# Minimization with multiple of equations

2 views (last 30 days)
lo on 17 Mar 2014
Edited: Azzi Abdelmalek on 17 Mar 2014
I want to minimize H for the input x, and as the code shown below, x affects other variables like A,B,T,y,z,F, and finally the H.
O=[706;524;1072]
D=[1049,1142,766]
c=[7 12.4 19.9;12.4 7 19.1;19.9 19.1 7]
syms x
f=c.^-x
syms A1 A2 A3 B1 B2 B3
A=[A1;A2;A3]
B=[B1,B2,B3]
j=1:3;
A1=(sum(D(j).*f(1,j)))^-1;
A2=(sum(D(j).*f(2,j)))^-1;
A3=(sum(D(j).*f(3,j)))^-1;
i=1:3;
B1=(sum(A(i).*O(i).*f(i,1)))^-1;
B2=(sum(A(i).*O(i).*f(i,2)))^-1;
B3=(sum(A(i).*O(i).*f(i,3)))^-1;
for i=1:3
for j=1:3
T(i,j)=A(i).*B(j).*O(i).*D(j).*f(i,j)
end
end
for i =1:3
y(i)=sum(T(i,:))
end
for i =1:3
z(i)=sum(T(:,i))
end
for i =1:3
F(i)=(sum((y(i)-O(i))^2))+(sum((z(i)-D(i))^2))
end
H=sum(F)
I wonder how to minimize H, what function should be defined, or what is the method to do it?

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