| Title: | Isotropy groups of the action of orthogonal similarity on symmetric matrices |
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| Authors: | ID Starčič, Tadej (Author) |
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| Files: |  PDF - Presentation file, download (2,08 MB)
MD5: 33A639BB6FD2322DF7073021DA96F944
 URL - Source URL, visit https://www.tandfonline.com/doi/full/10.1080/03081087.2022.2044746
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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. |
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| Keywords: | isotropy groups, matrix equations, orthogonal matrices, symmetric matrices, Toeplitz matrices |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 842-866 |
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| Numbering: | Vol. 71, iss. 5 |
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| PID: | 20.500.12556/DiRROS-18634  |
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| UDC: | 512.643:517.55 |
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| ISSN on article: | 0308-1087 |
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| DOI: | 10.1080/03081087.2022.2044746 |
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| COBISS.SI-ID: | 106084099 |
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| Publication date in DiRROS: | 08.04.2024 |
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| Views: | 553 |
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| Downloads: | 245 |
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