Simultaneous symplectic spectral decomposition of positive semidefinite matrices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912927157583872 |
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| author | Kamat, Rudra R. Mishra, Hemant K. |
| author_facet | Kamat, Rudra R. Mishra, Hemant K. |
| contents | We establish necessary and sufficient conditions on simultaneous symplectic spectral decomposition of a family of $2n \times 2n$ real positive semidefinite matrices with symplectic kernels. We also provide a precise algebraic condition on a $2n \times 2n$ real positive semidefinite matrix with symplectic kernel for orthosymplectic spectral diagonalization, which generalizes a known result for positive definite matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simultaneous symplectic spectral decomposition of positive semidefinite matrices Kamat, Rudra R. Mishra, Hemant K. Mathematical Physics We establish necessary and sufficient conditions on simultaneous symplectic spectral decomposition of a family of $2n \times 2n$ real positive semidefinite matrices with symplectic kernels. We also provide a precise algebraic condition on a $2n \times 2n$ real positive semidefinite matrix with symplectic kernel for orthosymplectic spectral diagonalization, which generalizes a known result for positive definite matrices. |
| title | Simultaneous symplectic spectral decomposition of positive semidefinite matrices |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2412.01492 |