The question here is somewhat related to the comments in Computing eigenvectors and eigenvalues
I have a matrix M, say 400 by 400, and all elements depend explicitly on one parameter t in a quadratic form. That's to say, for one given t, I can calculate each element and write down the full matrix explicitly.
I would like to try different t, say a list of t(s), see how the lowest eigenvalues change with respect to t and plot it. I tried something like assuming
and with
but it did not work well. Anyone has an idea how to do it efficiently? Thanks.