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Jun 25, 2012 at 18:01 comment added shabbychef I believe we have $\psi_{\kappa} = \sum_i \frac{\lambda_i}{1 + \kappa\lambda_i}$, where $\lambda_i$ are the eigenvalues of $HE^{-1}$. But that doesn't seem to get me anywhere. I guess I don't know enough about the distribution of sums of the eigenvalues ...
Jun 25, 2012 at 17:50 history answered StasK CC BY-SA 3.0