Isn't the gradient of x_j with respect to a_j just Sum_{j=1}^n (x_i)^b?
On Thursday, September 8, 2016 at 1:08:51 PM UTC-7, Mathieu
Taschereau-Dumouchel wrote:
>
> Hello everyone!
>
> I have the following system of n equations
>
> x_j= a_j * Sum_{j=1}^n (x_i)^b
>
> where 0<b<1 is known. Given a set of a_j, I can solve for the vector x by
> iterating on the equation. But I would like to know the gradient of the
> each x_j with respect to a_j. I am wondering if I could use ForwardDiff.jl
> or another Julia package in some way to do this. Any help would be
> appreciated.
>
> Many thanks!
>
