On the Frobenius norm of the inverse of a non-negative matrix
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917770395910144 |
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| author | Frankel, Elsa Urschel, John |
| author_facet | Frankel, Elsa Urschel, John |
| contents | We prove a new lower bound for the Frobenius norm of the inverse of an non-negative matrix. This bound is only a modest improvement over previous results, but is sufficient for fully resolving a conjecture of Harwitz and Sloane, commonly referred to as the S-matrix conjecture, for all dimensions larger than a small constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04354 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Frobenius norm of the inverse of a non-negative matrix Frankel, Elsa Urschel, John Combinatorics 15A60 We prove a new lower bound for the Frobenius norm of the inverse of an non-negative matrix. This bound is only a modest improvement over previous results, but is sufficient for fully resolving a conjecture of Harwitz and Sloane, commonly referred to as the S-matrix conjecture, for all dimensions larger than a small constant. |
| title | On the Frobenius norm of the inverse of a non-negative matrix |
| topic | Combinatorics 15A60 |
| url | https://arxiv.org/abs/2409.04354 |