How to graphically represent the global minimum of an optimization problem with more than two variables?

I am trying to find the global minimum of the function with 'k' variables using global optimzation algorithms. The function can be represented as

f(x1,x2,..,xk) = a*x1+b*x2+...+k*xk

where a,b,..,k are complex constants & x1,x2,..,xk are the optimization variables which are also complex numbers. The global minimum is obtained at the minimum norm of the function. I have the optimized values and the minimum norm. How can I graphically represent the results?

Please help..

Thanks

Jazir

Answer 1

[John D'Errico]

Do you have a multi-dimensional holographic monitor? Yes, I know, this will not be invented for many years if ever, but that is what you need. Or, something like it. Perhaps you can contact Starfleet command. Sadly, it may tke a long time for UPS to deliver such a thing. I've had mine on order for god knows how long. When I check, all they tell me is something about the Borg holding up deliveries.

The point is, you can't.

At best, you can draw pictures of slices of the function near the solution, with all but two variables held fixed.