Invariant subspace perturbations related to defective eigenvalues of $Δ$-Hermitian and Hamiltonian matrices
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915759346679808 |
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| author | Xu, Hongguo |
| author_facet | Xu, Hongguo |
| contents | Structured perturbation results for invariant subspaces of $Δ$-Hermitian and Hamiltonian matrices are provided. The invariant subspaces under consideration are associated with the eigenvalues perturbed from a single defective eigenvalue. The results show how the original eigenvectors and generalized eigenvectors are involved in composing such perturbed invariant subspaces and eigenvectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10643 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant subspace perturbations related to defective eigenvalues of $Δ$-Hermitian and Hamiltonian matrices Xu, Hongguo Numerical Analysis 15A18, 47A55, 65F15 Structured perturbation results for invariant subspaces of $Δ$-Hermitian and Hamiltonian matrices are provided. The invariant subspaces under consideration are associated with the eigenvalues perturbed from a single defective eigenvalue. The results show how the original eigenvectors and generalized eigenvectors are involved in composing such perturbed invariant subspaces and eigenvectors. |
| title | Invariant subspace perturbations related to defective eigenvalues of $Δ$-Hermitian and Hamiltonian matrices |
| topic | Numerical Analysis 15A18, 47A55, 65F15 |
| url | https://arxiv.org/abs/2509.10643 |