An Optimal Least-Square Solver For Scaled Partial-Isometric Linear Systems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915368763654144 |
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| author | Kar, Suvendu Venkatapathi, Murugesan |
| author_facet | Kar, Suvendu Venkatapathi, Murugesan |
| contents | We present an $O(mn)$ direct least-squares solver for $m \times n$ linear systems with a scaled partial isometry. The proposed algorithm is also useful when the system is block diagonal and each block is a scaled partial isometry with distinct scaling factors. We also include numerical experiments as a demonstration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01434 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Optimal Least-Square Solver For Scaled Partial-Isometric Linear Systems Kar, Suvendu Venkatapathi, Murugesan Numerical Analysis We present an $O(mn)$ direct least-squares solver for $m \times n$ linear systems with a scaled partial isometry. The proposed algorithm is also useful when the system is block diagonal and each block is a scaled partial isometry with distinct scaling factors. We also include numerical experiments as a demonstration. |
| title | An Optimal Least-Square Solver For Scaled Partial-Isometric Linear Systems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2507.01434 |