Irrational Acceleration of a Continued Fraction of $\pi$
| Autor: | Stachowiak, Tomasz |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | An application of (iterated) Bauer-Muir acceleration can give an Ap\'ery-like continued fraction for $\pi$ with irrational coefficients, and much faster convergence. It can be considered a generalized continued fraction with the same matrix representation as the standard case, but the dimension increased due to irrationality. The construction is also given for $\ln(2)$ and $\sqrt[3]{2}$. Comment: 10 pages; typos corrected and references added in v2 |
| Databáze: | arXiv |
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