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arXiv · 2402.13083

Bi-monotone maps on the set of all variance-covariance matrices with respect to minus partial order

Gregor Dolinar·Dijana Ilišević·Bojan Kuzma·Janko Marovt
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Abstract

Let $H_{n}^{+}(\mathbb{R})$ be the cone of all positive semidefinite $n\times n$ real matrices. We describe the form of all surjective maps on $H_{n}^{+}(\mathbb{R}) $, $n\geq 3$, that preserve the minus partial order in both directions.

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Gregor Dolinar, Dijana Ilišević, Bojan Kuzma, Janko Marovt. 2024-02-20. Bi-monotone maps on the set of all variance-covariance matrices with respect to minus partial order. https://arxiv.org/abs/2402.13083

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