What is the purpose of fminimax?

Is fminimax(@myFun1, x0) equivalent to fminunc(@myFun2, x0), where myFun1 and myFun2 are defined as follows:

function myFun1(x)
return [f1(x) f2(x) f3(x)];
end

function myFun2(x)
return max([f1(x) f2(x) f3(x)]);
end

and f1, f2, f3 are some arbitrary functions. If so, what's the use of fminimax? Does it perform better?

[Matt J]

I think you really meant to define myFun1 and myFun2 as follows,

     function out=myFun1(x)
      out = [f1(x) f2(x) f3(x)];
     end

    function out=myFun2(x)
       out=max([f1(x) f2(x) f3(x)]);
    end

Answer 1

[Alan Weiss]

Look at the end of this page to see a short discussion of this topic.

Alan Weiss

MATLAB mathematical toolbox documentation

[Matt J]

and f1, f2, f3 are some arbitrary functions.

Related to what Alan's link mentions, the functions f1, f2,f3 cannot be arbitrary. FMINIMAX assumes that they are differentiable as well.