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Title:Isotropy groups of the action of orthogonal $^\ast$congruence on Hermitian matrices
Authors:ID Starčič, Tadej (Author)
Files:.pdf PDF - Presentation file, download (651,15 KB)
MD5: F46605DC981C3760B267FBE1807FB9AB
 
URL URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0024379524001678
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of $^\ast$congruence on Hermitian matrices. A key ingredient in our proof is an algorithm giving solutions of a certain rectangular block (complex-alternating) upper triangular Toeplitz matrix equation.
Keywords:isotropy groups, matrix equations, complex orthogonal matrices, Hermitian matrices, Toeplitz matrices
Publication status:Published
Publication version:Version of Record
Publication date:01.08.2024
Year of publishing:2024
Number of pages:str. 101-135
Numbering:Vol. 694
PID:20.500.12556/DiRROS-18875 New window
UDC:512.64
ISSN on article:0024-3795
DOI:10.1016/j.laa.2024.04.013 New window
COBISS.SI-ID:194458115 New window
Note:
Publication date in DiRROS:06.05.2024
Views:545
Downloads:325
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Record is a part of a journal

Title:Linear algebra and its applications
Shortened title:Linear algebra appl.
Publisher:Elsevier
ISSN:0024-3795
COBISS.SI-ID:1119247 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P1-0291
Name:Analiza in geometrija

Funder:ARRS - Slovenian Research Agency
Project number:J1-3005
Name:Kompleksna in geometrijska analiza

Licences

License:CC BY-NC 4.0, Creative Commons Attribution-NonCommercial 4.0 International
Link:http://creativecommons.org/licenses/by-nc/4.0/
Description:A creative commons license that bans commercial use, but the users don’t have to license their derivative works on the same terms.

Secondary language

Language:Slovenian
Abstract:V članku predstavimo postopek, ki nam omogoči izračun in opis izotropnih podgrup grupe kompleksnih ortogonalnih matrik glede na delovanje $^\ast$kongruentnosti na hermitskih matrikah. Ključna sestavina v dokazu je algoritem, ki nam podaja rešitev določene pravokotne bločne (kompleksno-alternirajoče) zgornje trikotne Toeplitzove matrične enačbe.
Keywords:izotropne grupe, matrične enačbe, kompleksne ortogonalne matrike, hermitske matrike, Toeplitzove matrike


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