Finding minimum values for two-unknown equation!!!
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Hello,
'a' 'b' 'c' 'd' are known in the equation. We are trying to find values for 'x' and 'y' that minimizes 'F'
Is it possible to insert this function directly in to Matlab? If yes, how can we minimize?
Thanks
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Accepted Answer
Star Strider
on 21 May 2014
This works:
a = 3;
b = 5;
c = 7;
d = 13;
% % x = xy(1), y = xy(2)
F = @(xy) hypot(xy(1)-a, xy(2)-b) + hypot(xy(1)-c, xy(2)-d)
[xy, fval] = fminsearch(F,[1 1])
4 Comments
Star Strider
on 23 May 2014
Edited: Star Strider
on 23 May 2014
You have two errors that I see that will cause your loop to fail:
- Don’t define F as F(ti,:). Just define it as F and then call it as F in fminsearch. Also, F(ti,:) or F should not be on the right side of the equation. You are correct in putting it in the loop, since apparently you are defining different constants ( r, BS ) in it. Test F outside the loop on one set of parameters before you put it in the loop, then with fminsearch. That way, you know it works, what it returns, and that it works with fminsearch.
- In your fminsearch output in the loop, xy has 2 elements ( x and y ), so return it as either [xy(ti,:),fval] or [xy(:,ti),fval] depending on whether it returns xy at each iteration as a row or column vector. Also, I suggest you store fval as well, so you know the function minimum at each iteration. This may be of interest to you later.
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