Gottfried Wrote:I meant this statement in the context of sets of eigenvalues of truncated matrices, and series of such sets, when the size of matrices increases.Yes I understood it in that way too.
Quote: What I observed was just that: if I ordered the empirical eigenvalues, then parts of them could be identified which stabilized to certain values, while others were wildly varying.You have to demonstrate it. I *dont* think that there are such stable values except perhaps 1.
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I'll look at it later this evening.
Quote:Maybe, that were not the logarithms - have it not in mind currently.They can not, because that are logarithms of fixed points and outside this range there are no fixed points.
Quote:Perhaps you try this with mathematica/maple since I heard, that they are much faster than pari/gp, with which it was nearly impossible/extremely time-expensive to get beyond the size=24x24
As you see from the graphs in this thread I (maple) also only went to size 30. And that only with help of some university machines (took perhaps 10min there), as my home computer wouldnt make it above 25 in reasonable time. But its not only that the diagonalizaton takes so long I also had to adjust the precision in dependence of the matrix size, which again took rounds of computation.