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Aug 31, 2012 at 0:07 comment added Rantu True. Thank you for your comment. I assumed constant norm or unchanged diagonal condition need to be apply. Thanks a lot.
Aug 30, 2012 at 23:59 comment added coma I think you need further conditions to make this interesting. You can take $T1 = T + \gamma I$, $T2 = - \gamma I$, where $\gamma$ is a large constant. This way, $T1$ will have only positive eigenvalues, and $T2$ will have negative ones (since you're shifting them by $\gamma$).
Aug 30, 2012 at 23:41 comment added Rantu The Toeplitz matrix considered is Hermitian matrix. Thank you for looking at my question.
Aug 30, 2012 at 23:33 comment added Yemon Choi Are you assuming your Toeplitz matrix is self-adjoint?
Aug 30, 2012 at 23:24 history edited Rantu
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Aug 30, 2012 at 23:13 history asked Rantu CC BY-SA 3.0