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| Date: | Mon, 12 Apr 2004 15:34:46 -0400 |
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Dear Colleagues,
We continue our Colloquium in the Math Department.
Charles Johnson, Department of Mathematics,
College of William and Mary,
Williamsburg, Virginia.
Tuesday, April 20, EMCS 422, 3:00 pm.
Abstract
A matrix is called totally positive (nonnegative) if ALL its minors
are positive (nonnegative), and a matrix with nonpositive off-diagonal entries
is an M-matrix if its inverse exists and is nonnegative (entry-wise). We
consider two questions: which positive matrices occur as sums of totally positive
matrices and of inverse M-matrices. In each case there is an interesting
surprise.
Lucas van der Merwe
Department of Mathematics
University of Tennessee at Chattanooga
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