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! >