Existence of reciprocal matrices with specified orders for the right and inverse left Perron eigenvectors
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916017576345600 |
|---|---|
| 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 |