I've got some code to numerically solve for eigenvectors:
function[efun,V,D] = solveeig(n,xmax,i)
for j=1:i
%The first and second derivative matrices
dd = 1/(xmax/n)^2*(-2*diag(ones(n,1))+diag(ones(n-1,1),1)+...
diag(ones(n-1,1),-1));
d = 1/(xmax/n)*((-1*diag(ones(n,1)))+diag(ones(n-1,1),1));
%solve for the eigenvectors
[V,D] = eig(-dd-2*d);
%plot the eigenvectors (normalized) with the normalized calculated
%eigenfunctions
x = linspace(0,xmax,n);
subplot(i,1,j);
plot(x,V(:,j)/sum(V(:,j)),'*');
hold on
efun = exp(-x).*sin(j*pi*x/xmax);
plot(x,efun/(sum(efun)),'r');
shg
end
end
i is supposed to be the first i eigenvectors, n is the dimension of the matrices (the number of pieces we discretize x into), xmax is the upper limit of the range on which the fxn is defined.
I'm trying to run this from the command line (as: "solveeig # # #", where the number signs correspond to i, n, and xmax) but no matter what I seem to put in for i, n, and xmax, I get "For colon operator with char operands, first and last operands must be char."
What should I be writing on the command line to get this to run?