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arXiv · 2409.06907

Generalized Diagonals in Positive Semi-Definite Matrices

Robert Angarone·Daniel Soskin
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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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Robert Angarone, Daniel Soskin. 2024-09-16. Generalized Diagonals in Positive Semi-Definite Matrices. https://arxiv.org/abs/2409.06907

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