Determinants of Sums of Normal Matrices
| Metadata Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Oeding, Luke | |
| dc.contributor.author | Speck, Matthew | |
| dc.date.accessioned | 2024-05-06T16:08:19Z | |
| dc.date.available | 2024-05-06T16:08:19Z | |
| dc.date.issued | 2024-05-06 | |
| dc.identifier.uri | https://etd.auburn.edu//handle/10415/9283 | |
| dc.description.abstract | Recent efforts in matrix theory have been concerned with describing invariants of matrices with "nice" properties. In this dissertation, we address a conjecture on the determinant of the sum of a pair of normal matrices. Reducing this conjecture to the problem of providing non-negative solutions for a system of linear equations without full rank, we use tools from representation theory and combinatorics to describe the modifications required to provide such solutions, and we suggest a statistical approach to the problem more broadly. | en_US |
| dc.rights | EMBARGO_GLOBAL | en_US |
| dc.subject | Mathematics and Statistics | en_US |
| dc.title | Determinants of Sums of Normal Matrices | en_US |
| dc.type | PhD Dissertation | en_US |
| dc.embargo.length | MONTHS_WITHHELD:12 | en_US |
| dc.embargo.status | EMBARGOED | en_US |
| dc.embargo.enddate | 2025-05-06 | en_US |