How to replace a value in function

Hello, I automate the following function

       f=@(x)0;
       for i=1:3
           h=@(x)x(i)^2
           f=@(x) f(x) +h(x) % f= x(1)^2+x(2)^2+x(3)^2 
       end

The ISSUE IS:I want to replace x(3) =3 , so that the function would instead represent f=x(1)^2+x(2)^2+9. Is it possible?

Background information: My main goal is to to automatically create an abstract function (not necessarily the one mentioned above), replace it with known values of x and minimize it.

Any help whatsoever is hugely appreciated!

Thank you, Ela

Answer 1

[Image Analyst]

Abandon all that complicated nonsense, and simply do this:

x = 1 : 3;
f = sum(x.^2)

[Elanorin Weaving]

The actual function i want to minimize is something like:

((((x(3)-x(1))^2 + (x(4)-x(2))^2 -25)/25)^2 +(((x(5)-x(1))^2 + (x(6)-x(2))^2 -9)/9)^2) +2*x(2)

I am able to generate the function. Although would appreciate a more optimal way.

The ISSUE is, I want to substitue x(4)=5, x(3) = 4 so that the function would look like ((((4-x(1))^2 + (5-x(2))^2 -25)/25)^2 +(((x(5)-x(1))^2 + (x(6)-x(2))^2 -9)/9)^2) +2*x(2)

and I can minimize the above.

Answer 2

[Azzi Abdelmalek]

f=@(x) x^2
som=0
for k=1:3
  som=som+f(k)
end

[Elanorin Weaving]

Thanks for the response! I don't have problems creating the function, but rather replacing a variable in function.

For eg: I am able to create f(x) = x(1)^2+x(2)^2. Is there anyway to make the function f(x) = x(1)^2 + 4, and minimize it.

Thanks again!

[Azzi Abdelmalek]

f=@(x) sum(x.^2)
f(1:3)