Isotropy groups of the action of orthogonal similarity on symmetric matrices

Starčič, Tadej (author)

We find an algorithmic procedure that enables the computation and description of the structure of the isotropy subgroups of the group of complex orthogonal matrices with respect to the action of similarity on complex symmetric matrices. A key step in our proof is to solve a certain rectangular block upper triangular Toeplitz matrix equation.

• Language: English
• Keywords: isotropy groups, matrix equations, orthogonal matrices, symmetric matrices, Toeplitz matrices
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: Str. 842–866
• Numbering: Vol. 71, no. 5
• PID: 20.500.12556/RUL-146034
• UDC: 512.643:517.55
• ISSN on article: 0308-1087
• DOI: 10.1080/03081087.2022.2044746
• COBISS.SI-ID: 106084099
• Publication date in RUL: 18.05.2023

Record is a part of a journal

• Title: Linear and multilinear algebra
• Shortened title: Linear multilinear algebra
• Publisher: Taylor & Francis
• ISSN: 0308-1087
• COBISS.SI-ID: 25872128

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: izotropne grupe, matrične enačbe, ortogonalne matrike, simetrične matrike, Toeplitzove matrike

Projects

• 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