Quasi-orthogonal extension of symmetric matrices
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929628922249216 |
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| author | Boussaïri, Abderrahim Chergui, Brahim Sarir, Zaineb Zouagui, Mohamed |
| author_facet | Boussaïri, Abderrahim Chergui, Brahim Sarir, Zaineb Zouagui, Mohamed |
| contents | An $n\times n$ real matrix $Q$ is quasi-orthogonal if $Q^{\top}Q=qI_{n}$ for some positive real number $q$. If $M$ is a principal sub-matrix of a quasi-orthogonal matrix $Q$, we say that $Q$ is a quasi-orthogonal extension of $M$. In a recent work, the authors have investigated this notion for the class of real skew-symmetric matrices. Using a different approach, this paper addresses the case of symmetric matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-orthogonal extension of symmetric matrices Boussaïri, Abderrahim Chergui, Brahim Sarir, Zaineb Zouagui, Mohamed Combinatorics 15A18, 15B10 An $n\times n$ real matrix $Q$ is quasi-orthogonal if $Q^{\top}Q=qI_{n}$ for some positive real number $q$. If $M$ is a principal sub-matrix of a quasi-orthogonal matrix $Q$, we say that $Q$ is a quasi-orthogonal extension of $M$. In a recent work, the authors have investigated this notion for the class of real skew-symmetric matrices. Using a different approach, this paper addresses the case of symmetric matrices. |
| title | Quasi-orthogonal extension of symmetric matrices |
| topic | Combinatorics 15A18, 15B10 |
| url | https://arxiv.org/abs/2412.10197 |