| Title: | Isotropy groups of the action of orthogonal $^\ast$congruence on Hermitian matrices |
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| Authors: | ID Starčič, Tadej (Author) |
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| Files: |  PDF - Presentation file, download (651,15 KB)
MD5: F46605DC981C3760B267FBE1807FB9AB
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0024379524001678
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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 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. |
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| Keywords: | isotropy groups, matrix equations, complex orthogonal matrices, Hermitian 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: | 01.08.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 101-135 |
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| Numbering: | Vol. 694 |
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| PID: | 20.500.12556/DiRROS-18875  |
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| UDC: | 512.64 |
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| ISSN on article: | 0024-3795 |
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| DOI: | 10.1016/j.laa.2024.04.013 |
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| COBISS.SI-ID: | 194458115 |
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| Note: |
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| Publication date in DiRROS: | 06.05.2024 |
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| Views: | 550 |
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| Downloads: | 326 |
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| Metadata: |    |
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