I need help to to make this work .I am using the quadprog function but i keep getting the problem is non convex.I would be glad if anyone could help.
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function [x,IC,SST,SSR,SSE]=Constrained_FLSR_1(h)
D=[-0.04844752 0.041968141 -0.044564664 -0.050000004 -0.324629009 -0.148966655;
-0.304020248 0.131284505 0.472041681 0.352249637 0.098999992 0.281067416;
-0.074829705 -0.049999997 -0.094350919 -0.059151836 0.055000007 -0.154999971;
0.28895241 0.390694469 0.416666657 0.408958316 0.497573376 0.360221535;
-0.098011374 0.012270158 -0.067317739 -0.098011397 0.334000021 -0.120833755;
-0.175849974 -0.160909101 -0.174713209 -0.200000003 0.022500008 -0.18519102;
-0.141403094 -0.004999995 -0.098300003 -0.156213611 -0.048067875 -0.136289001;
-0.210274339 -0.191784486 -0.109999985 -0.15615499 -0.070813216 -0.184634596];
% Large data set
Large_Temp=[1:8];
Largetest=[1:8];
Large=union(Large_Temp,Largetest)
h=0.2;
OUT=D(Large,6)
IN=[ones(length(Large),1) D(Large,1:5)]
[M,N]=size(IN)
H=[2*sum(IN(:,1).^2),2*sum(IN(:,1).*IN(:,2)),2*sum(IN(:,3).*IN(:,1)),2*sum(IN(:,4).*IN(:,1)),2*sum(IN(:,5).*IN(:,1)),2*sum(IN(:,6).*IN(:,1)),0,0,0,0,0,0;
2*sum(IN(:,1).*IN(:,2)),2*sum(IN(:,2).^2),2*sum(IN(:,3).*IN(:,2)),2*sum(IN(:,4).*IN(:,2)),2*sum(IN(:,5).*IN(:,2)),2*sum(IN(:,6).*IN(:,2)),0,0,0,0,0,0;
2*sum(IN(:,1).*IN(:,3)),2*sum(IN(:,2).*IN(:,3)),2*sum(IN(:,3).^2), 2*sum(IN(:,4).*IN(:,3)) ,2*sum(IN(:,5).*IN(:,3)) ,2*sum(IN(:,6).*IN(:,3)),0,0,0,0,0,0;
2*sum(IN(:,1).*IN(:,4)),2*sum(IN(:,2).*IN(:,4)),2*sum(IN(:,3).*IN(:,4)),2*sum(IN(:,4)).^2,2*sum(IN(:,5).*IN(:,4)),2*sum(IN(:,6).*IN(:,4)),0,0,0,0,0,0;
2*sum(IN(:,1).*IN(:,5)),2*sum(IN(:,2).*IN(:,5)),2*sum(IN(:,3).*IN(:,5)),2*sum(IN(:,4).*IN(:,5)),2*sum(IN(:,5).^2),2*sum(IN(:,6).*IN(:,5)),0,0,0,0,0,0;
2*sum(IN(:,1).*IN(:,6)),2*sum(IN(:,2).*IN(:,6)),2*sum(IN(:,3).*IN(:,6)),2*sum(IN(:,4).*IN(:,6)),2*sum(IN(:,5).*IN(:,6)),2*sum(IN(:,6).^2),0,0,0,0,0,0;
0,0,0,0,0,0,(1/3)*sum(IN(:,1).^2),(1/3)*sum(IN(:,1).*IN(:,2)),(1/3)*sum(IN(:,1).*IN(:,3)),(1/3)*sum(IN(:,1).*IN(:,4)),(1/3)*sum(IN(:,1).*IN(:,5)),(1/3)*sum(IN(:,1).*IN(:,6));
0,0,0,0,0,0,(1/3)*sum(IN(:,1).*IN(:,2)),(1/3)*sum(IN(:,2).^2),(1/3)*sum(IN(:,2).*IN(:,3)),(1/3)*sum(IN(:,2).*IN(:,4)),(1/3)*sum(IN(:,2).*IN(:,5)),(1/3)*sum(IN(:,2).*IN(:,6));
0,0,0,0,0,0,(1/3)*sum(IN(:,1).*IN(:,3)),(1/3)*sum(IN(:,2).*IN(:,3)),(1/3)*sum(IN(:,3).^2),(1/3)*sum(IN(:,3).*IN(:,4)),(1/3)*sum(IN(:,3).*IN(:,5)),(1/3)*sum(IN(:,3).*IN(:,6));
0,0,0,0,0,0,(1/3)*sum(IN(:,1).*IN(:,4)),(1/3)*sum(IN(:,2).*IN(:,4)),(1/3)*sum(IN(:,3).*IN(:,4)),(1/3)*sum(IN(:,4).^2),(1/3)*sum(IN(:,4).*IN(:,5)),(1/3)*sum(IN(:,4).*IN(:,6));
0,0,0,0,0,0,(1/3)*sum(IN(:,1).*IN(:,5)),(1/3)*sum(IN(:,2).*IN(:,5)),(1/3)*sum(IN(:,3).*IN(:,5)),(1/3)*sum(IN(:,4).*IN(:,5)),(1/3)*sum(IN(:,5).^2),(1/3)*sum(IN(:,5).*IN(:,6));
0,0,0,0,0,0,(1/3)*sum(IN(:,1).*IN(:,6)),(1/3)*sum(IN(:,2).*IN(:,6)),(1/3)*sum(IN(:,3).*IN(:,6)),(1/3)*sum(IN(:,4).*IN(:,6)),(1/3)*sum(IN(:,5).*IN(:,6)),(1/3)*sum(IN(:,5).^2);]
f=[-2*sum(OUT.*IN(:,1));-2*sum(OUT.*IN(:,2));-2*sum(OUT.*IN(:,3));-2*sum(OUT.*IN(:,4));-2*sum(OUT.*IN(:,5));-2*sum(OUT.*IN(:,5));0;0;0;0;0;0]
%A=[-IN -(1-h)*abs(IN);IN -(1-h)*abs(IN);zeros(N,2*N);zeros(N,N) -eye(N,N)]
A=[-IN -(1-h)*(IN);IN -(1-h)*(IN);zeros(N,N) -eye(N,N)]
%b=[-OUT;OUT;zeros(2*N,1)];
b=[-OUT;OUT;zeros(N,1)];
options = optimoptions('quadprog','Algorithm','interior-point-convex');
x=quadprog(H,f,A,b,[],[],[],[],[],options)
antec=x(1:6)
postc=x(7:12)
err=abs(((IN*(antec)-OUT)./OUT))
me=mean(err)
sum1=0;
for i=1:8
sum1=sum1+(err(i,1)-me)^2;
end
voe=sum1/7
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