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

被引：0
|
作者：
Dolinar, Gregor [1 ,2 ]
Ilisevic, Dijana [3 ]
Kuzma, Bojan [2 ,4 ]
Marovt, Janko [2 ,5 ]
机构：
[1] Univ Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia
[2] IMFM, Jadranska 19, SI-1000 Ljubljana, Slovenia
[3] Univ Zagreb, Dept Math, Fac Sci, Bijenicka 30, Zagreb 10000, Croatia
[4] Univ Primorska, Glagoljaska 8, SI-6000 Koper, Slovenia
[5] Univ Maribor, Fac Econ & Business, Razlagova 14, SI-2000 Maribor, Slovenia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2025年 / 705卷
关键词：
Monotone map; Minus partial order; Variance-covariance matrix; Linear model; AUTOMORPHISMS; ISOMORPHISMS;
D O I：
10.1016/j.laa.2024.10.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let H-n(+)( R) be the cone of all positive semidefinite n x n real matrices. We describe the form of all surjective maps on H-n(+) (R), n >= 3, that preserve the minus partial order in both directions. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码：26 / 49
页数：24
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