View Proposal #203
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| ID | 203 |
|---|---|
| First Name | In-Jae |
| Last Name | Kim |
| Institution | Minnesota State University, Mankato |
| Speaker Category | faculty |
| Title of Talk | Sign patterns that allow a positive or nonnegative left inverse |
| Abstract | An m x n sign pattern S is an m x n matrix with entries in {+,-,0}. An m x n sign pattern S allows a positive (resp., nonnegative) left inverse provided that there exist an m x n matrix A with sign pattern S and an m x n matrix with only positive (resp., nonnegative) entries satisfying BA=I_{n}, where I_{n} is the n x n identity matrix. Using associated bipartite digraphs, we characterize m x n (m >= n >= 2) sign patterns that allow a positive left inverse. This generalizes the known result for the square case. Some results on sign patterns allowing a nonnegative left inverse are also presented. (This is joint work with D.D. Olesky, B.L. Shader and P. van den Driessche.) |
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| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | |
| Bringing a laptop? | |
| Overhead Needed? | |
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| Date Submitted | 4/3/2007 |
| Year | 2007 |