Fasi, Massimiliano and Negri Porzio, Gian Maria (2019) Determinants of Normalized Bohemian Upper Hessemberg Matrices. [MIMS Preprint]
![[thumbnail of fane20.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/text.png) |
Text
fane20.pdf Download (267kB) |
Abstract
A matrix is Bohemian if its elements are taken from a finite set of integers. We enumerate all possible determinants of Bohemian upper Hessenberg matrices with subdiagonal fixed to one, and consider the special case of families of matrices with only zeros on the main diagonal, whose determinants proved to be related to a generalization of Fibonacci numbers. Several conjectures recently stated by Corless and Thornton follow from our results.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Bohemian matrix, upper Hessenberg matrix, determinant, Fibonacci number. |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory |
| Depositing User: | Mr Gian Maria Negri Porzio |
| Date Deposited: | 06 Jun 2020 13:42 |
| Last Modified: | 06 Jun 2020 13:42 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2768 |
Actions (login required)
 |
View Item |