📄 trig.m
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% Trigonometric function
% ----------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% function [fvec,J]=trig(n,m,x,option)
% Problem no. 26
% Dimensions -> n=variable, m=n
% Standard starting point -> x=(1/n,..,1/n)
% Minima -> f=0
%
% 11/21/94 by Madhu Lamba
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [fvec,J] = trig(n,m,x,option)
zero=0.d0;
one=1.d0;
if option==1
sum1 = zero;
for i=1:n
xi = x(i);
cxi = cos(xi);
sum1 = sum1 + cxi;
fvec(i) = n + (i)*(one - cxi) - sin(xi);
end
fvec=fvec';
fvec=fvec-sum1;
elseif option==2
for j=1:n
xj = x(j);
sxj = sin(xj);
for i=1:n
J( i, j) = sxj;
end
J(j, j) = (j+1)*sxj - cos(xj);
end
elseif option==3
sum1 = zero;
for i=1:n
xi = x(i);
cxi = cos(xi);
sum1 = sum1 + cxi;
fvec(i) = n + (i)*(one - cxi) - sin(xi);
end
fvec=fvec';
fvec=fvec-sum1;
for j=1:n
xj = x(j);
sxj = sin(xj);
for i=1:n
J( i, j) = sxj;
end
J(j, j) = (j+1)*sxj - cos(xj);
end
else error('Error: trig.m : invalid option')
end
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