Approximations of Extremal Eigenspace and Orthonormal Polar Factor
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917189633703936 |
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| author | Li, Ren-Cang |
| author_facet | Li, Ren-Cang |
| contents | This paper is concerned with two extremal problems from matrix analysis. One is about approximating the top eigenspaces of a Hermitian matrix and the other one about approximating the orthonormal polar factor of a general matrix. Tight error bounds on the quality of the approximations are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04479 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximations of Extremal Eigenspace and Orthonormal Polar Factor Li, Ren-Cang Numerical Analysis 15A18, 15A42, 5B57, 65F15 This paper is concerned with two extremal problems from matrix analysis. One is about approximating the top eigenspaces of a Hermitian matrix and the other one about approximating the orthonormal polar factor of a general matrix. Tight error bounds on the quality of the approximations are obtained. |
| title | Approximations of Extremal Eigenspace and Orthonormal Polar Factor |
| topic | Numerical Analysis 15A18, 15A42, 5B57, 65F15 |
| url | https://arxiv.org/abs/2601.04479 |