Prof Steve Kirkland (Hamilton Institute, NUIM)

will speak on

Totally Nonnegative (0,1) Matrices

Time: 4:00PM
Date: Mon 12th October 2009
Location: Mathematical Sciences Seminar Room [map]

Abstract: Motivated by a result of McKay et al, we investigate the class of square (0,1) matrices
which have all of their eigenvalues equal to nonnegative real numbers. We pay particular attention to the (0,1) totally nonnegative matrices -- i.e. those (0,1) matrices with the property that every square submatrix has nonnegative determinant. Over the class of irreducible (0,1) totally nonnegative matrices of order n, we determine those matrices having minimum spectral radius, and discuss the maximum number of zeros for such matrices. Joint work with Richard Brualdi.

(This talk is part of the Algebra and Number Theory series.)

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