On generators of bounded ratios of minors for totally positive matrices
| dc.creator | Boocher, Adam | |
| dc.creator | Froehle, Bradley | |
| dc.date | 2008-04-21 | |
| dc.date.accessioned | 2026-07-07T09:33:43Z | |
| dc.date.available | 2026-07-07T09:33:43Z | |
| dc.description | We provide a method for factoring all bounded ratios of the form $$\det A(I_1|I_1')\det A(I_2|I_2')/\det A(J_1|J_1')\det A(J_2|J_2')$$ where $A$ is a totally positive matrix, into a product of more elementary ratios each of which is bounded by 1, thus giving a new proof of Skandera's result. The approach we use generalizes the one employed by Fallat et al. in their work on principal minors. We also obtain a new necessary condition for a ratio to be bounded for the case of non-principal minors. | |
| dc.description | 27 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0804.3226 | |
| dc.identifier | http://arxiv.org/abs/0804.3226 | |
| dc.identifier | Linear Algebra and Its Applications (2008) Vol 428/7 pp 1664-1684 | |
| dc.identifier | doi:10.1016/j.laa.2007.10.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159235 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 15A45; 15A48 | |
| dc.title | On generators of bounded ratios of minors for totally positive matrices | |
| dc.type | text |