Symplectic Elimination
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913962202759168 |
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| author | Mahalanobis, Ayan |
| author_facet | Mahalanobis, Ayan |
| contents | We develop the symplectic elimnation algorithm. This algorithm using simple row operations reduce a symplectic matrix to a diagonal matrix. This algorithm gives rise to a decomposition of an arbitrary matrix into a product of a symplectic matrix and a reduced matrix. This decomposition is similar to the SR decomposition studied for a long time, which is analogous to the QR decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20563 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic Elimination Mahalanobis, Ayan Group Theory Systems and Control Symplectic Geometry Spectral Theory 15B99, 15A21 We develop the symplectic elimnation algorithm. This algorithm using simple row operations reduce a symplectic matrix to a diagonal matrix. This algorithm gives rise to a decomposition of an arbitrary matrix into a product of a symplectic matrix and a reduced matrix. This decomposition is similar to the SR decomposition studied for a long time, which is analogous to the QR decomposition. |
| title | Symplectic Elimination |
| topic | Group Theory Systems and Control Symplectic Geometry Spectral Theory 15B99, 15A21 |
| url | https://arxiv.org/abs/2507.20563 |