Rational approximations to fractional powers of self-adjoint positive operators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866929278339252224 |
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| author | Aceto, Lidia Novati, Paolo |
| author_facet | Aceto, Lidia Novati, Paolo |
| contents | We investigate the rational approximation of fractional powers of unbounded positive operators attainable with a specific integral representation of the operator function. We provide accurate error bounds by exploiting classical results in approximation theory involving Padé approximants. The analysis improves some existing results and the numerical experiments proves its accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_10086 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Rational approximations to fractional powers of self-adjoint positive operators Aceto, Lidia Novati, Paolo Numerical Analysis We investigate the rational approximation of fractional powers of unbounded positive operators attainable with a specific integral representation of the operator function. We provide accurate error bounds by exploiting classical results in approximation theory involving Padé approximants. The analysis improves some existing results and the numerical experiments proves its accuracy. |
| title | Rational approximations to fractional powers of self-adjoint positive operators |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1807.10086 |