📄 kowosb.m
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function [fvec,J] = kowosb(n,m,x,opt)
% ***********************************************************
% Function [fvec, J]=kowosb(n,m,x,opt)
% Kowalik and Osborne function [15]
% Dimensions: n=4 m=11
% Function Definition:
% f(x)= y(i) - [x1(u^2 +u*x2) / (u^2 + u*x3 + x4)]
% Standard starting point: (0.25,0.39,0.415,0.39)
% Minima of f= 3.07505...10^-4 and
% f= 1.02734...10^-3 at (inf,-14.07...,-inf,-inf)
%
% Coded in Matlab October 1994 PLK
% **********************************************************
y = [.1957 .1947 .1735 .1600 .0844 .0627
.0456 .0342 .0323 .0235 .0246 0]' ;
u = [4.0000 2.0000 1.0000 0.5000 0.2500 0.1670
0.1250 0.1000 0.0833 0.0714 0.0625 0]' ;
for i = 1:m
c1 = u(i)^2 + u(i)*x(2);
c2 = (u(i)^2 + u(i)*x(3) +x(4));
if((opt==1)|(opt==3))
fvec(i) = y(i)-(x(1)*c1)/c2;
end;
if((opt==2)|(opt==3))
J(i,1) = -c1/c2;
J(i,2) = (-x(1)*u(i) ) / c2;
J(i,3) = x(1)*c1*(c2^(-2))*u(i);
J(i,4) = x(1)*c1*(c2^(-2));
end;
end;
fvec=fvec';
if((opt<1)|(opt>3))
disp('Error: Option value for KOWOSB.M is either <1 or >3');
end;
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