Tadej Starčič (Author)

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;isotropy groups;matrix equations;complex orthogonal matrices;Hermitian matrices;Toeplitz matrices;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL PEF - Faculty of Education
UDC: 512.64
COBISS: 194458115 Link will open in a new window
ISSN: 0024-3795
Views: 44
Downloads: 25
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary title: Izotropne grupe delovanja ortogonalne *kongruentnosti na hermitskih matrikah
Secondary 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.
Secondary keywords: izotropne grupe;matrične enačbe;kompleksne ortogonalne matrike;hermitske matrike;Toeplitzove matrike;
Type (COBISS): Article
Pages: str. 101-135
Issue: ǂVol. ǂ694
Chronology: Aug. 2024
DOI: 10.1016/j.laa.2024.04.013
ID: 23715889
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