View Proposal #200
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| ID | 200 |
|---|---|
| First Name | Jonathan |
| Last Name | Botts |
| Institution | Drake University |
| Speaker Category | undergraduate student |
| Title of Talk | On the Weakly Sign Symmetric Matrix Completion Problems |
| Abstract | An n x n matrix is called a P-matrix if all its principal minors are positive. An n x n matrix, A = [a_{ij}], is sign symmetric, if for each i,j \in \{1, 2, \dots, n }, either a_{ij} = 0 = a_{ji}$ or a_{ij}a_{ji}>0; the matrix is weakly sign symmetric if a_{ij}a_{ji}\ge 0. In this talk we show that an n x n partial (weakly) sign symmetric P-matrix specifying an asymmetric acyclic digraph can be completed to a (weakly) sign symmetric P-matrix. We also show that a partial n x n (weakly) sign symmetric P-matrix specifying an asymmetric digraph with no 3-cycles, can be completed to a (weakly) sign symmetric P-matrix for n >= 5. |
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| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | |
| Bringing a laptop? | |
| Overhead Needed? | |
| Software requests | |
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| Date Submitted | 4/3/2007 |
| Year | 2007 |