Hello, I'm trying to solve a non linear equation using a computer program. It's a discrete equation and I'm not really sure how to get the Jacobian. This is the equation and how I've approached it
Eqn:
I want to solve this equation for
So, for example:
I let , and (Denominator)
This leaves me with:
At this stage my equation is a function
I differentiate the function next
Differentation with respect to gives me:
(1)
Differentation with respect to gives me:
The program I'm using to solve this equation needs the Jacobian. I know the Jacobian is
The problem is I have no idea how to apply this to the two equations I obtained.
If anyone can help me with this I would be very grateful.