📄 rosex.m
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% Extended Rosenbrock function
% ----------------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% function [fvec,J]=rosex(n,m,x,option)
% Dimensions -> n=variable but even, m=n
% Problem no. 21
% Standard starting point -> x=(s(j)) where
% s(2*j-1)=-1.2,
% s(2*j)=1
% Minima -> f=0 at (1,.....,1)
%
% 11/21/94 by Madhu Lamba
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [fvec,J] = rosex(n,m,x,option)
J=zeros(m,n);
for i=1:m/2
if (option==1 | option==3)
fvec(2*i-1)=10*(x(2*i)-x(2*i-1)^2);
fvec(2*i)=1-x(2*i-1);
end;
if (option==2 | option==3)
J(2*i-1,2*i-1) = -20*x(2*i-1);
J(2*i-1,2*i) = 10;
J(2*i,2*i-1) = -1;
end;
end;
if (option==1 | option==3)
fvec=fvec';
end;
%
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