Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912132167106560 |
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| author | Batra, Prashant |
| author_facet | Batra, Prashant |
| contents | Many upper bounds for the moduli of polynomial roots have been proposed but reportedly assessed on selected examples or restricted classes only. Regarding quality measured in terms of worst-case relative overestimation of the maximum root-modulus we establish a simple, nearly optimal result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16385 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Batra, Prashant Numerical Analysis 65H04, 15A18, 12D10 Many upper bounds for the moduli of polynomial roots have been proposed but reportedly assessed on selected examples or restricted classes only. Regarding quality measured in terms of worst-case relative overestimation of the maximum root-modulus we establish a simple, nearly optimal result. |
| title | Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation |
| topic | Numerical Analysis 65H04, 15A18, 12D10 |
| url | https://arxiv.org/abs/2411.16385 |