New lower bounds for the maximal determinant problem
| dc.creator | Orrick, William P. | |
| dc.creator | Solomon, Bruce | |
| dc.creator | Dowdeswell, Roland | |
| dc.creator | Smith, Warren D. | |
| dc.date | 2003-04-25 | |
| dc.date.accessioned | 2026-07-07T04:57:24Z | |
| dc.date.available | 2026-07-07T04:57:24Z | |
| dc.description | We report new world records for the maximal determinant of an n-by-n matrix with entries +/-1. Using various techniques, we beat existing records for n=22, 23, 27, 29, 31, 33, 34, 35, 39, 45, 47, 53, 63, 69, 73, 77, 79, 93, and 95, and we present the record-breaking matrices here. We conjecture that our n=22 value attains the globally maximizing determinant in its dimension. We also tabulate new records for n=67, 75, 83, 87, 91 and 99, dimensions for which no previous claims have been made. The relevant matrices in all these dimensions, along with other pertinent information, are posted at http://www.indiana.edu/~maxdet \. | |
| dc.description | 20 pages; 15 are "figure-like" displays of matrices | |
| dc.identifier | https://arxiv.org/abs/math/0304410 | |
| dc.identifier | http://arxiv.org/abs/math/0304410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67252 | |
| dc.subject | Combinatorics | |
| dc.subject | 05B30; 05B20 | |
| dc.title | New lower bounds for the maximal determinant problem | |
| dc.type | text |