Optimization of Branin function

The problem goes as follows:

find the optima for Branin's function using MATLAB

 f=@(x1,x2) (x2-(5.1/(4*pi^2))*x1^2+(5/pi)*x1-6)^2+10*(1-(1/(8*pi)))*cos(x1)+10;

where -5<=x1<=10, 0<=x2<=15

How do I optimize (minimize) this multivariable constraint function?

Thanks for the help

[Matt J]

x = fmincon(@(p) f(p(1),p(2)) ,x0,A,b,Aeq,beq,lb,ub);

Answer 1

[Matt J]

FMINCON would be applicable.

[Nick Chatz]

Thank you, fmincon is what I'm trying to use. The thing is I'm not sure on how i define the different constraints for each variable.

[Matt J]

Your constraints are simple bounds, so you would use the lb,ub arguments described in the documentation

x = fmincon(fun,x0,A,b,Aeq,beq,lb,ub);

here lb=[-5,0], ub=[10,15].

[Nick Chatz]

Thanks a lot