Generalized Diagonals in Positive Semi-Definite Matrices
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 non...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.2409.06907 |