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Title:
Bi-monotone maps on the set of all variance-covariance matrices with respect to minus partial order
Authors:
ID
Dolinar, Gregor
(
Author
)
ID
Ilišević, Dijana
(
Author
)
ID
Kuzma, Bojan
(
Author
)
ID
Marovt, Janko
(
Author
)
Files:
https://www.sciencedirect.com/science/article/pii/S0024379524004105?via%3Dihub
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
EPF - Faculty of Business and Economics
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 ▫$H^+_n({\mathbb R})$▫, ▫$n \ge 3$▫, that preserve the minus partial order in both directions.
Keywords:
integer partition
,
young diagram
,
irreducible character
,
immanant alternate matrix
Publication version:
Version of Record
Publication date:
15.01.2025
Year of publishing:
2025
Number of pages:
str. 26-49
Numbering:
Vol. 705
PID:
20.500.12556/DKUM-93600
UDC:
517.9
ISSN on article:
0024-3795
COBISS.SI-ID:
218627331
DOI:
10.1016/j.laa.2024.10.025
Publication date in DKUM:
24.07.2025
Views:
101
Downloads:
10
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Linear algebra and its applications
Shortened title:
Linear algebra appl.
Publisher:
North Holland
ISSN:
0024-3795
COBISS.SI-ID:
1119247
Document is financed by a project
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0285-2022
Name:
Algebra, diskretna matematika, verjetnostni račun in teorija iger
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0288-2022
Name:
Algebra in njena uporaba
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0210-2021
Name:
Uporaba grafov v problemih ohranjevalcev
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0296-2023
Name:
Gladki izogeometrični prostori zlepkov nad večdelnimi domenami
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-50000-2023
Name:
Hamiltonski cikli z rotacijsko simetrijo v povezanih točkovno tranzitivnih grafih
Funder:
MZOS - Ministry of Science, Education and Sports of the Republic of Croatia
Funding programme:
Ministry of Science, Education and Sports of the Republic of Croatia (MSES)
Project number:
HR-SLO 2-2020-2021
Name:
Generalized inverses with emphasis on searching for applications in statistics
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
BI-HR/20-21-036
Name:
Generalized inverses with emphasis on searching for applications in statistics
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