Fast and accurate approximations to fractional powers of operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866911798900293632 |
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| author | Aceto, Lidia Novati, Paolo |
| author_facet | Aceto, Lidia Novati, Paolo |
| contents | In this paper we consider some rational approximations to the fractional powers of self-adjoint positive operators, arising from the Gauss-Laguerre rules. We derive practical error estimates that can be used to select a priori the number of Laguerre points necessary to achieve a given accuracy. We also present some numerical experiments to show the effectiveness of our approaches and the reliability of the estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_09793 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Fast and accurate approximations to fractional powers of operators Aceto, Lidia Novati, Paolo Numerical Analysis In this paper we consider some rational approximations to the fractional powers of self-adjoint positive operators, arising from the Gauss-Laguerre rules. We derive practical error estimates that can be used to select a priori the number of Laguerre points necessary to achieve a given accuracy. We also present some numerical experiments to show the effectiveness of our approaches and the reliability of the estimates. |
| title | Fast and accurate approximations to fractional powers of operators |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2004.09793 |