Quaternion Toeplitz matrices and their fundamental properties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908577292091392 |
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| author | Khan, Muhammad Ahsan Khan, Sohail |
| author_facet | Khan, Muhammad Ahsan Khan, Sohail |
| contents | Toeplitz matrices are characterized by their constant diagonals, have been extensively studied in various settings, including over real and complex numbers. However, their study over quaternions is quite sparse. In this paper, we investigate the structure and the algebraic properties of quaternion Toeplitz matrices. Most importantly, we established a complete characterization of all normal Toeplitz matrices having entries commutative quaternions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quaternion Toeplitz matrices and their fundamental properties Khan, Muhammad Ahsan Khan, Sohail Functional Analysis Toeplitz matrices are characterized by their constant diagonals, have been extensively studied in various settings, including over real and complex numbers. However, their study over quaternions is quite sparse. In this paper, we investigate the structure and the algebraic properties of quaternion Toeplitz matrices. Most importantly, we established a complete characterization of all normal Toeplitz matrices having entries commutative quaternions. |
| title | Quaternion Toeplitz matrices and their fundamental properties |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2510.04297 |