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Timeline for Eigenvalues of a specific matrix

Current License: CC BY-SA 4.0

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Mar 5, 2023 at 16:28 comment added Young Q I understand. If the diagonal terms (i.e., I_0) are not identical, is the method is ineffective? Here, I_0, I_1, and I_2 can be regarded as the numbers.
Mar 3, 2023 at 14:19 comment added Narutaka OZAWA I revised my answer to include eigenvectors. The answer to your question 1 is negative. There is no general methods of calculating eigenvalues of a general (hermitian) Toeplitz matrices (and there is a lot of research on this topics).
Mar 3, 2023 at 14:16 history edited Narutaka OZAWA CC BY-SA 4.0
The argument is simplified and the description of eigenvectors is given.
Mar 3, 2023 at 9:03 comment added Young Q I have two questions. 1. Can we use the method to solve the eigenvalues of any Toeplitz matrices? 2. Can we solve its eigenstates?
Mar 3, 2023 at 6:26 vote accept Young Q
Mar 3, 2023 at 5:58 history edited Narutaka OZAWA CC BY-SA 4.0
edited body
Mar 3, 2023 at 0:26 history edited Narutaka OZAWA CC BY-SA 4.0
added 34 characters in body
Mar 2, 2023 at 23:07 history answered Narutaka OZAWA CC BY-SA 4.0