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Generalized Diagonals in Positive Semi-Definite Matrices

Published 10 Sep 2024 in math.CO | (2409.06907v2)

Abstract: We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This provides an analogue of results of Drake, Gerrish, and Skandera on inequalities among generalized diagonals in totally nonnegative matrices.

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Authors (2)

  1. Robert Angarone 
  2. Daniel Soskin 

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