How to find global minimum of a schwefel function

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Atinesh Singh
Atinesh Singh on 1 Dec 2016
Commented: Mohammad Basil on 16 Apr 2021
I am trying to find the global minimum of a schwefel function which is 0 at [420.9687,..., 420.9687]. I have used 'fmincon', Particle swarm Optimization algorithm (I'm using my code for this approach) and some other evolutionary algorithms. But none of them is giving global minimum at 0, All are giving some large positive value. Can anybody tell me how can I find global minimum of the schwefel function.
function y = schwefel(x)
s = sum(-x.*sin(sqrt(abs(x))));
y = 418.9829*length(x) + s;
end
  1 Comment
Pedro
Pedro on 29 Mar 2020
Its a benchmark function, it has many local minima in a short space
So general purpose algorithms get stock in its multiple minima

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Answers (2)

Sulaymon Eshkabilov
Sulaymon Eshkabilov on 29 Mar 2020
You can try optimization toolbox's fsolve nonlinear equation solver with "Trust region dogleg" algorithm.

amir ansari
amir ansari on 5 Sep 2020
you can try cuckoo search on this problem, schwefel function is a hard function for optimizition algorithm even PSO..but cuckoo can solve it better... trust me!

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