| Title: | Isotropy groups of the action of orthogonal $^\ast$congruence on Hermitian matrices |
|---|
| Authors: | ID Starčič, Tadej (Author) |
|---|
| Files: |  PDF - Presentation file, download (651,15 KB)
MD5: F46605DC981C3760B267FBE1807FB9AB
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0024379524001678
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  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  |
|---|
| UDC: | 512.64 |
|---|
| ISSN on article: | 0024-3795 |
|---|
| DOI: | 10.1016/j.laa.2024.04.013 |
|---|
| COBISS.SI-ID: | 194458115 |
|---|
| Note: |
|
|---|
| Publication date in DiRROS: | 06.05.2024 |
|---|
| Views: | 89 |
|---|
| Downloads: | 46 |
|---|
| Metadata: |     |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
