Patterns of commutativity and Bilinear Systems of Equations
 
 
Description:  Given a pair of n-by-n zero/nonzero patterns for two matrices, how can we tell when they admit a commuting pair. A number of interesting questions are of this form, and thoughts about it lead to many interesting questions. Like other qualitative matrix theoretic questions, this one has to do, in the end, with the solvability of certain systems of bilinear equations. We illustrate the connection and give some recent results about solution theory for bilinear systems.
Area(s):
Date:  2009-01-20
Start Time:   16:00
Speaker:  Charles R. Johnson (College of William and Mary, USA)
Place:  5.5
Research Groups: -Algebra and Combinatorics
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