On the Boundary of Totally Positivite Upper Triangular Matrices

نویسنده

  • B. Z. Shapiro
چکیده

Abstract. Let B+ ⊂ GLn(R) denote the subgroup of upper triangular n × nmatrices with positive entries on the main diagonal. A matrix M ∈ B+ is called totally positive if the determinants of all its minors not containing a row or column lying completely under the main diagonal are positive. We give a simple determinantal equation for the boundary of all positive upper triangular matrices in B+.

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تاریخ انتشار 2006