Totally positive matrices

Tom Lenagan (University of Edinburgh)

Wednesday 29th April, 2009 16:00-17:00 Mathematics Building, Room 204


A real matrix is totally positive if all of its minors are positive. More generally, a matrix is totally non-negative if all of its minors are non-negative. Totally positive/non-negative matrices arise in many areas; for example, oscillations in mechanical systems, stochastic processes and approximation theory, planar resistor networks, ... . This talk will be an elementary introduction to the theory of totally non-negative matrices and the associated study of the non-negative real grassmannian.

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