https://github.com/JuliaDiff/ForwardDiff.jl does this.

I use it all the time to compute jacobians of R^N -> R^N functions (the 
jacobian of the residual equations in non linear material modeling).

On Saturday, November 28, 2015 at 5:41:55 PM UTC+1, Patrick Kofod Mogensen 
wrote:
>
> So I have a map from a set of strategies of players to the best response 
> of each player given the original strategies (a discrete probability 
> distribution for each player). I want to find the jacobian of this mapping, 
> because I need to calculate the spectral radius of it. I am using finite 
> differences at the moment, but I would like to use automatic 
> differentiation.
>
> Is this possible? I can't seem to find a JuliaDiff package that does it. 
> Should I just do it for each element of my best-response mapping one at a 
> time? So I get N functions from R^N to R ? (really it's from (0,1)^N to 
> (0,1), but...)
>
> Best,
> Patrick
>

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