Finding global minimum with rand

I'm supposed to use the MATLAB function "rand" to generate a large number of random vectors in 3-space, with coordinates between −6 and 6. Then I have to evaluate f at those points to find the minimum. But I don't know if I'm doing it correctly. My function is f(x, y,z) = x^4 + y^4 + z^4 − 3*x^2 − 8*y^2 − 6*x*z − 4*x*y − 10*z^2 + 6*y. Here's what I have so far:

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Torsten
Torsten 2022-4-2
编辑:Torsten 2022-4-2
fumin = Inf;
for i = 1:100000
u = -6 + 12*rand(3,1);
fu = f(u);
if fu < fumin
umin = u;
fumin = fu;
end
end

3 个评论

I'm getting these errors when I use that code:
Array indices must be positive integers or logical values.
Error in sym/subsref (line 909)
R_tilde = builtin('subsref',L_tilde,Idx);
This error message cannot stem from my code above.
At least if f is defined as you showed us:
f = @(u) u(1)^4 ... etc.
Oh ok, I didn't add that in. Thanks.

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