Events
Algebra/Linear Algebra Seminar |
Time: Sep 13, 2016 (04:00 PM) |
Location: Parker Hall 224 |
Details: Speaker: Wei Gao Title: Sign Patterns and Point-Hyperplane Configurations Abstract: A sign pattern (matrix) is a matrix whose entries are from the set \(\{+, -, 0\}\). The minimum rank of a sign pattern matrix is the minimum of the ranks of the real matrices whose entries have signs equal to the corresponding entries of the sign pattern. In this talk, we establish a direct connection between condensed sign patterns with minimum rank r and point-hyperplanes configurations in \(R^{r-1}\), and we use this connection to prove some interesting results. |