Hi I am attempting implicitly describe a state space using a polynomial where any point in the state space results in the polynomial being negative, otherwise it should be positive. I might have formulated the problem incorrectly so apollogies in advance.
I need to find the coeffiencents of the following 4 variable polynomial (10 total r_i's):
Its kind of like curve fitting, but I dont actuall have any data points. I would appreciate anyone helping point me in the correct direction or even what this kind of optimization is called.