Optimization nonlinear function with several variable

i have nonlinear function and the constraint have lower and upper boundary.

f(x,y,z)
0<=x<=2 , 0<=y<=1, -1<=z<=1

i want to optimize this function to find the max value. define g(x,y,z)=-f(x,y,z) since we want to find the max. How to use the fminsearch/fmincon on this fucntion in MATLAB?

Answer 1

[Walter Roberson]

A = []; b = [];
Aeq = []; beq = [];
lb = [0 0 -1];
ub = [2 1 1];
nonlcon = [];

g = @(xyz) -f(xyz(1), xyz(2), xyz(3));

[bestxyz, fval] = fmincon(g, A, b, Aeq, beq, lb, ub, nonlcon);

[Torsten]

xyz0 = [1;0.5;0]
[bestxyz, fval] = fmincon(g, xyz0, A, b, Aeq, beq, lb, ub);

[Asshaa]

f= @(xyz) 8+2.*x+2.*y.*(4-x.^2)+3.*(4-x.^2).*(1-y.^2)+((1/4).*x.^6+(x.^2).*(y.^2).*((4-x.^2).^2)+(9/4).*(x.^2).*(y.^4).*((4-x.^2).^2)+(x.^4).*(4-x.^2).*y.*z-(3/2).*(x.^4).*(y.^2).*(4-x.^2).*(2.*(z.^2)-1)-(3.*(x.^2).*(4-(x.^2)).*(y.^3).*z)).^(1/2);
g = @(xyz) -f(xyz(1),xyz(2),xyz(3));
A = []; 
b = [];
Aeq = []; 
beq = [];
lb = [0 0 -1];
ub = [2 1 1];
nonlcon = [];

xyz0=[1;0.5;0];
[bestxyz, fval] = fmincon(g,xyz0, A, b, Aeq, beq, lb, ub, nonlcon);

how shall i correct this?

[Walter Roberson]

f= @(xyz)

should be

f= @(x, y, z)