MATLAB: Finding minimum values for two-unknown equation!!!

equationfminsearchhypotminimize

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

Best Answer

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])

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I will let you adapt it for more circles. That will require doing the find(inpolygon( ...)), sort, plot, and fill calls for each two-circle intersection. This would become complicated for more than two intersecting circles in the same area, but is probably possible.

Best Answer

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