Optimizing/Minimizing multivariant equation with fminunc function

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Afz
Afz 2012-8-22
I want to minimize a multivariate function which is dependent on 5 variables. (a,b,c,d,e) or (x(1),x(2),x(3),x(4),x(5)). I want to optimize/minimize this function to give me values of all 5 variables.
I want to use fminunc function http://www.mathworks.com/help/toolbox/optim/ug/fminunc.html
I need help in using this function. I am looking for exact code to optimization with fminunc that would work for me.
Below both equations are same first one has variables a,b,c,d,e and second has variables x(1),x(2),x(3),x(4),x(5).
Thanks
EQUATION with (a,b,c,d,e) variables
f = @(a,b,c,d,e) (-24951.7481672607*c*e)-(31692.9973208411*b*e)+(3225.11425786636*b*d)-(16419.7612619098*a*e)+(6432.88280411328*a*d)+(21319.7492059262*a*c)-(774.242787454529*d*e)-(969.74514540837*c*d)+(114650.02403548*b*c)+(9559.61986707961*a*b)-(10063.1833861524*(e^2))+(45673.2789241553*(d^2))+(54066.6037689217*(c^2))+(43331.1131990043*(b^2))+(33417.5807194389*(a^2))+ 84490.9661074925*e)-(83022.7768867125*d)-(158265.888247206*c)-(133009.535038023*b)-(76817.465849786*a)+120593.991848581
OR
EQUATION with (x(1),x(2),x(3),x(4),x(5)) variables
f = (-24951.7481672607*(x(3))*(x(5)))-(31692.9973208411*x(2)*x(5))+(3225.11425786636*x(2)*x(4))-(16419.7612619098*x(1)*x(5))+(6432.88280411328*x(1)*x(4))+(21319.7492059262*x(1)*x(3))-(774.242787454529*x(4)*x(5))-(969.74514540837*x(3)*x(4))+(114650.02403548*x(2)*x(3))+(9559.61986707961*x(1)*x(2))-(10063.1833861524*(x(5)^2))+(45673.2789241553*(x(4)^2))+(54066.6037689217*(x(3)^2))+(43331.1131990043*(x(2)^2))+(33417.5807194389*(x(1)^2))+(84490.9661074925*x(5))-(83022.7768867125*x(4))-(158265.888247206*x(3))-(133009.535038023*x(2))-(76817.465849786*x(1))+120593.991848581

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回答（1 个）

Alan Weiss
Alan Weiss 2012-8-22
I suggest you look at the Getting Started documentation for Optimization Toolbox.
In your case, your objective functon f should accept a vector x and return f(x), such as
f = @(x) (-24951.7481672607*(x(3))*(x(5)))-....
Alan Weiss
MATLAB mathematical toolbox documentation
  2 个评论
Afz
Afz 2012-8-22
编辑：Afz 2012-8-22
I followed the Getting started and its giving me this error.
Attempted to access x(3); index out of bounds because numel(x)=1.
I used this equation
EQUATION with (x(1),x(2),x(3),x(4),x(5)) variables
f = (-24951.7481672607*(x(3))*(x(5)))-(31692.9973208411*x(2)*x(5))+(3225.11425786636*x(2)*x(4))-(16419.7612619098*x(1)*x(5))+(6432.88280411328*x(1)*x(4))+(21319.7492059262*x(1)*x(3))-(774.242787454529*x(4)*x(5))-(969.74514540837*x(3)*x(4))+(114650.02403548*x(2)*x(3))+(9559.61986707961*x(1)*x(2))-(10063.1833861524*(x(5)^2))+(45673.2789241553*(x(4)^2))+(54066.6037689217*(x(3)^2))+(43331.1131990043*(x(2)^2))+(33417.5807194389*(x(1)^2))+(84490.9661074925*x(5))-(83022.7768867125*x(4))-(158265.888247206*x(3))-(133009.535038023*x(2))-(76817.465849786*x(1))+120593.991848581

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