Patterns that require distinct singular values
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915621410701312 |
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| author | Cheung, Caleb Shader, Bryan |
| author_facet | Cheung, Caleb Shader, Bryan |
| contents | Patterns of m by n matrices of term-rank m for which every real matrix with the pattern has no multiple singular value are characterized. This generalizes Fiedler's characterization of the paths being the only graphs for which every real symmetric matrix with the given graph has no repeated eigenvalue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12641 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Patterns that require distinct singular values Cheung, Caleb Shader, Bryan Combinatorics 05C50, 15A18, 15A29, 15B57, 58C1 Patterns of m by n matrices of term-rank m for which every real matrix with the pattern has no multiple singular value are characterized. This generalizes Fiedler's characterization of the paths being the only graphs for which every real symmetric matrix with the given graph has no repeated eigenvalue. |
| title | Patterns that require distinct singular values |
| topic | Combinatorics 05C50, 15A18, 15A29, 15B57, 58C1 |
| url | https://arxiv.org/abs/2511.12641 |