Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912585435054080 |
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| author | Chen, Xiao Shan Xu, Hongguo |
| author_facet | Chen, Xiao Shan Xu, Hongguo |
| contents | Combined perturbation bounds are presented for eigenvalues and eigenspaces of Hermitian matrices or singular values and singular subspaces of general matrices. The bounds are derived based on the smooth decompositions and elementary calculus techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10688 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices Chen, Xiao Shan Xu, Hongguo Numerical Analysis 65F15, 65F99 Combined perturbation bounds are presented for eigenvalues and eigenspaces of Hermitian matrices or singular values and singular subspaces of general matrices. The bounds are derived based on the smooth decompositions and elementary calculus techniques. |
| title | Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices |
| topic | Numerical Analysis 65F15, 65F99 |
| url | https://arxiv.org/abs/2509.10688 |