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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2605.16267 |
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| _version_ | 1866916017576345600 |
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| author | Furtado, Susana Johnson, Charles |
| author_facet | Furtado, Susana Johnson, Charles |
| contents | Here we give a procedure to construct a reciprocal matrix for which the right and entrywise inverse left Perron eigenvectors have any pair of given orders. An explicit example when the matrix is of size 4 is presented. In particular, it gives an afirmative answer to the question posed in a recent manuscript by Bozóki and Csató (2026) about the existence of a reciprocal matrix of size 4 such that the right and entrywise inverse left Perron eigenvectors have reverse orders. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16267 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of reciprocal matrices with specified orders for the right and inverse left Perron eigenvectors Furtado, Susana Johnson, Charles Combinatorics Optimization and Control Here we give a procedure to construct a reciprocal matrix for which the right and entrywise inverse left Perron eigenvectors have any pair of given orders. An explicit example when the matrix is of size 4 is presented. In particular, it gives an afirmative answer to the question posed in a recent manuscript by Bozóki and Csató (2026) about the existence of a reciprocal matrix of size 4 such that the right and entrywise inverse left Perron eigenvectors have reverse orders. |
| title | Existence of reciprocal matrices with specified orders for the right and inverse left Perron eigenvectors |
| topic | Combinatorics Optimization and Control |
| url | https://arxiv.org/abs/2605.16267 |