On reality of eigenvalues of banded block Toeplitz matrices
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910157067255808 |
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| author | Giandinoto, Dario |
| author_facet | Giandinoto, Dario |
| contents | We formulate and partially prove a general conjecture providing necessary and sufficient conditions for the reality of the asymptotic spectrum of an arbitrary real banded block Toeplitz matrix. Additionally we present numerical experiments supporting it. This conjecture is a direct generalization of the already existing one in the case of banded Toeplitz matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16266 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On reality of eigenvalues of banded block Toeplitz matrices Giandinoto, Dario Spectral Theory Classical Analysis and ODEs 15B05 (Primary), 47B35, 47B28 (Secondary) We formulate and partially prove a general conjecture providing necessary and sufficient conditions for the reality of the asymptotic spectrum of an arbitrary real banded block Toeplitz matrix. Additionally we present numerical experiments supporting it. This conjecture is a direct generalization of the already existing one in the case of banded Toeplitz matrices. |
| title | On reality of eigenvalues of banded block Toeplitz matrices |
| topic | Spectral Theory Classical Analysis and ODEs 15B05 (Primary), 47B35, 47B28 (Secondary) |
| url | https://arxiv.org/abs/2411.16266 |