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.

引用

页码：26 / 49

页数：24

共 20 条

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[2]

Bhatia R, 2007, PRINC SER APPL MATH, P1

[3]

Christensen R., 1996, PLANE ANSWERS COMPLE

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