximation to matrix exponential.
- Date
- 07/19/2012
Contains main and linear algebra functions for Carathéodory-Fejér method of Rational Approximants
Definition in file cf.c.
Macro Definition Documentation
◆ M_PI
Function Documentation
◆ cf()
| void cf | ( | int | n, |
| double * | poles_r, | ||
| double * | poles_i, | ||
| double * | res_r, | ||
| double * | res_i | ||
| ) |
Function that calculates the poles and residuals of best rational (partial fraction) approximant to the matrix exponential.
Complex math Fast Fourier tranform functionsUses the Carathéodory-Fejér method; based on the MATLAB code in L.N. Trefethen, J.A.C. Weideman, T. Schmelzer, "Talbot quadratures and rational approximations," BIT Numer. Math. 46 (2006) 653–670.
- Parameters
-
[in] n size of approximation (n, n) [out] poles_r array with real parts of poles, size n [out] poles_i array with imaginary parts of poles, size n [out] res_r array with real parts of residuals, size n [out] res_i array with imaginary parts of residuals, size n
