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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.13121 |
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| _version_ | 1866929221195005952 |
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| author | Gigola, S. Lebtahi, L. Thome, N. |
| author_facet | Gigola, S. Lebtahi, L. Thome, N. |
| contents | A square complex matrix $A$ is called (skew) $J$-Hamiltonian if $AJ$ is (skew) hermitian where $J$ is a real normal matrix such that $J^2=-I$, where $I$ is the identity matrix. In this paper, we solve the Procrustes problem to find normal (skew) $J$-Hamiltonian solutions for the inverse eigenvalue problem. In addition, a similar problem is investigated for normal $J$-symplectic matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13121 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Procrustes problem for the inverse eigenvalue problem of normal (skew) $J$-Hamiltonian matrices and normal $J$-symplectic matrices Gigola, S. Lebtahi, L. Thome, N. Optimization and Control A square complex matrix $A$ is called (skew) $J$-Hamiltonian if $AJ$ is (skew) hermitian where $J$ is a real normal matrix such that $J^2=-I$, where $I$ is the identity matrix. In this paper, we solve the Procrustes problem to find normal (skew) $J$-Hamiltonian solutions for the inverse eigenvalue problem. In addition, a similar problem is investigated for normal $J$-symplectic matrices. |
| title | Procrustes problem for the inverse eigenvalue problem of normal (skew) $J$-Hamiltonian matrices and normal $J$-symplectic matrices |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2401.13121 |