View Proposal #362

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ID362
First NameCraig
Last NameErickson
InstitutionIowa State University
Speaker Categorygraduate student
Title of TalkMatrix sign patterns that require eventual exponential nonnegativity
AbstractThe matrix exponential function can be used to solve systems of linear differential equations. For certain applications, it is of interest whether or not the matrix exponential function of a given matrix becomes and remains entry-wise nonnegative after some time. Such matrices are called eventually exponentially nonnegative. Often the exact numerical entries in the matrix are not known (for example due to uncertainty in experimental measurements), but the qualitative information is usually known. In this talk we discuss what structure on the signs of the entries of a matrix guarantee the matrix is eventually exponentially nonnegative.
Subject area(s)Combinatorial Matrix Theory
Suitable for undergraduates?Y
Day PreferenceEither
Computer Needed?N
Bringing a laptop?Y
Overhead Needed?N
Software requests
Special Needs
Date Submitted09/26/2013
Year2013