## What’s the distribution of eigenvalues of a real and symmetric Toeplitz matrix? [closed]

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Diagonalizing a Certain Real and Symmetric Toeplitz Matrix

Can you please help me find the distribution of eigenvalues of a Toeplitz matrix $\mathbf{K}$ that is constructed as follows: $$\mathbf{K}=Toeplitz(1, \rho , \ldots , \rho^{N-1})$$ where $0 \leq \rho < 1$.

Thanks a lot in advance,

Farzad

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Are you looking for bounds on the eigenvalues? Asymptotic results that apply in the limit as $N \rightarrow \infty$? An exact formula for the eigenvalues? – Brian Borchers Aug 17 2011 at 16:32
@ Brian, if it is possible the both cases. – Farzad Aug 18 2011 at 7:10
this question seems to be an exact duplicate of: mathoverflow.net/questions/68099/… – S. Sra Aug 21 2011 at 23:46