📄 vardim.m
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% Variably Dimensioned function
% -----------------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% function [fvec,J]=vardim(n,m,x,option)
% Dimensions -> n=variable, m=n+2
% Problem no. 25
% Standard starting point -> x=(s(j)) where
% s(j)=1-(j/n)
% Minima -> f=0 at (1,.....1)
%
% 11/21/94 by Madhu Lamba
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [fvec,J] = vardim(n,m,x,option)
J=zeros(m,n);
for i=1:n
if (option==1 | option==3)
fvec(i)=x(i)-1;
end;
if (option==2 | option==3)
J(i,i)=1;
end;
end
var_1=0;
for j=1:n
var_1=var_1+j*(x(j)-1);
end;
if (option==1 | option==3)
fvec(n+1)=var_1;
fvec(n+2)=(var_1)^2;
end;
if (option==2 | option==3)
for j=1:n
J(n+1,j) = j;
J(n+2,j) = (2*var_1*j);
end;
end;
if (option==1 | option==3)
fvec=fvec';
end;
%
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