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## Re: [Help-gsl] How to Fit an intracable formula

**From**: |
Brian Gough |

**Subject**: |
Re: [Help-gsl] How to Fit an intracable formula |

**Date**: |
Mon, 12 Jul 2004 13:06:46 +0100 |

Alex Brussee writes:
>* The speed functions attached to the differential steering:*
>* x(t)=Amp1*((1/(tau1-tau2))*exp(t/tau1)-(1/(tau1-tau2))*exp(t/tau2))*
>* y(t)=Amp2*((1/(tau3-tau4))*exp(t/tau3)-(1/(tau3-tau4))*exp(t/tau4))*
>* (just to make clear that the resulting formula is indeed intracable, see *
>* also http://rossum.sourceforge.net/papers/DiffSteer/DiffSteer.html )*
>* *
>* My question:*
>* 1. Is there another (better) way in gsl to fit the generated path using *
>* Amp1,tau1,tau2,Amp2,tau3,tau4 to the data set ?*
>* 2. Is there a way to obtain the partial derivatives by anther procedure, or *
>* did i overlook something ?*
You could compute the derivatives numerically, but the analytical
formula doesn't look too complicated.
--
Brian Gough
Network Theory Ltd,
Commercial support for GSL --- http://www.network-theory.co.uk/gsl/