- #1
FOIWATER
Gold Member
- 434
- 12
Hi,
I have a small two dimensional nonlinear objective that has a very well defined minimum and maximum. Here is the function:
$$f(x,y)=2(1-x)^{2}e^{-x^{2}-(y+2)^{2}}-9(\frac{x}{5}-x^{3}-y^{5})e^{-x^{2}-y^{2}}-\frac{1}{5}e^{-(x-1)^{2}-y^{2}}$$
Attached is it's plot and contour.
Notice this nonlinear function is only 2 dimensional in its arguements.
I am trying to code my own MATLAB function that will solve nonlinear optimizations (no constraints, at the moment) faster than the standard solver.
I want to test it against a large objective, I am thinking 50 or 60 arguements. I would like a function which has a well defined global minimum. Does anyone know of one which is?
I could extend the one above, but I want to be sure before I test with it..
Any help appreciated!
I have a small two dimensional nonlinear objective that has a very well defined minimum and maximum. Here is the function:
$$f(x,y)=2(1-x)^{2}e^{-x^{2}-(y+2)^{2}}-9(\frac{x}{5}-x^{3}-y^{5})e^{-x^{2}-y^{2}}-\frac{1}{5}e^{-(x-1)^{2}-y^{2}}$$
Attached is it's plot and contour.
Notice this nonlinear function is only 2 dimensional in its arguements.
I am trying to code my own MATLAB function that will solve nonlinear optimizations (no constraints, at the moment) faster than the standard solver.
I want to test it against a large objective, I am thinking 50 or 60 arguements. I would like a function which has a well defined global minimum. Does anyone know of one which is?
I could extend the one above, but I want to be sure before I test with it..
Any help appreciated!