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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Hauptverfasser: Angarone, Robert, Soskin, Daniel
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Sprache:eng
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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.
DOI:10.48550/arxiv.2409.06907